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== I. Philosophy ==
== I. Philosophy ==
=== Classification, apriorism ===
<blockquote>Philosophy, according to Herr Dühring, is the development of the highest form of consciousness of the world and of life {D. Ph. 2},and in a wider sense embraces the ''principles'' of all knowledge and volition. Wherever a series of cognitions or stimuli or a group of forms of being come to be examined by human consciousness, the ''principles'' underlying these manifestations of necessity become an object of philosophy. These principles are the simple, or until now assumed to be simple, constituents of manifold knowledge and volition {8}. Like the chemical composition of bodies, the general constitution of things can be reduced to basic forms and basic elements. These ultimate constituents or principles, once they have been discovered, are valid not only for what is immediately known and accessible, but also for the world which is unknown and inaccessible to us. Philosophical principles consequently provide the final supplement required by the sciences in order to become a uniform system by which nature and human life can be explained {9}. Apart from the fundamental forms of all existence, philosophy has only two specific subjects of investigation — nature and the world of man {14}. Accordingly, our material arranges itself ''quite naturally'' into three groups, namely, the general scheme of the universe, the science of the principles of nature, and finally the science of mankind. This succession at the same time contains ''an inner logical sequence'', for the formal principles which are valid for all being take precedence, and the realms of the objects to which they are ''to be applied'' then follow in the degree of their subordination {15}.</blockquote><span name="083"></span>
So far Herr Dühring, and almost entirely word for word.
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What he is dealing with are therefore ''principles'', formal tenets derived from ''thought'' and not from the external world, which are to be applied to nature and the realm of man, and to which therefore nature and man have to conform. But whence does thought obtain these principles? From itself? No, for Herr Dühring himself says: the realm of pure thought is limited to logical schemata and mathematical forms {42} (the latter, moreover, as we shall see, is wrong). Logical schemata can only relate to ''forms of thought;'' but what we are dealing with here is solely forms of ''being'', of the external world, and these forms can never be created and derived by thought out of itself, but only from the external world. But with this the whole relationship is inverted: the principles are not the starting-point of the investigation, but its final result; they are not applied to nature and human history, but abstracted from them, it is not nature and the realm of man which conform to these principles, but the principles are only valid in so far as they are in conformity with nature and history. That is the only materialist conception of the matter, and Herr Dühring's contrary conception is idealistic, makes things stand completely on their heads, and fashions the real world out of ideas, out of schemata, schemes or categories existing somewhere before the world, from eternity — just like a ''Hegel''.
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In fact, let us compare Hegel’s ''Encyclopaedia'' <sup>[30]</sup> and all its delirious fantasies with Herr Dühring’s final and ultimate truths. With Herr Dühring we have in the first place general world schematism, which Hegel calls ''Logic.'' Then with both of them we have the application of these schemata or logical categories to nature: the philosophy of nature; and finally their application to the realm of man, which Hegel calls the philosophy of mind. The “inner logical sequence” of the Dühring succession therefore leads us “quite naturally” {D. Ph. 15} back to Hegel’s ''Encyclopaedia'', from which it has been taken with a loyalty which would move that wandering Jew of the Hegelian school, Professor Michelet of Berlin, to tears. <sup>[31]</sup>
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That is what comes of accepting “consciousness”, “thought”, quite naturalistically, as something given, something opposed from the outset to being, to nature. If that were so, it must seem extremely strange that consciousness and nature, thinking and being, the laws of thought and the laws of nature, should correspond so closely. But if the further question is raised what thought and consciousness really are and where they come from, it becomes apparent that they are products of the human brain and that man himself is a product of nature, which has developed in and along with its environment; hence it is self-evident that the products of the human brain, being in the last analysis also products of nature, do not contradict the rest of nature's interconnections but are in correspondence with them. <sup>[32]</sup>
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But Herr Dühring cannot permit himself such a simple treatment of the subject. He thinks not only in the name of humanity — in itself no small achievement — but in the name of the conscious and reasoning beings on all celestial bodies. Indeed, it would be
<span name="088"></span><blockquote>“a degradation of the basic forms of consciousness and knowledge to attempt to rule out or even to put under suspicion their sovereign validity and their unconditional claim to truth, by applying the epithet ‘human’ to them” {2}.</blockquote><span name="089"></span>
Hence, in order that no suspicion may arise that on some celestial body or other twice two makes five {30-31}, Herr Dühring dare not designate thought as being human, and so he has to sever it from the only real foundation on which we find it, namely, man and nature; and with that he tumbles hopelessly into an ideology <sup>[33]</sup> which reveals him as the epigone of the “epigone” Hegel {197}. By the way, we shall often meet Herr Dühring again on other celestial bodies.
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It goes without saying that no materialist doctrine can be founded on such an ideological basis. Later on we shall see that Herr Dühring is forced more than once to endow nature surreptitiously with conscious activity, with what in plain language is called God.
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However, our philosopher of reality had also other motives for shifting the basis of all reality from the real world to the world of thought. The science of this general world schematism, of these formal principles of being, is precisely the foundation of Herr Dühring's philosophy. If we deduce world schematism not from our minds, but only ''through'' our minds from the real world, if we deduce principles of being from what is, we need no philosophy for this purpose, but positive knowledge of the world and of what happens in it; and what this yields is also not philosophy, but positive science. In that case, however, Herr Dühring's whole volume would be nothing but love's labour lost.
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Further: if no philosophy as such is any longer required, then also there is no more need of any system, not even of any natural system of philosophy. The perception that all the processes of nature are systematically connected drives science on to prove this systematic connection throughout, both in general and in particular. But an adequate, exhaustive scientific exposition of this interconnection, the formation of an exact mental image of the world system in which we live, is impossible for us, and will always remain impossible. If at any time in the development of mankind such a final, conclusive system of the interconnections within the world — physical as well as mental and historical — were brought about, this would mean that human knowledge had reached its limit, and, from the moment when society had been brought into accord with that system, further historical development would be cut short — which would be an absurd idea, sheer nonsense. Mankind therefore finds itself faced with a contradiction: on the one hand, it has to gain an exhaustive knowledge of the world system in all its interrelations; and on the other hand, because of the nature both of men and of the world system, this task can never be completely fulfilled. But this contradiction lies not only in the nature of the two factors — the world, and man — it is also the main lever of all intellectual advance, and finds its solution continuously, day by day, in the endless progressive development of humanity, just as for example mathematical problems find their solution in an infinite series or continued fractions. Each mental image of the world system is and remains in actual fact limited, objectively by the historical conditions and subjectively by the physical and mental constitution of its originator. But Herr Dühring explains in advance that his mode of reasoning is such that it excludes any tendency to a subjectively limited conception of the world. We saw above that he was omnipresent — on all possible celestial bodies. We now see that he is also omniscient. He has solved the ultimate problems of science and thus nailed boards across the future of all science.
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As with the basic forms of being, so also with the whole of pure mathematics: Herr Dühring thinks that he can produce it ''a priori'' that is, without making use of the experience offered us by the external world, can construct it in his head.
<span name="094"></span><blockquote>In pure mathematics the mind deals “with its own free creations and imaginations” {D. Ph. 43}; the concepts of number and figure are “the adequate object of that pure science which it can create of itself” {42}, and hence it has a “validity which is independent of ''particular'' experience and of the real content of the world” {43}.</blockquote><span name="095"></span>
That pure mathematics has a validity which is independent of the ''particular'' experience of each individual is, for that matter, correct, and this is true of all established facts in every science, and indeed of all facts whatsoever. The magnetic poles, the fact that water is composed of hydrogen and oxygen, the fact that Hegel is dead and Herr Dühring alive, hold good independently of my own experience or that of any other individual, and even independently of Herr Dühring’s experience, when he begins to sleep the sleep of the just. But it is not at all true that in pure mathematics the mind deals only with its own creations and imaginations. The concepts of number and figure have not been derived from any source other than the world of reality. The ten fingers on which men learnt to count, that is, to perform the first arithmetical operation, are anything but a free creation of the mind. Counting requires not only objects that can be counted, but also the ability to exclude all properties of the objects considered except their number — and this ability is the product of a long historical development based on experience. Like the idea of number, so the idea of figure is borrowed exclusively from the external world, and does not arise in the mind out of pure thought. There must have been things which had shape and whose shapes were compared before anyone could arrive at the idea of figure. Pure mathematics deals with the space forms and quantity relations of the real world — that is, with material which is very real indeed. The fact that this material appears in an extremely abstract form can only superficially conceal its origin from the external world. But in order to make it possible to investigate these forms and relations in their pure state, it is necessary to separate them entirely from their content, to put the content aside as irrelevant; thus we get points without dimensions, lines without breadth and thickness, ''a'' and ''b'' and ''x'' and ''y'', constants and variables; and only at the very end do we reach the free creations and imaginations of the mind itself, that is to say, imaginary magnitudes. Even the apparent derivation of mathematical magnitudes from each other does not prove their ''a priori'' origin, but only their rational connection. Before one came upon the idea of deducing the ''form'' of a cylinder from the rotation of a rectangle about one of its sides, a number of real rectangles and cylinders, however imperfect in form, must have been examined. Like all other sciences, mathematics arose out of the ''needs'' of men: from the measurement of land and the content of vessels, from the computation of time and from mechanics. But, as in every department of thought, at a certain stage of development the laws, which were abstracted from the real world, become divorced from the real world, and are set up against it as something independent, as laws coming from outside, to which the world has to conform. That is how things happened in society and in the state, and in this way, and not otherwise, ''pure'' mathematics was subsequently ''applied'' to the world, although it is borrowed from this same world and represents only one part of its forms of interconnection — and it is only ''just because of this'' that it can be applied at all.
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But just as Herr Dühring imagines that, out of the axioms of mathematics,
<span name="097"></span><blockquote>“which also in accordance with pure logic neither require nor are capable of substantiation” {34},</blockquote><span name="098"></span>
he can deduce the whole of pure mathematics without any kind of empirical admixture, and then apply it to the world, so he likewise imagines that he can, in the first place, produce out of his head the basic forms of being, the simple elements of all knowledge, the axioms of philosophy, deduce from these the whole of philosophy or world schematism, and then, by sovereign decree, impose this constitution of his on nature and humanity. Unfortunately nature is not at all, and humanity only to an infinitesimal degree, composed of the Manteuffelite Prussians of 1850. <sup>[34]</sup>
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Mathematical axioms are expressions of the scantiest thought-content, which mathematics is obliged to borrow from logic. They can be reduced to two:
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1) The whole is greater than its part. This statement is pure tautology, as the quantitatively conceived idea “part” is from the outset definitely related to the idea “whole”, and in fact in such a way that “part” simply means that the quantitative “whole” consists of several quantitative “parts”. In stating this explicitly, the so-called axiom does not take us a step further. This tautology can even in a way ''be proved'' by saying: a whole is that which consists of several parts; a part is that of which several make a whole; hence the part is less than the whole — in which the inanity of repetition brings out even more clearly the inanity of content.
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2) If two quantities are equal to a third, they are equal to each other. This statement, as Hegel has already shown, is a conclusion, the correctness of which is vouched for by logic, and which is therefore proved, although outside of pure mathematics. The remaining axioms relating to equality and inequality are merely logical extensions of this conclusion.
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These meagre principles do not cut much ice, either in mathematics or anywhere else. In order to get any further, we are obliged to bring in real relations, relations and space forms which are taken from real bodies. The ideas of lines, planes, angles, polygons, cubes, spheres, etc., are all taken from reality, and it requires a pretty good portion of naive ideology to believe the mathematicians that the first line came into existence through the movement of a point in space, the first plane through the movement of a line, the first solid through the movement of a plane, and so on. Even language rebels against such a conception. A mathematical figure of three dimensions is called a solid body, ''corpus solidum'', hence, in Latin, even a tangible object; it therefore has a name derived from sturdy reality and by no means from the free imagination of the mind.
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But why all this prolixity? After Herr Dühring, on pages 42 and 43, <sup>[35]</sup> has enthusiastically sung the independence of pure mathematics from the world of experience, its apriority, its preoccupation with the mind’s own free creations and imaginations, he says on page 63:
<span name="104"></span><blockquote>“It is, of course, easily overlooked that those mathematical elements (number, magnitude, time, space and geometric motion) are ''ideal only in their form'', ''... absolute magnitudes'' are therefore something completely ''empirical'', no matter to what species they belong”, ... but “mathematical schemata are capable of characterisation which is adequate even though ''divorced'' from experience.”</blockquote><span name="105"></span>
The last statement is more or less true of ''every'' abstraction, but does not by any means prove that it is not abstracted from reality. In world schematism pure mathematics arose out of pure thought — in the philosophy of nature it is something completely empirical, taken from the external world and then divorced from it. Which are we to believe?
=== World schematism ===
<blockquote>“All-embracing being is ''one.'' In its self-sufficiency it has nothing alongside it or over it. To associate a second being with it would be to make it something that it is not, namely, a part or constituent of a more comprehensive whole. Due to the fact that we extend our ''unified'' thought like a framework, nothing that should be comprised in this thought-unity can retain a duality within itself. Nor, again, can anything escape this thought-unity... The essence of all thought consists in bringing together the elements of consciousness into a unity {D. Ph. 16} ... It is the point of unity of the synthesis where the ''indivisible idea of the world'' came into being and the universe, as the name itself implies, is apprehended as something in which everything is united into ''unity''” {17}.</blockquote><span name="109"></span>
Thus far Herr Dühring. This is the first application of the mathematical method:
<span name="110"></span><blockquote>“Every question is to be decided ''axiomatically'' in accordance with simple basic forms, as if we were dealing with the simple ... principles of mathematics” {224}.</blockquote><span name="111"></span>
“All-embracing being is one.” If tautology, the simple repetition in the predicate of what is already expressed in the subject — if that makes an axiom, then we have here one of the purest water. Herr Dühring tells us in the subject that being embraces everything, and in the predicate he intrepidly declares that in that case there is nothing outside it. What colossal “system-creating thought” {525}!
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This is indeed system-creating! Within the space of the next six lines Herr Dühring has transformed the ''oneness'' of being, by means of our unified thought, into its ''unit.'' As the essence of all thought consists in bringing things together into a unity, so being, as soon as it is conceived, is conceived as unified, and the idea of the world as indivisible; and because ''conceived'' being, the ''idea of the world'', is unified, therefore real being, the real world, is also an indivisible unity. And with that
<span name="113"></span><blockquote>“there is no longer any room for things beyond, once the mind has learnt to conceive being in its homogeneous universality” {D. Ph. 523}.</blockquote><span name="114"></span>
That is a campaign which puts Austerlitz and Jena, Königgrätz and Sedan completely in the shade. <sup>[36]</sup> In a few sentences, hardly a page after we have mobilised the first axiom, we have already done away with, cast overboard, destroyed, everything beyond the world — God and the heavenly hosts, heaven, hell and purgatory, along with the immortality of the soul.
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How do we get from the oneness of being to its unity? By the very fact of conceiving it. In so far as we spread our unified thought around being like a frame, its oneness becomes a unity in thought, a thought-unity; for the essence of ''all'' thought consists in bringing together the elements of consciousness into a unity.
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This last statement is simply untrue. In the first place, thought consists just as much in the taking apart of objects of consciousness into their elements as in the putting together of related elements into a unity. Without analysis, no synthesis. Secondly, without making blunders thought can bring together into a unity only those elements of consciousness in which or in whose real prototypes this unity already ''existed before.'' If I include a shoe-brush in the unity mammals, this does not help it to get mammary glands. The unity of being, or rather, the question whether its conception as a unity is justified, is therefore precisely what was to be proved; and when Herr Dühring assures us that he conceives being as a unity and not as twofold, he tells us nothing more than his own unauthoritative opinion.
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If we try to state his process of thought in unalloyed form, we get the following: I begin with being. I therefore think what being is. The thought of being is a unified thought. But thinking and being must be in agreement, they are in conformity with each other, they “coincide”. Therefore being is a unity also in reality. Therefore there cannot be anything “beyond”. If Herr Dühring had spoken without disguise in this way, instead of treating us to the above oracular passages, his ideology would have been clearly visible. To attempt to prove the reality of any product of thought by the identity of thinking and being was indeed one of the most absurd delirious fantasies of — a Hegel.
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Even if his whole method of proof had been correct, Herr Dühring would still not have won an inch of ground from the spiritualists. The latter would reply briefly: to us, too, the universe is simple; the division into this world and the world beyond exists only for our specifically earthly, original-sin standpoint; in and for itself, that is, in God, all being is a unity. And they would accompany Herr Dühring to his other beloved celestial bodies and show him one or several on which there had been no original sin, where therefore no opposition exists between this world and the beyond, and where the unity of the universe is a dogma of faith.
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The most comical part of the business is that Herr Dühring, in order to prove the non-existence of God from the idea of being, uses the ontological proof for the existence of God. This runs: when we think of God, we conceive him as the sum total of all perfections. But the sum total of all perfections includes above all existence, since. a non-existent being is necessarily imperfect. We must therefore include existence among the perfections of God. Hence God must exist. Herr Dühring reasons in exactly the same way: when we think of ''being'', we conceive it as ''one'' idea. Whatever is comprised in ''one'' idea is a unity. Being would not correspond to the idea of being if it were not a unity. Consequently it must be a unity. Consequently there is no God, and so on.
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When we speak of ''being'', and ''purely'' of being, unity can only consist in that all the objects to which we are referring — ''are'', exist. They are comprised in the unity of this being, and in no other unity, and the general dictum that they all ''are'' not only cannot give them any additional qualities, whether common or not, but provisionally excludes all such qualities from consideration. For as soon as we depart even a millimetre from the simple basic fact that being is common to all these things, the ''differences'' between these things begin to emerge — and whether these differences consist in the circumstance that some are white and others black, that some are animate and others inanimate, that some may be of this world and others of the world beyond, cannot be decided by us from the fact that mere existence is in equal manner ascribed to them all.
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The unity of the world does not consist in its being, although its being is a precondition of its unity, as it must certainly first ''be'' before it can be ''one.'' Being, indeed, is always an open question beyond the point where our sphere of observation ends.  ''The real unity of the world consists in its materiality, and this is proved not by a few juggled phrases, but by a long and wearisome development of philosophy and natural science.''
<span name="122"></span>
To return to the text. The ''being'' which Herr Dühring is telling us about is
<span name="123"></span><blockquote>“not that pure, self-equal being which lacks all special determinants, and in fact represents only the counterpart of the idea of ''nothing'' or of the absence of idea” {D. Ph. 22}.</blockquote><span name="124"></span>
But we shall see very soon that Herr Dühring's universe really starts with a being which lacks all inner differentiation, all motion and change, and is therefore in fact only a counterpart of the idea of nothing, and therefore really nothing. Only out of this ''being-nothing'' develops the present differentiated, changing state of the universe, which represents a development, a ''becoming;'' and it is only after we have grasped this that we are able, even within this perpetual change, to
<span name="125"></span><blockquote>“maintain the conception of universal being in a self-equal state” {D. Ph. 23}.</blockquote><span name="126"></span>
We have now, therefore, the idea of being on a higher plane, where it includes within itself both inertness and change, being and becoming. Having reached this point, we find that
<span name="127"></span><blockquote>“genus and species, or the general and the particular, are the simplest means of differentiation, without which the constitution of things cannot be understood” {24}.</blockquote><span name="128"></span>
But these are means of differentiation of ''qualities;'' and after these have been dealt with, we proceed:
<span name="129"></span><blockquote>“in opposition to genus stands the concept of magnitude, as of a homogeneity in which no further differences of species exist” {26};</blockquote><span name="130"></span>
and so from ''quality'' we pass to ''quantity'', and this is always “''measurable''” {26}.
<span name="131"></span>
Let us now compare this “sharp division of the general effect-schemata” {D.C. 6} and its “really critical standpoint” {D. Ph. 404} with the crudities, wild ravings and delirious fantasies of a Hegel. We find that Hegel's logic starts from ''being'' — as with Herr Dühring; that being turns out to be ''nothing'', just as with Herr Dühring; that from this being-nothing there is a transition to ''becoming'' the result of which is determinate being [Dasein], i.e., a higher, fuller form of being [Sein] — just the same as with Herr Dühring. Determinate being leads on to ''quality'', and quality on to ''quantity'' — just the same as with Herr Dühring. And so that no essential feature may be missing, Herr Dühring tells us on another occasion:
<span name="132"></span><blockquote>“From the realm of non-sensation a transition is made to that of sensation, in spite of all quantitative gradations, only through a ''qualitative leap'', of which we can say that it is infinitely different from the mere gradation of one and the same property” {142}.</blockquote><span name="133"></span>
This is precisely the Hegelian nodal dine of measure relations, in which, at certain definite nodal points, the purely quantitative increase or decrease gives rise to a ''qualitative leap;'' for example, in the case of heated or cooled water, where boiling-point and freezing-point are the nodes at which — under normal pressure — the leap to a new state of aggregation takes place, and where consequently quantity is transformed into quality.
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Our investigation has likewise tried to reach down to the roots, and it finds the roots of the deep-rooted basic schemata of Herr Dühring to be — the “delirious fantasies” of a Hegel, the categories of Hegelian ''Logic'', Part I, the Doctrine of Being, in strictly old-Hegelian “succession” and with hardly any attempt to cloak the plagiarism!
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And not content with pilfering from his worst-slandered predecessor the latter's whole scheme of being, Herr Dühring, after himself giving the above-quoted example of the leaplike change from quantity into quality, says of Marx without the slightest perturbation:
<span name="136"></span><blockquote>“How ridiculous, for example, is the reference” (made by Marx) “to the Hegelian ''confused'', ''hazy notion'' that ''quantity is transformed into quality''!” {D. K. G. 498}.</blockquote><span name="137"></span>
Confused, hazy notion! Who has been transformed here? And who is ridiculous here, Herr Dühring?
<span name="138"></span>
All these pretty little things are therefore not only not “axiomatically decided”, as prescribed, but are merely imported from outside, that is to say, from Hegel's ''Logic.'' And in fact in such a form that in the whole chapter there is not even the semblance of any internal coherence unless borrowed from Hegel, and the whole question finally trickles out in a meaningless subtilising about space and time, inertness and change.
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From being Hegel passes to essence, to dialectics. Here he deals with the determinations of reflection, their internal ''antagonisms'' and contradictions, as for example, positive and negative; he then comes to ''causality'' or the relation of cause and effect and ends with ''necessity.'' Not otherwise Herr Dühring. What Hegel calls the doctrine of essence Herr Dühring translates into “logical properties of being” {D. Ph. 29}. These, however, consist above all in the “antagonism of forces” {31}, in ''opposites.'' Contradiction, however, Herr Dühring absolutely denies; we will return to this point later. Then he passes over to ''causality'', and from this to ''necessity. So'' that when- Herr Dühring says of himself:
<span name="140"></span><blockquote>“We, who do not philosophise out ''of a cage''” {41},</blockquote><span name="141"></span>
he apparently means that he philosophises ''in'' a cage, namely, the cage of the Hegelian schematism of categories.
=== Philosophy of Nature ===
==== Time and space ====
We now come to ''philosophy of nature.'' Here again Herr Dühring has every cause for dissatisfaction with his predecessors.
<span name="145"></span>
“Natural philosophy sank so low that it became an arid, spurious doggerel founded on ignorance”, and “fell to the prostituted philosophistics of a Schelling and his like, rigging themselves out in the priesthood of the Absolute and hoodwinking the public”. Fatigue has saved us from these “deformities”; but up to now it has only given place to “instability”; “and as far as the public at large is concerned, it is well known that the disappearance of a great charlatan is often only the opportunity for a lesser but commercially more experienced successor to put out again, under another signboard; the products of his predecessor”. Natural scientists themselves feel little “inclination to make excursions into the realm of world-encompassing ideas”, and consequently jump to “wild and hasty conclusions in the theoretical sphere” {D. Ph. 56-57}.
<span name="146"></span>
The need for deliverance is therefore urgent, and by a stroke of good luck Herr Dühring is at hand.
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In order properly to appreciate the revelations which now follow on the development of the world in time and its limitations in space, we must turn back again to certain passages in "world schematism" {15}.
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Infinity — which Hegel calls ''bad'' infinity — is attributed to being also in accordance with Hegel ''(Encyclopaedia'', ''§ 93)'', and then this infinity is investigated.
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“The clearest form of an infinity which can be conceived ''without contradiction'' is the unlimited accumulation of numbers in a numerical series {18} ... As we can add yet another unit to any number, without ever exhausting the possibility of further numbers, so also to every state of being a further state succeeds, and infinity consists in the unlimited begetting of these states. This ''exactly conceived'' infinity has consequently only one single basic form with one single direction. For although it is immaterial to our thought whether or not it conceives an opposite direction in the accumulation of states, this retrogressing infinity is nevertheless only a rashly constructed thought-image. Indeed, since this infinity would have to be traversed in reality in the ''reverse'' direction, it would in each of its states have an infinite succession of numbers behind itself. But this would involve the impermissible contradiction of a counted infinite numerical series, and so it is contrary to reason to postulate any second direction in infinity” {19}.
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The first conclusion drawn from this conception of infinity is that the chain of causes and effects in the world must at some time have had a beginning:
<span name="151"></span>
“an infinite number of causes which assumedly already have lined up next to one another is inconceivable, just because it presupposes that the uncountable has been counted” {37}.
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And thus a ''final cause'' is proved.
<span name="153"></span>
The second conclusion is
<span name="154"></span>
“the law of definite number: the accumulation of identities of any actual species of independent things is only conceivable as forming a definite number“. Not only must the number of celestial bodies existing at any point of time be in itself definite, but so must also the total number of all, even the tiniest independent particles of matter existing in the world. This latter requisite is the real reason why no composition can be conceived without atoms. All actual division has always a definite limit, and must have it if the contradiction of the counted uncountable is to be avoided. For the same reason, not only must the number of the earth's revolutions round the sun up to the present time be a definite number, even though it cannot be stated, but all periodical processes of nature must have had some beginning, and all differentiation, all the multifariousness of nature which appears in succession must have its roots in one ''self-equal state.'' This state may, without involving a contradiction, have existed from eternity; but even this idea would be excluded if time in itself were composed of real parts and were not, on the contrary, merely arbitrarily divided up by our minds owing to the variety of conceivable possibilities. The case is quite different with the real, and in itself distinguished content of time; this real filling of time with distinguishable facts and the forms of being of this sphere belong, precisely because of their distinguishability, to the realm of the countable {64-65}. If we imagine a state in which no change occurs and which in its self-equality provides no differences of succession whatever, the more specialised idea of time transforms itself into the more general idea of being. What the accumulation of empty duration would mean is quite unimaginable {70}.
<span name="155"></span>
Thus far Herr Dühring, and he is not a little edified by the significance of these revelations. At first he hopes that they will “at least not be regarded as paltry truths” {64}; but later we find:
<span name="156"></span>
“Recall to your mind ''the extremely simple'' methods by which ''we'' helped forward the concepts of infinity and their critique to a ''hitherto unknown import...'' the elements of the universal conception of space and time, which have been given such ''simple'' form by the sharpening and deepening now effected” {427-28}.
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''We'' helped forward! The deepening and sharpening now effected! Who are "we", and when is this "now"? Who is deepening and sharpening?
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"Thesis: The world has a beginning in time, and with regard to space is also limited. — Proof: For if it is assumed that the world has no beginning in time, then an eternity must have elapsed up to every given point of time, and consequently an infinite series of successive states of things must have passed away in the world. The infinity of a series, however, consists precisely in this, that it can never be completed by means of a successive synthesis. Hence an infinite elapsed series of worlds is impossible, and consequently a beginning of the world is a necessary condition of its existence. And this was the first thing to be proved. — With regard to the second, if the opposite is again assumed, then the world must be an infinite given total of co-existent things. Now we cannot conceive the dimensions of a quantum, which is not given within certain limits of an intuition, in any other way than by means of the synthesis of its parts, and can conceive the total of such a quantum only by means of a completed synthesis, or by the repeated addition of a unit to itself. Accordingly, to conceive the world, which fills all spaces, as a whole, the successive synthesis of the parts of an infinite world would have to be looked upon as completed; that is, an infinite time would have to be regarded as elapsed in the enumeration of all co-existing things. This is impossible. For this reason an infinite aggregate of actual things cannot be regarded as a given whole nor, therefore, as given ''at the same time.'' Hence it follows that the world is not infinite, as regards extension in space, but enclosed in limits. And this was the second thing" (to be proved).
<span name="159"></span>
These sentences are copied word for word from a well-known book which first appeared in 1781 and is called: ''Kritik der reinen Vernunft'' by Immanuel Kant, where all and sundry can read them, in the first part, Second Division, Book II, Chapter II, Section II: The First Antinomy of Pure Reason. So that Herr Dühring's fame rests solely on his having tacked on the ''name —'' Law of Definite Number — to an idea expressed by Kant, and on having made the discovery that there was once a time when as yet there was no time, though there was a world. As regards all the rest, that is, anything in Herr Dühring's exegesis which has some meaning, “We” — is Immanuel Kant, and the “now” is only ninety-five years ago. Certainly “extremely simple”! Remarkable “hitherto unknown import”!
<span name="160"></span>
Kant, however, does not at all claim that the above propositions are established by his proof. On the contrary; on the opposite page he states and proves the reverse: that the world has no beginning in time and no end in space; and it is precisely in this that he finds the antinomy, the insoluble contradiction, that the one is just as demonstrable as the other. People of smaller calibre might perhaps fuel a little doubt here on account of “a Kant” having found an insoluble difficulty. But not so our valiant fabricator of “from the ground up original conclusions and views” {D. Ph. 525}; he indefatigably copies down as much of Kant’s antinomy as suits his purpose, and throws the rest aside.
<span name="161"></span>
The problem itself has a very simple solution. Eternity in time, infinity in space, signify from the start, and in the simple meaning of the words, that there is no end in ''any'' direction neither forwards nor backwards, upwards or downwards, to the right or to the left. This infinity is something quite different from that of an infinite series, for the latter always starts from one, with a first term. The inapplicability of this idea of series to our object becomes clear directly we apply it to space. The infinite series, transferred to the sphere of space, is a line drawn from a definite point in a definite direction to infinity. Is the infinity of space expressed in this even in the remotest way? On the contrary, the idea of spatial dimensions involves six lines drawn from this one point in three opposite directions, and consequently we would have six of these dimensions. Kant saw this so clearly that he transferred his numerical series only indirectly, in a roundabout way, to the space relations of the world. Herr Dühring, on the other hand, compels us to accept six dimensions in space, and immediately afterwards can find no words to express his indignation at the mathematical mysticism of Gauss, who would not rest content with the usual three dimensions of space <sup>[37]</sup> {See D. Ph. 67-68}.
<span name="162"></span>
As applied to time, the line or series of units infinite in both directions has a certain figurative meaning. But if we think of time as a series counted from ''one'' forward, or as a line starting from a ''definite point'', we imply in advance that time has a beginning: we put forward as a premise precisely what we are to prove. We give the infinity of time a one-sided, halved character; but a one-sided, halved infinity is also a contradiction in itself, the exact opposite of an “infinity conceived without contradiction”. We can only get past this contradiction if we assume that the ''one'' from which we begin to count the series, the point from which we proceed to measure the line is any ''one'' in the series, that it is any one of the points in the line, and that it is a matter of indifference to the line or to the series where we place this ''one'' or this point.
<span name="163"></span>
But what of the contradiction of “the counted infinite numerical series”? We shall be in a position to examine this more closely as soon as Herr Dühring has performed for us the clever trick of ''counting it.'' When he has completed the task of counting from (minus infinity) to 0 let him come again. It is certainly obvious that, at whatever point he begins to count, he will leave behind him an infinite series and, with it, the task which he is to fulfil. Let him just reverse his own infinite series 1 + 2 + 3 + 4 ... and try to count from the infinite end back to 1; it would obviously only be attempted by a man who has not the faintest understanding of what the problem is. And again: if Herr Dühring states that the infinite series of elapsed time has been counted, he is thereby stating that time has a beginning; for otherwise he would not have been able to start “counting” at all. Once again, therefore, he puts into the argument, as a premise, the thing that he has to prove.
<span name="164"></span>
The idea of an infinite series which has been counted, in other words, the world-encompassing Dühringian law of definite number, is therefore a ''contradictio in adjecto'', [“contradiction in definition” — ed.] contains within itself a contradiction, and in fact an ''absurd'' contradiction.
<span name="165"></span>
It is clear that an infinity which has an end but no beginning is neither more nor less infinite than that which has a beginning but no end. The slightest dialectical insight should have told Herr Dühring that beginning and end necessarily belong together, like the north pole and the south pole, and that if the end is left out, the beginning just becomes the end — the ''one'' end which the series has; and vice versa. The whole deception would be impossible but for the mathematical usage of working with infinite series. Because in mathematics it is necessary to start from definite, finite terms in order to reach the indefinite, the infinite, all mathematical series, positive or negative, must start from 1, or they cannot be used for calculation. The abstract requirement of a mathematician is, however, far from being a compulsory law for the world of reality.
<span name="166"></span>
For that matter, Herr Dühring will never succeed in conceiving real infinity without contradiction. Infinity is a contradiction, and is full of contradictions. From the outset it is a contradiction that an infinity is composed of nothing but finites, and yet this is the case. The limitedness of the material world leads no less to contradictions than its unlimitedness, and every attempt to get over these contradictions leads, as we have seen, to new and worse contradictions. It is just ''because'' infinity is a contradiction that it is an infinite process, unrolling endlessly in time and in space. The removal of the contradiction would be the end of infinity. Hegel saw this quite correctly, and for that reason treated with well-merited contempt the gentlemen who subtilised over this contradiction.
<span name="167"></span>
Let us pass on. So time had a beginning. What was there before this beginning? The universe, which was then in a self-equal, unchanging state. And as in this state no changes succeed one another, the more specialised idea of time transforms itself into the more general idea of ''being.'' In the first place, we are here not in the least concerned with what ideas change in Herr Dühring's head. The subject at issue is not the ''idea of time'', but ''real'' time, which Herr Dühring cannot rid himself of so cheaply. In the second place, however much the idea of time may convert itself into the more general idea of being, this does not take us one step further. For the basic forms of all being are space and time, and being out of time is just as gross an absurdity as being out of space. The Hegelian “being past away non-temporally” and the neo-Schellingian “unpremeditatable being” are rational ideas compared with this being out of time. And for this reason Herr Dühring sets to work very cautiously; actually it is of course time, but of such a kind as cannot really be called time, time, indeed, in itself does not consist of real parts, and is only divided up at will by our mind — only an actual filling of time with distinguishable facts is susceptible of being counted — what the accumulation of empty duration means is quite unimaginable. What this accumulation is supposed to mean is here beside the point; the question is, whether the world, in the state here assumed, has duration, passes through a duration in time. We have long known that we can get nothing by measuring such a duration without content just as we can get nothing by measuring without aim or purpose in empty space; and Hegel, just because of the weariness of such an effort, calls such an infinity ''bad.'' According to Herr Dühring time exists only through change; change in and through time does not exist. Just because time is different from change, is independent of it, it is possible to measure it by change, for measuring always requires something different from the thing to be measured. And time in which no recognisable changes occur is very far removed from ''not'' being time; it is rather ''pure'' time, unaffected by any foreign admixtures, that is, real time, time ''as such.'' In fact, if we want to grasp the idea of time in all its purity, divorced from all alien and extraneous admixtures, we are compelled to put aside, as not being relevant here, all the various events which occur simultaneously or one after another in time, and in this way to form the idea of a time in which nothing happens. In doing this, therefore, we have not let the concept of time be submerged in the general idea of being, but have thereby for the first time arrived at the pure concept of time.
<span name="168"></span>
But all these contradictions and impossibilities are only mere child”s play compared with the confusion into which Herr Dühring falls with his self-equal initial state of the world. If the world had ever been in a state in which no change whatever was taking place, how could it pass from this state to alteration? The absolutely unchanging, especially when it has been in this state from eternity, cannot possibly get out of such a state by itself and pass over into a state of motion and change. An initial impulse must therefore have come from outside, from outside the universe, an impulse which set it in motion. But as everyone knows, the “initial impulse” is only another expression for God. God and the beyond, which in his world schematism Herr Dühring pretended to have so beautifully dismantled, are both introduced again by him here, sharpened and deepened, into natural philosophy.
<span name="169"></span>
Further, Herr Dühring says:
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“Where magnitude is attributed to a constant element of being, it will remain unchanged in its determinateness. This holds good ... of matter and mechanical force” {D. Ph. 26}.
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The first sentence, it may be noted in passing, is a precious example of Herr Dühring's axiomatic-tautological grandiloquence: where magnitude does not change, it remains the same. Therefore the amount of mechanical force which exists in the world remains the same for all eternity. We will overlook the fact that, in so far as this is correct, Descartes already knew and said it in philosophy nearly three hundred years ago; that in natural science the theory of the conservation of energy has held sway for the last twenty years; and that Herr Dühring, in limiting it to ''mechanical'' force, does not in any way improve on it. But where was the mechanical force at the time of the unchanging state? Herr Dühring obstinately refuses to give us any answer to this question.
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Where, Herr Dühring, was the eternally self-equal mechanical force at that time, and what did it put in motion? The reply:
<span name="173"></span>
“The original state of the universe, or to put it more plainly, of an unchanging existence of matter which comprised no accumulation of changes in time, is a question which can be spurned only by a mind that sees the acme of wisdom in the self-mutilation of its own generative power.” {78-79}.
<span name="174"></span>
Therefore: either you accept without examination my unchanging original state, or I, Eugen Dühring, the possessor of creative power, will certify you as intellectual eunuchs. That may, of course, deter a good many people. But we, who have already seen some examples of Herr Dühring's generative power, can permit ourselves to leave this genteel abuse unanswered for the moment, and ask once again: But Herr Dühring, if you please, what about that mechanical force?
<span name="175"></span>
Herr Dühring at once grows embarrassed.
<span name="176"></span>
In actual fact, he stammers, “the absolute identity of that initial extreme state does not in itself provide any principle of transition. But we must remember that at bottom the position is similar with every new link, however small, in the chain of existence with which we are familiar. So that whoever wants to raise difficulties in the fundamental case now under consideration must take care that he does not allow himself to pass them by on less obvious occasions. Moreover, there exists the possibility of interposing successively graduated intermediate stages, and also a bridge of continuity by which it is possible to move backwards and reach the extinction of the process of change. It is true that from a purely conceptual standpoint this continuity does not help us pass the main difficulty, but to us it is the basic form of all regularity and of every known form of transition in general, so that we are entitled to use it also as a medium between that first equilibrium and the disturbance of it. But if we had conceived the so to speak” (!) “motionless equilibrium on the model of the ideas which are accepted without any particular objection” (!) “in our present-day mechanics, there would be no way of explaining how matter could have reached the process of change.” Apart from the mechanics of masses there is, however, we are told, also a transformation of mass movement into the movement of extremely small particles, but as to how this takes place — “for this up to the present we have no general principle at our disposal and consequently we should not be surprised if these processes take place somewhat in ''the dark''” {79-80, 81}.
<span name="177"></span>
That is all Herr Dühring has to say. And in fact, we would have to see the acme of wisdom not only in the “self-mutilation of our generative power” {79}, but also in blind, implicit faith, if we allowed ourselves to be put off with these really pitiable rank subterfuges and circumlocutions. Herr Dühring admits that absolute identity cannot of itself effect the transition to change. Nor is there any means whereby absolute equilibrium can of itself pass into motion. What is there, then? Three lame, false arguments.
<span name="178"></span>
Firstly: it is just as difficult to show the transition from each link, however small, in the chain of existence with which we are familiar, to the next one. — Herr Dühring seems to think his readers are infants. The establishment of individual transitions and connections between the tiniest links in the chain of existence is precisely the content of natural science, and when there is a hitch at some point in its work no one, not even Herr Dühring, thinks of explaining prior motion as having arisen out of nothing, but always only as a transfer, transformation or transmission of some previous motion. But here the issue is admittedly one of accepting motion as having arisen out of immobility, that is, ''out of nothing.''
<span name="179"></span>
In the second place, we have the “bridge of continuity”. From a purely conceptual standpoint, this, to be sure, does not help us over the difficulty, but all the same we are entitled to ''use'' it as a medium between immobility and motion. Unfortunately the continuity of immobility consists in ''not'' moving; how therefore it is to produce motion remains more mysterious than ever. And however infinitely small the parts into which Herr Dühring minces his transition from complete non-motion to universal motion, and however long the duration he assigns to it, we have not got a ten-thousandth part of a millimetre further. Without an act of creation we can never get from nothing to something, even if the something were as small as a mathematical differential. The bridge of continuity is therefore not even an asses’ bridge <sup>[37a]</sup>; it is passable only for Herr Dühring.
<span name="180"></span>
Thirdly: so long as present-day mechanics holds good — and this science, according to Herr Dühring, is one of the most essential levers for the formation of thought — it cannot be explained at all how it is possible to pass from immobility to motion. But the mechanical theory of heat shows us that the movement of masses under certain conditions changes into molecular movement (although here too one motion originates from another motion, but never from immobility); and this, Herr Dühring shyly suggests, may possibly furnish a bridge between the strictly static (in equilibrium) and dynamic (in motion). But these processes take place “somewhat in the dark”. And it is in the dark that Herr Dühring leaves us sitting.
<span name="181"></span>
This is the point we have reached with all his deepening and sharpening — that we have perpetually gone deeper into ever sharper nonsense, and finally land up where of necessity we had to land up — “in the dark”. But this does not abash Herr Dühring much. Right on the next page he has the effrontery to declare that he has
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“been able to provide a real content for the idea of self-equal stability directly from the behaviour of matter ''and the mechanical forces''” {D. Ph. 82}.
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And this man describes other people as “charlatans”!
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Fortunately, in spite of all this helpless wandering and confusion “in the dark”, we are left with one consolation, and this is certainly edifying to the soul:
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“The mathematics of the inhabitants of other celestial bodies can rest on no other axioms than our own!” {69}.
==== Cosmogony, Physics, Chemistry. ====
==== The Organic World. ====
==== Conclusion ====


== II. Political economy ==
== II. Political economy ==

Revision as of 16:34, 6 November 2020

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Formerly known as Herr Eugen Dühring's Revolution in Science, Engels’ Anti-Dühring is a popular and enduring work which, as Engels wrote to Marx, was an attempt “to produce an encyclopaedic survey of our conception of the philosophical, natural-science and historical problems.”

Marx and Engels first became aware of Professor Dühring with his December 1867 review of Capital, published in Ergänzungsblätter. They exchanged a series of letters about him from January-March 1868.

He was largely forgotten until the mid-1870s, at which time Dühring entered Germany's political foreground. German Social-Democrats were influenced by both his Kritische Geschichte der Nationalökonomie und des Sozialismus and Cursus der Philosophie als streng wissenschaftlicher Weltanschauung und Lebensgestaltung. Among his readers were included Johann Most, Friedrich Wilhelm Fritzsche, Eduard Bernstein — and even August Bebel for a brief period.

In March 1874, the Social-Democratic Workers’ Party paper Volksstaat ran an anonymous article (actually penned by Bebel) favorably reviewing one of Dühring's books.

On both February 1 and April 21, 1875, Liebknecht encouraged Engels to take Dühring head-on in the pages of the Volksstaat. In February 1876, Engels fired an opening salvo with his Volksstaat article “Prussian Vodka in the German Reichstag”.

On May 24, 1876, Engels wrote Marx, saying there was cause to initiate a campaign against the spread of Dühring’s views. Marx replied the next day, saying Dühring himself should be sharply criticised. So Engels put aside his work on what would later become known as the book Dialectics of Nature. On May 28, he outlined to Marx the general strategy he planned to take against Dühring. It would take over two years to complete.

The book breaks into three distinct parts:

Part I: Philosophy — Written mainly between September 1876 and January 1877. Published as a series of articles entitled Herrn Eugen Dühring's Umwälzung der Philosophie in Vorwärts between January and May 1877. Later, beginning in 1878, with the first separate edition, the first two chapters of this part were made into an independent general introduction to all three parts.

Part II: Political Economy — Written mainly between June and August 1877. (The last chapter was actually written by Marx.) Published under the title Herrn Eugen Dühring's Umwälzung der politischen Oekonomie in Wissenschaftliche Beilage and in the supplement to Vorwärts between July and December 1877.

Part III: Socialism — Written mainly between August 1877 and April 1878. Published as Herrn Eugen Dühring's Umwälzung des Sozialismus in the supplement to Vorwärts between May and July 1878.

The Vorwärts serials elicited objections from Dühring's loyal adherents: during the May 27 1877 congress of the Socialist Workers' Party of Germany, they attempted to ban the on-going publication of it in the Party paper. Indeed, the sporadic delays in publication were largely due to their efforts.

In July 1877, Part I was published as a pamphlet. In July 1878, Parts II and III were combined into a second pamphlet.

In early July 1878, the complete work was first published as a book — with an added preface by Engels. In October 1878, Germany’s Anti-Socialist Law was instituted and Anti-Dühring was banned along with Engels’ other works. In 1886, a second edition appeared in Zurich. The third, revised and supplemented edition was published in Stuttgart, in 1894, i.e., after the Anti-Socialist Law was repealed (1890). This was the last edition during Engels' lifetime. It was translated into English for the first time in 1907, in Chicago.

In 1880, at Paul Lafargue's request, Engels took three chapters of Anti-Dühring and created one would become one of the most popular socialist pamphlets in the world: Socialism: Utopian and Scientific.

Prefaces

See: Anti-Dühring/Prefaces

Introduction

General

Modern socialism is, in its essence, the direct product of the recognition, on the one hand, of the class antagonisms existing in the society of today between proprietors and non-proprietors, between capitalists and wage-workers; on the other hand, of the anarchy existing in production. But, in its theoretical form, modern socialism originally appears ostensibly as a more logical extension of the principles laid down by the great French philosophers of the eighteenth century. Like every new theory, modern socialism had, at first, to connect itself with the intellectual stock-in-trade ready to its hand, however deeply its roots lay in economic facts.

The great men, who in France prepared men's minds for the coming revolution, were themselves extreme revolutionists. They recognised no external authority of any kind whatever. Religion, natural science, society, political institutions — everything was subjected to the most unsparing criticism; everything must justify its existence before the judgment-seat of reason or give up existence. Reason became the sole measure of everything. It was the time when, as Hegel says, the world stood upon its head; first in the sense that the human head, and the principles arrived at by its thought, claimed to be the basis of all human action and association; but by and by, also, in the wider sense that the reality which was in contradiction to these principles had, in fact, to be turned upside down. Every form of society and government then existing, every old traditional notion was flung into the lumber room as irrational; the world had hitherto allowed itself to be led solely by prejudices; everything in the past deserved only pity and contempt. Now, for the first time, appeared the light of day, henceforth superstition, injustice, privilege, oppression, were to be superseded by eternal truth, eternal Right, equality based on nature and the inalienable rights of man.

We know today that this kingdom of reason was nothing more than the idealised kingdom of the bourgeoisie; that this eternal Right found its realisation in bourgeois justice; that this equality reduced itself to bourgeois equality before the law; that bourgeois property was proclaimed as one of the essential rights of man; and that the government of reason, the Contrat Social of Rousseau, [21] came into being, and only could come into being, as a democratic bourgeois republic. The great thinkers of the eighteenth century could, no more than their predecessors, go beyond the limits imposed upon them by their epoch.

But, side by side with the antagonism of the feudal nobility and the burghers, was the general antagonism of exploiters and exploited, of rich idlers and poor workers. It was this very circumstance that made it possible for the representatives of the bourgeoisie to put themselves forward as representing not one special class, but the whole of suffering humanity. Still further. From its origin the bourgeoisie was saddled with its antithesis: capitalists cannot exist without wage-workers, and, in the same proportion as the mediaeval burgher of the guild developed into the modern bourgeois, the guild journeyman and the day-labourer, outside the guilds, developed into the proletarian. And although, upon the whole, the bourgeoisie, in their struggle with the nobility, could claim to represent at the same time the interests of the different working classes of that period, yet in every great bourgeois movement there were independent outbursts of that class which was the forerunner, more or less developed, of the modern proletariat. For example, at the time of the German Reformation and the Peasant War, Thomas Münzer; in the great English Revolution, the Levellers [22]; in the great French Revolution, Babeuf. There were theoretical enunciations corresponding with these revolutionary uprisings of a class not yet developed; in the sixteenth and seventeenth centuries utopian pictures of ideal social conditions [23]; in the eighteenth, actual communistic theories (Morelly and Mably). The demand for equality was no longer limited to political rights; it was extended also to the social conditions of individuals. It was not simply class privileges that were to be abolished, but class distinctions themselves. A communism, ascetic, Spartan, was the first form of the new teaching. Then came the three great utopians: Saint-Simon, to whom the middle-class movement, side by side with the proletarian, still had a certain significance; Fourier, and Owen, who in the country where capitalist production was most developed, and under the influence of the antagonisms begotten of this, worked out his proposals for the removal of class distinctions systematically and in direct relation to French materialism. One thing is common to all three. Not one of them appears as a representative of the interests of that proletariat which historical development had, in the meantime, produced. Like the French philosophers, they do not claim to emancipate a particular class, but all humanity. Like them, they wish to bring in the kingdom of reason and eternal justice, but this kingdom, as they see it, is as far as heaven from earth, from that of the French philosophers. For the bourgeois world, based upon the principles of these philosophers, is quite as irrational and unjust, and, therefore, finds its way to the dust-hole quite as readily as feudalism and all the earlier stages of society. If pure reason and justice have not, hitherto, ruled the world, this has been the case only because men have not rightly understood them. What was wanted was the individual man of genius, who has now arisen and who understands the truth. That he has now arisen, that the truth has now been clearly understood, is not an inevitable event, following of necessity in the chain of historical development, but a mere happy accident. He might just as well have been born 500 years earlier, and might then have spared humanity 500 years of error, strife, and suffering. This mode of outlook is essentially that of all English and French and of the first German socialists, including Weitling. Socialism is the expression of absolute truth, reason and justice and has only to be discovered to conquer all the world by virtue of its own power. And as absolute truth is independent of time, space, and of the historical development of man,. it is a mere accident when and where it is discovered. With all this, absolute truth, reason, and justice are different with the founder of each different school. And as each one's special kind of absolute truth, reason, and justice is again conditioned by his subjective understanding, his conditions of existence, the measure of his knowledge and his intellectual training, there is no other ending possible in this conflict of absolute truths than that they shall be mutually exclusive one of the other. Hence, from this nothing could come but a kind of eclectic, average socialism, which, as a matter of fact, has up to the present time dominated the minds of most of the socialist workers in France and England. Hence, a mish-mash allowing of the most manifold shades of opinion; a mish-mash of less striking critical statements, economic theories pictures of future society by the founders of different sects, a mish-mash which is the more easily brewed the more the definite sharp edges of the individual constituents are rubbed down in the stream of debate, like rounded pebbles in a brook. To make a science of socialism, it had first to be placed upon a real basis. In the meantime, along with and after the French philosophy of the eighteenth century had arisen the new German philosophy, culminating in Hegel. Its greatest merit was the taking up again of dialectics as the highest form of reasoning. The old Greek philosophers were all born natural dialecticians, and Aristotle, the most encyclopaedic intellect of them, had already analysed the most essential forms of dialectic thought. The newer philosophy on the other hand, although in it also dialectics had brilliant exponents (e.g., Descartes and Spinoza), had, especially through English influence, become more and more rigidly fixed in the so-called metaphysical mode of reasoning, by which also the French of the eighteenth century were almost wholly dominated at all events in their special philosophical work. Outside philosophy in the restricted sense, the French nevertheless produced masterpieces of dialectic. We need only call to mind Diderot's Le neveu de Rameau [24] and Rousseau's Discours sur l'origine et les fondemens de l'inégalité parmi les hommes. We give here, in brief, the essential character of these two modes of thought. We shall have to return to them later in greater detail. When we consider and reflect upon nature at large or the history of mankind or our own intellectual activity, at first we see the picture of an endless entanglement of relations and reactions in which nothing remains what, where and as it was, but everything moves, changes, comes into being and passes away. This primitive, naive but intrinsically correct conception of the world is that of ancient Greek philosophy, and was first clearly formulated by Heraclitus: everything is and is not, for everything is fluid, is constantly changing, constantly coming into being and passing away. But this conception, correctly as it expresses the general character of the picture of appearances as a whole, does not suffice to explain the details of which this picture is made up, and so long as we do not understand these, we have not a clear idea of the whole picture. In order to understand these details we must detach them from their natural or historical connection and examine each one separately, its nature, special causes, effects, etc. This is, primarily, the task of natural science and historical research: branches of science which the Greeks of classical times on very good grounds, relegated to a subordinate position, because they had first of all to collect the material. The beginnings of the exact natural sciences were first worked out by the Greeks of the Alexandrian period, [25] and later on, in the Middle Ages, by the Arabs. Real natural science dates from the second half of the fifteenth century, and thence onward it has advanced with constantly increasing rapidity. The analysis of nature into its individual parts, the grouping of the different natural processes and objects in definite classes, the study of the internal anatomy of organic bodies in their manifold forms — these were the fundamental conditions of the gigantic strides in our knowledge of nature that have been made during the last four hundred years. But this method of work has also left us as legacy the habit of observing natural objects and processes in isolation, apart from their connection with the vast whole; of observing them in repose, not in motion; as constants, not as essentially variables, in their death, not in their life. And when this way of looking at things was transferred by Bacon and Locke from natural science to philosophy, it begot the narrow, metaphysical mode of thought peculiar to the preceding centuries. To the metaphysician, things and their mental reflexes, ideas, are isolated, are to be considered one after the other and apart from each other, are objects of investigation fixed, rigid, given once for all. He thinks in absolutely irreconcilable antitheses. "His communication is 'yea, yea; nay, nay'; for whatsoever is more than these cometh of evil." [Matthew 5:37. — Ed.] For him a thing either exists or does not exist; a thing cannot at the same time be itself and something else. Positive and negative absolutely exclude one another, cause and effect stand in a rigid antithesis one to the other. At first sight this mode of thinking seems to us very luminous, because it is that of so-called sound common sense. Only sound common sense, respectable fellow that he is, in the homely realm of his own four walls, has very wonderful adventures directly he ventures out into the wide world of research. And the metaphysical mode of thought, justifiable and even necessary as it is in a number of domains whose extent varies according to the nature of the particular object of investigation, sooner or later reaches a limit, beyond which it becomes one-sided, restricted, abstract, lost in insoluble contradictions. In the contemplation of individual things it forgets the connection between them; in the contemplation of their existence, it forgets the beginning and end of that existence; of their repose, it forgets their motion. It cannot see the wood for the trees. For everyday purposes we know and can say, e.g., whether an animal is alive or not. But, upon closer inquiry, we find that this is, in many cases, a very complex question, as the jurists know very well. They have cudgelled their brains in vain to discover a rational limit beyond which the killing of the child in its mother's womb is murder. It is just as impossible to determine absolutely the moment of death, for physiology proves that death is not an instantaneous momentary phenomenon, but a very protracted process. In like manner, every organic being is every moment the same and not the same, every moment it assimilates matter supplied from without, and gets rid of other matter; every moment some cells of its body die and others build themselves anew; in a longer or shorter time the matter of its body is completely renewed, and is replaced by other atoms of matter, so that every organic being is always itself, and yet something other than itself. Further, we find upon closer investigation that the two poles of an antithesis positive and negative, e.g., are as inseparable as they are opposed and that despite all their opposition, they mutually interpenetrate. And we find, in like manner, that cause and effect are conceptions which only hold good in their application to individual cases; but as soon as we consider the individual cases in their general connection with the universe as a whole, they run into each other, and they become confounded when we contemplate that universal action and reaction in which causes and effects are eternally changing places, so that what is effect here and now will be cause there and then, and vice versa. None of these processes and modes of thought enters into the framework of metaphysical reasoning. Dialectics, on the other hand, comprehends things and their representations, ideas, in their essential connection, concatenation, motion, origin, and ending. Such processes as those mentioned above are, therefore, so many corroborations of its own method of procedure. Nature is the proof of dialectics, and it must be said for modern science that it has furnished this proof with very rich materials increasing daily, and thus has shown that, in the last resort, nature works dialectically and not metaphysically. But the naturalists who have learned to think dialectically are few and far between, and this conflict of the results of discovery with preconceived modes of thinking explains the endless confusion now reigning in theoretical natural science, the despair of teachers as well as learners, of authors and readers alike. An exact representation of the universe, of its evolution, of the development of mankind, and of the reflection of this evolution in the minds of men, can therefore only be obtained by the methods of dialectics with its constant regard to the innumerable actions and reactions of life and death, of progressive or retrogressive changes. And in this spirit the new German philosophy has worked. Kant began his career by resolving the stable solar system of Newton and its eternal duration, after the famous initial impulse had once been given, into the result of a historic process, the formation of the sun and all the planets out of a rotating nebulous mass. From this he at the same time drew the conclusion that, given this origin of the solar system, its future death followed of necessity. His theory half a century later was established mathematically by Laplace, and half a century after that the spectroscope proved the existence in space of such incandescent masses of gas in various stages of condensation. [26] This new German philosophy culminated in the Hegelian system. In this system — and herein is its great merit — for the first time the whole world, natural, historical, intellectual, is represented as a process, i.e., as in constant motion, change transformation, development; and the attempt is made to trace out the internal connection that makes a continuous whole of all this movement and development. From this point of view the history of mankind no longer appeared as a wild whirl of senseless deeds of violence, all equally condemnable at the judgment-seat of mature philosophic reason and which are best forgotten as quickly as possible, but as the process of evolution of man himself. It was now the task of the intellect to follow the gradual march of this process through all its devious ways, and to trace out the inner law running through all its apparently accidental phenomena. That Hegel did not solve the problem is here immaterial. His epoch-making merit was that he propounded the problem. This problem is one that no single individual will ever be able to solve. Although Hegel was — with Saint-Simon — the most encyclopaedic mind of his time, yet he was limited, first, by the necessarily limited extent of his own knowledge and, second, by the limited extent and depth of the knowledge and conceptions of his age. To these limits a third must be added. Hegel was an idealist. To him the thoughts within his brain were not the more or less abstract pictures of actual things and processes, but, conversely, things and their evolution were only the realised pictures of the "Idea", existing somewhere from eternity before the world was. This way of thinking turned everything upside down, and completely reversed the actual connection of things in the world. Correctly and ingeniously as many individual groups of facts were grasped by Hegel, yet, for the reasons just given, there is much that is botched, artificial, laboured, in a word, wrong in point of detail. The Hegelian system, in itself, was a colossal miscarriage — but it was also the last of its kind. It was suffering, in fact, from an internal and incurable contradiction. Upon the one hand, its essential proposition was the conception that human history is a process of evolution, which, by its very nature, cannot find its intellectual final term in the discovery of any so-called absolute truth. But, on the other hand, it laid claim to being the very essence of this absolute truth. A system of natural and historical knowledge, embracing everything, and final for all time, is a contradiction to the fundamental laws of dialectic reasoning. This law, indeed, by no means excludes, but, on the contrary, includes the idea that the systematic knowledge of the external universe can make giant strides from age to age. The perception of the fundamental contradiction in German idealism led necessarily back to materialism, but, nota bene, not to the simply metaphysical, exclusively mechanical materialism of the eighteenth century. In contrast to the naively revolutionary, simple rejection of all previous history, modern materialism sees in the latter the process of evolution of humanity, it being its task to discover the laws of motion thereof. With the French of the eighteenth century, and with Hegel, the conception obtained of nature as a whole, moving in narrow circles, and forever immutable, with its eternal celestial bodies, as Newton, and unalterable organic species, as Linnaeus, taught. Modern materialism embraces the more recent discoveries of natural science, according to which nature also has its history in time, the celestial bodies, like the organic species that, under favourable conditions, people them, being born and perishing. And even if nature, as a whole, must still be said to move in recurrent cycles, these cycles assume infinitely larger dimensions. In both cases modern materialism is essentially dialectic, and no longer needs any philosophy standing above the other sciences. As soon as each special science is bound to make clear its position in the great totality of things and of our knowledge of things, a special science dealing with this totality is superfluous. That which still survives, independently, of all earlier philosophy is the science of thought and its laws — formal logic and dialectics. Everything else is subsumed in the positive science of nature and history. Whilst, however, the revolution in the conception of nature could only be made in proportion to the corresponding positive materials furnished by research, already much earlier certain historical facts had occurred which led to a decisive change in the conception of history. In 1831, the first working-class rising took place in Lyons; between 1838 and 1842, the first national working-class movement, that of the English Chartists, reached its height. The class struggle between proletariat and bourgeoisie came to the front in the history of the most advanced countries in Europe, in proportion to the development, upon the one hand, of modern industry [grosse Industrie], upon the other, of the newly-acquired political supremacy of the bourgeoisie. Facts more and more strenuously gave the lie to the teachings of bourgeois economy as to the identity of the interests of capital and labour, as to the universal harmony and universal prosperity that would be the consequence of unbridled competition. All these things could no longer be ignored, any more than the French and English socialism, which was their theoretical, though very imperfect, expression. But the old idealist conception of history, which was not yet dislodged knew nothing of class struggles based upon economic interests, knew nothing of economic interests; production and all economic relations appeared in it only as incidental, subordinate elements in the "history of civilisation". The new facts made imperative a new examination of all past history. Then it was seen that all past history was the history of class struggles [27]; that these warring classes of society are always the products of the modes of production and of exchange — in a word, of the economic conditions of their time; that the economic structure of society always furnishes the real basis, starting from which we can alone work out the ultimate explanation of the whole superstructure of juridical and political institutions as well as of the religious, philosophical, and other ideas of a given historical period. But now idealism was driven from its last refuge, the philosophy of history; now a materialistic treatment of history was propounded, and a method found of explaining man's "knowing" by his "being", instead of, as heretofore, his "being" by his "knowing".

But the socialism of earlier days was as incompatible with this materialistic conception as the conception of nature of the French materialists was with dialectics and modern natural science. The socialism of earlier days certainly criticised the existing capitalistic mode of production and its consequences. But it could not explain them, and, therefore, could not get the mastery of them. It could only simply reject them as bad. But for this it was necessary (1) to present the capitalistic method of production in its historical connection and its inevitableness during a particular historical period, and therefore, also, to present its inevitable downfall; and (2) to lay bare its essential character, which was still a secret, as its critics had hitherto attacked its evil consequences rather than the process of the thing itself. This was done by the discovery of surplus-value. It was shown that the appropriation of unpaid labour is the basis of the capitalist mode of production and of the exploitation of the worker that occurs under it, that even if the capitalist buys the labour-power of his labourer at its full value as a commodity on the market, he yet extracts more value from it than he paid for; and that in the ultimate analysis this surplus-value forms those sums of value from which are heaped up the constantly increasing masses of capital in the hands of the possessing classes. The genesis of capitalist production and the production of capital were both explained.

These two great discoveries, the materialistic conception of history and the revelation of the secret of capitalistic production through surplus-value, we owe to Marx. With these discoveries socialism became a science. The next thing was to work out all its details and relations.

This, approximately, was how things stood in the fields of theoretical socialism and extinct philosophy, when Herr Eugen Dühring, not without considerable din, sprang on to the stage and announced that he had accomplished a complete revolution in philosophy, political economy and socialism.

Let us see what Herr Dühring promises us and how he fulfills his promises.

What Herr Dühring promises

The writings of Herr Dühring with which we are here primarily concerned are his Kursus der Philosophie, his Kursus der National- und Sozialökonomie, and his Kritische Geschichte der Nationalökonomie und des Sozialismus. [28] The first-named work is the one which particularly claims our attention here. On the very first page Herr Dühring introduces himself as

“the man who claims to represent this power” (philosophy) “in his age and for its immediately foreseeable development” {D. Ph. 1}.

He thus proclaims himself to be the only true philosopher of today and of the “foreseeable” future. Whoever departs from him departs from truth. Many people, even before Herr Dühring, have thought something of this kind about themselves, but — except for Richard Wagner — he is probably the first who has calmly blurted it out. And the truth to which he refers is

“a final and ultimate truth” {2}.

Herr Dühring's philosophy is

“the natural system or the philosophy of reality... In it reality is so conceived as to exclude any tendency to a visionary and subjectively limited conception of the world” {13}

This philosophy is therefore of such a nature that it lifts Herr Dühring above the limits he himself can hardly deny of his personal, subjective limitations. And this is in fact necessary if he is to be in a position to lay down final and ultimate truths, although so far we do not see how this miracle should come to pass.

This “natural system of knowledge which in itself is of value to the mind" {508} has, "without the slightest detraction from the profundity of thought, securely established the basic forms of being” {556-57}. From its “really critical standpoint” {404} it provides “the elements of a philosophy which is real and therefore directed to the reality of nature and of life, a philosophy which cannot allow the validity of any merely apparent horizon, but in its powerfully revolutionising movement unfolds all earths and heavens of outer and inner nature” {430}. It is a “new mode of thought” {543}, and its results are “from the ground up original conclusions and views ... system-creating ideas {525} ... established truths” {527}. In it we have before us “a work which must find its strength in concentrated initiative” {38} — whatever that may mean; an “investigation going to the roots {200} ... a deep-rooted science {219} ... a strictly scientific conception of things and men {387} ... an all-round penetrating work of thought {D. C. III} ... a creative evolving of premises and conclusions controllable by thought {6} ... the absolutely fundamental” {150}.

In the economic and political sphere he gives us not only

“historical and systematically comprehensive works” {532}, of which the historical ones are, to boot, notable for “my historical depiction in the grand style” {D. K. G. 556}, while those dealing with political economy have brought about “creative turns” {462},

but he even finishes with a fully worked-out socialist plan of his own for the society of the future, a plan which is the

"practical fruit of a clear theory going to the ultimate roots of things" {D. C. 555-56}

and, like the Dühring philosophy, is consequently infallible and offers the only way to salvation; for

“only in that socialist structure which I have sketched in my Cursus der National- und Socialökonomie can a true Own take the place of ownership which is merely apparent and transitory or even based on violence” {D. Ph. 242}. And the future has to follow these directions.

This bouquet of glorifications of Herr Dühring by Herr Dühring could easily be enlarged tenfold. It may already have created some doubt in the mind of the reader as to whether it is really a philosopher with whom he is dealing, or a — but we must beg the reader to reserve judgment until he has got to know the above-mentioned “deep-rootedness” at closer quarters. We have given the above anthology only for the purpose of showing that we have before us not any ordinary philosopher and socialist, who merely expresses his ideas and leaves it to the future to judge their worth, but quite an extraordinary creature, who claims to be not less infallible than the Pope, and whose doctrine is the only way to salvation and simply must be accepted by anyone who does not want to fall into the most abominable heresy. What we are here confronted with is certainly not one of those works in which all socialist literature, recently also German, has abounded — works in which people of various calibres, in the most straightforward way in the world, try to clear up in their minds problems for the solution of which they may be more or less short of material; works in which, whatever their scientific and literary shortcomings, the socialist good will is always deserving of recognition. On the contrary, Herr Dühring offers us principles which he declares are final and ultimate truths and therefore any views conflicting with these are false from the outset; he is in possession not only of the exclusive truth but also of the sole strictly scientific method of investigation, in contrast with which all others are unscientific. Either he is right — and in this case we have before us the greatest genius of all time, the first superhuman, because infallible, man. Or he is wrong, and in that case, whatever our judgment may be, benevolent consideration shown for any good intentions he may possibly have had would nevertheless be the most deadly insult to Herr Dühring. When a man is in possession of the final and ultimate truth and of the only strictly scientific method, it is only natural that he should have a certain contempt for the rest of erring and unscientific humanity. We must therefore not be surprised that Herr Dühring should speak of his predecessors with extreme disdain, and that there are only a few great men, thus styled by way of exception by himself, who find mercy at the bar of his "deep-rootedness". Let us hear first what he has to say about the philosophers:

“Leibniz, devoid of any nobler sentiments ... that best of all court-philosophisers” {D. Ph. 346}.

Kant is still just about tolerated; but after him everything got into a muddle {197}:

there followed the “wild ravings and equally childish and windy stupidities of the immediately succeeding epigoni, namely, a Fichte and a Schelling {227} ... monstrous caricatures of ignorant natural philosophising {56} ... the post-Kantian monstrosities” and “the delirious fantasies” {449} crowned by “a Hegel” {197}. The last-named used a “Hegel jargon” {D. K. C. 491} and spread the “Hegel pestilence” {D. Ph. 486} by means of his “moreover even in form unscientific demeanour” and his “crudities” {D. K. G. 235}.

The natural scientists fare no better, but as only Darwin is cited by name we must confine ourselves to him:

“Darwinian semi-poetry and dexterity in metamorphosis, with their coarsely sentient narrowness of comprehension and blunted power of differentiation {D. Ph. 142} ... In our view what is specific to Darwinism, from which of course the Lamarckian formulations must be excluded, is a piece of brutality directed against humanity.” {117}.

But the socialists come off worst of all. With the exception at any rate of Louis Blanc — the most insignificant of them all — they are all and sundry sinners and fall short of the reputation which they should have before (or behind) Herr Dühring. And not only in regard to truth and scientific method — no, also in regard to their character. Except for Babeuf and a few Communards of 1871 none of them are "men" {D. K. G. 239}. The three utopians are called “social alchemists” {237}. As to them, a certain indulgence is shown to Saint-Simon, in so far as he is merely charged with “exaltation of mind” {252}, and there is a compassionate suggestion that he suffered from religious mania. With Fourier, however, Herr Dühring completely loses patience. For Fourier

“revealed every element of insanity ... ideas which one would normally have most expected to find in madhouses {276} ... the wildest dreams ... products of delirium...” {283}. “The unspeakably silly Fourier” {222}, this “infantile mind” {284}, this “idiot” {286}, is withal not even a socialist; his phalanstery [29] is absolutely not a piece of rational socialism, but “a caricature constructed on the pattern of everyday commerce” {283}.

And finally:

“Anyone who does not find those effusions” (of Fourier's, concerning Newton) “... sufficient to convince himself that in Fourier's name and in the whole of Fourierism it is only the first syllable” (fou — crazy) “that has any truth in it, should himself be classed under some category of idiots” {286}.

Finally, Robert Owen

“had feeble and paltry ideas {295} ... his reasoning, so crude in ethics {296} ... a few commonplaces which degenerated into perversions ... nonsensical and crude way of looking at things {297} ... the course of Owen’s ideas is hardly worth subjecting to more serious criticism {298} ... his vanity” {299-300} — and so on.

With extreme wit Herr Dühring characterises the utopians by reference to their names, as follows: Saint-Simon — saint (holy), Fourier — fou (crazy), Enfantin — enfant (childish) {303}; he only needs to add: Owen — o woe! and a very important period in the history of socialism has in four words been roundly condemned; and anyone who has any doubts about it “should himself be classed under some category of idiots”. As for Dühring's opinion of the later socialists, we shall, for the sake of brevity, cite him only on Lassalle and Marx:

Lassalle: “Pedantic, hair-splitting efforts to popularise ... rampant scholasticism ... a monstrous hash of general theories and paltry trash {509} ... Hegel-superstition, senseless and formless ... a horrifying example {511} ... peculiarly limited {513} ... pompous display of the most paltry trifles {514} ... our Jewish hero {515} ... pamphleteer {519} ... common {520} ... inherent instability in his view of life and of the world” {529}. Marx: “Narrowness of conception ... his works and achievements in and by themselves, that is, regarded from a purely theoretical standpoint, are without any permanent significance in our domain” (the critical history of socialism), “and in the general history of intellectual tendencies they are to be cited at most as symptoms of the influence of one branch of modern sectarian scholastics {D. K. G. 495} ... impotence of the faculties of concentration and systematisation ... deformity of thought and style, undignified affectation of language ... anglicised vanity ... duping {497} ... barren conceptions which in fact are only bastards of historical and logical fantasy ... deceptive twisting {498} ... personal vanity {499} ... vile mannerisms ... snotty ... buffoonery pretending to be witty ... Chinese erudition {506} ... philosophical and scientific backwardness” {507}.

And so on, and so forth — for this is only a small superficially culled bouquet out of the Dühring rose garden. It must be understood that, at the moment, we are not in the least concerned whether these amiable expressions of abuse — which, if he had any education, should forbid Herr Dühring from finding anything vile and snotty — are also final and ultimate truths. And — for the moment — we will guard against voicing any doubt as to their deep-rootedness, as we might otherwise be prohibited even from trying to find the category of idiots to which we belong. We only thought it was our duty to give, on the one hand, an example of what Herr Dühring calls

“the select language of the considerate and, in the real sense of the word, moderate mode of expression” {D. Ph. 260},

and on the other hand, to make it clear that to Herr Dühring the worthlessness of his predecessors is a no less established fact than his own infallibility. Whereupon we sink to the ground in deepest reverence before the mightiest genius of all time — if that is how things really stand.

I. Philosophy

Classification, apriorism

Philosophy, according to Herr Dühring, is the development of the highest form of consciousness of the world and of life {D. Ph. 2},and in a wider sense embraces the principles of all knowledge and volition. Wherever a series of cognitions or stimuli or a group of forms of being come to be examined by human consciousness, the principles underlying these manifestations of necessity become an object of philosophy. These principles are the simple, or until now assumed to be simple, constituents of manifold knowledge and volition {8}. Like the chemical composition of bodies, the general constitution of things can be reduced to basic forms and basic elements. These ultimate constituents or principles, once they have been discovered, are valid not only for what is immediately known and accessible, but also for the world which is unknown and inaccessible to us. Philosophical principles consequently provide the final supplement required by the sciences in order to become a uniform system by which nature and human life can be explained {9}. Apart from the fundamental forms of all existence, philosophy has only two specific subjects of investigation — nature and the world of man {14}. Accordingly, our material arranges itself quite naturally into three groups, namely, the general scheme of the universe, the science of the principles of nature, and finally the science of mankind. This succession at the same time contains an inner logical sequence, for the formal principles which are valid for all being take precedence, and the realms of the objects to which they are to be applied then follow in the degree of their subordination {15}.

So far Herr Dühring, and almost entirely word for word. What he is dealing with are therefore principles, formal tenets derived from thought and not from the external world, which are to be applied to nature and the realm of man, and to which therefore nature and man have to conform. But whence does thought obtain these principles? From itself? No, for Herr Dühring himself says: the realm of pure thought is limited to logical schemata and mathematical forms {42} (the latter, moreover, as we shall see, is wrong). Logical schemata can only relate to forms of thought; but what we are dealing with here is solely forms of being, of the external world, and these forms can never be created and derived by thought out of itself, but only from the external world. But with this the whole relationship is inverted: the principles are not the starting-point of the investigation, but its final result; they are not applied to nature and human history, but abstracted from them, it is not nature and the realm of man which conform to these principles, but the principles are only valid in so far as they are in conformity with nature and history. That is the only materialist conception of the matter, and Herr Dühring's contrary conception is idealistic, makes things stand completely on their heads, and fashions the real world out of ideas, out of schemata, schemes or categories existing somewhere before the world, from eternity — just like a Hegel. In fact, let us compare Hegel’s Encyclopaedia [30] and all its delirious fantasies with Herr Dühring’s final and ultimate truths. With Herr Dühring we have in the first place general world schematism, which Hegel calls Logic. Then with both of them we have the application of these schemata or logical categories to nature: the philosophy of nature; and finally their application to the realm of man, which Hegel calls the philosophy of mind. The “inner logical sequence” of the Dühring succession therefore leads us “quite naturally” {D. Ph. 15} back to Hegel’s Encyclopaedia, from which it has been taken with a loyalty which would move that wandering Jew of the Hegelian school, Professor Michelet of Berlin, to tears. [31] That is what comes of accepting “consciousness”, “thought”, quite naturalistically, as something given, something opposed from the outset to being, to nature. If that were so, it must seem extremely strange that consciousness and nature, thinking and being, the laws of thought and the laws of nature, should correspond so closely. But if the further question is raised what thought and consciousness really are and where they come from, it becomes apparent that they are products of the human brain and that man himself is a product of nature, which has developed in and along with its environment; hence it is self-evident that the products of the human brain, being in the last analysis also products of nature, do not contradict the rest of nature's interconnections but are in correspondence with them. [32] But Herr Dühring cannot permit himself such a simple treatment of the subject. He thinks not only in the name of humanity — in itself no small achievement — but in the name of the conscious and reasoning beings on all celestial bodies. Indeed, it would be

“a degradation of the basic forms of consciousness and knowledge to attempt to rule out or even to put under suspicion their sovereign validity and their unconditional claim to truth, by applying the epithet ‘human’ to them” {2}.

Hence, in order that no suspicion may arise that on some celestial body or other twice two makes five {30-31}, Herr Dühring dare not designate thought as being human, and so he has to sever it from the only real foundation on which we find it, namely, man and nature; and with that he tumbles hopelessly into an ideology [33] which reveals him as the epigone of the “epigone” Hegel {197}. By the way, we shall often meet Herr Dühring again on other celestial bodies. It goes without saying that no materialist doctrine can be founded on such an ideological basis. Later on we shall see that Herr Dühring is forced more than once to endow nature surreptitiously with conscious activity, with what in plain language is called God. However, our philosopher of reality had also other motives for shifting the basis of all reality from the real world to the world of thought. The science of this general world schematism, of these formal principles of being, is precisely the foundation of Herr Dühring's philosophy. If we deduce world schematism not from our minds, but only through our minds from the real world, if we deduce principles of being from what is, we need no philosophy for this purpose, but positive knowledge of the world and of what happens in it; and what this yields is also not philosophy, but positive science. In that case, however, Herr Dühring's whole volume would be nothing but love's labour lost. Further: if no philosophy as such is any longer required, then also there is no more need of any system, not even of any natural system of philosophy. The perception that all the processes of nature are systematically connected drives science on to prove this systematic connection throughout, both in general and in particular. But an adequate, exhaustive scientific exposition of this interconnection, the formation of an exact mental image of the world system in which we live, is impossible for us, and will always remain impossible. If at any time in the development of mankind such a final, conclusive system of the interconnections within the world — physical as well as mental and historical — were brought about, this would mean that human knowledge had reached its limit, and, from the moment when society had been brought into accord with that system, further historical development would be cut short — which would be an absurd idea, sheer nonsense. Mankind therefore finds itself faced with a contradiction: on the one hand, it has to gain an exhaustive knowledge of the world system in all its interrelations; and on the other hand, because of the nature both of men and of the world system, this task can never be completely fulfilled. But this contradiction lies not only in the nature of the two factors — the world, and man — it is also the main lever of all intellectual advance, and finds its solution continuously, day by day, in the endless progressive development of humanity, just as for example mathematical problems find their solution in an infinite series or continued fractions. Each mental image of the world system is and remains in actual fact limited, objectively by the historical conditions and subjectively by the physical and mental constitution of its originator. But Herr Dühring explains in advance that his mode of reasoning is such that it excludes any tendency to a subjectively limited conception of the world. We saw above that he was omnipresent — on all possible celestial bodies. We now see that he is also omniscient. He has solved the ultimate problems of science and thus nailed boards across the future of all science. As with the basic forms of being, so also with the whole of pure mathematics: Herr Dühring thinks that he can produce it a priori that is, without making use of the experience offered us by the external world, can construct it in his head.

In pure mathematics the mind deals “with its own free creations and imaginations” {D. Ph. 43}; the concepts of number and figure are “the adequate object of that pure science which it can create of itself” {42}, and hence it has a “validity which is independent of particular experience and of the real content of the world” {43}.

That pure mathematics has a validity which is independent of the particular experience of each individual is, for that matter, correct, and this is true of all established facts in every science, and indeed of all facts whatsoever. The magnetic poles, the fact that water is composed of hydrogen and oxygen, the fact that Hegel is dead and Herr Dühring alive, hold good independently of my own experience or that of any other individual, and even independently of Herr Dühring’s experience, when he begins to sleep the sleep of the just. But it is not at all true that in pure mathematics the mind deals only with its own creations and imaginations. The concepts of number and figure have not been derived from any source other than the world of reality. The ten fingers on which men learnt to count, that is, to perform the first arithmetical operation, are anything but a free creation of the mind. Counting requires not only objects that can be counted, but also the ability to exclude all properties of the objects considered except their number — and this ability is the product of a long historical development based on experience. Like the idea of number, so the idea of figure is borrowed exclusively from the external world, and does not arise in the mind out of pure thought. There must have been things which had shape and whose shapes were compared before anyone could arrive at the idea of figure. Pure mathematics deals with the space forms and quantity relations of the real world — that is, with material which is very real indeed. The fact that this material appears in an extremely abstract form can only superficially conceal its origin from the external world. But in order to make it possible to investigate these forms and relations in their pure state, it is necessary to separate them entirely from their content, to put the content aside as irrelevant; thus we get points without dimensions, lines without breadth and thickness, a and b and x and y, constants and variables; and only at the very end do we reach the free creations and imaginations of the mind itself, that is to say, imaginary magnitudes. Even the apparent derivation of mathematical magnitudes from each other does not prove their a priori origin, but only their rational connection. Before one came upon the idea of deducing the form of a cylinder from the rotation of a rectangle about one of its sides, a number of real rectangles and cylinders, however imperfect in form, must have been examined. Like all other sciences, mathematics arose out of the needs of men: from the measurement of land and the content of vessels, from the computation of time and from mechanics. But, as in every department of thought, at a certain stage of development the laws, which were abstracted from the real world, become divorced from the real world, and are set up against it as something independent, as laws coming from outside, to which the world has to conform. That is how things happened in society and in the state, and in this way, and not otherwise, pure mathematics was subsequently applied to the world, although it is borrowed from this same world and represents only one part of its forms of interconnection — and it is only just because of this that it can be applied at all. But just as Herr Dühring imagines that, out of the axioms of mathematics,

“which also in accordance with pure logic neither require nor are capable of substantiation” {34},

he can deduce the whole of pure mathematics without any kind of empirical admixture, and then apply it to the world, so he likewise imagines that he can, in the first place, produce out of his head the basic forms of being, the simple elements of all knowledge, the axioms of philosophy, deduce from these the whole of philosophy or world schematism, and then, by sovereign decree, impose this constitution of his on nature and humanity. Unfortunately nature is not at all, and humanity only to an infinitesimal degree, composed of the Manteuffelite Prussians of 1850. [34] Mathematical axioms are expressions of the scantiest thought-content, which mathematics is obliged to borrow from logic. They can be reduced to two: 1) The whole is greater than its part. This statement is pure tautology, as the quantitatively conceived idea “part” is from the outset definitely related to the idea “whole”, and in fact in such a way that “part” simply means that the quantitative “whole” consists of several quantitative “parts”. In stating this explicitly, the so-called axiom does not take us a step further. This tautology can even in a way be proved by saying: a whole is that which consists of several parts; a part is that of which several make a whole; hence the part is less than the whole — in which the inanity of repetition brings out even more clearly the inanity of content. 2) If two quantities are equal to a third, they are equal to each other. This statement, as Hegel has already shown, is a conclusion, the correctness of which is vouched for by logic, and which is therefore proved, although outside of pure mathematics. The remaining axioms relating to equality and inequality are merely logical extensions of this conclusion. These meagre principles do not cut much ice, either in mathematics or anywhere else. In order to get any further, we are obliged to bring in real relations, relations and space forms which are taken from real bodies. The ideas of lines, planes, angles, polygons, cubes, spheres, etc., are all taken from reality, and it requires a pretty good portion of naive ideology to believe the mathematicians that the first line came into existence through the movement of a point in space, the first plane through the movement of a line, the first solid through the movement of a plane, and so on. Even language rebels against such a conception. A mathematical figure of three dimensions is called a solid body, corpus solidum, hence, in Latin, even a tangible object; it therefore has a name derived from sturdy reality and by no means from the free imagination of the mind. But why all this prolixity? After Herr Dühring, on pages 42 and 43, [35] has enthusiastically sung the independence of pure mathematics from the world of experience, its apriority, its preoccupation with the mind’s own free creations and imaginations, he says on page 63:

“It is, of course, easily overlooked that those mathematical elements (number, magnitude, time, space and geometric motion) are ideal only in their form, ... absolute magnitudes are therefore something completely empirical, no matter to what species they belong”, ... but “mathematical schemata are capable of characterisation which is adequate even though divorced from experience.”

The last statement is more or less true of every abstraction, but does not by any means prove that it is not abstracted from reality. In world schematism pure mathematics arose out of pure thought — in the philosophy of nature it is something completely empirical, taken from the external world and then divorced from it. Which are we to believe?

World schematism

“All-embracing being is one. In its self-sufficiency it has nothing alongside it or over it. To associate a second being with it would be to make it something that it is not, namely, a part or constituent of a more comprehensive whole. Due to the fact that we extend our unified thought like a framework, nothing that should be comprised in this thought-unity can retain a duality within itself. Nor, again, can anything escape this thought-unity... The essence of all thought consists in bringing together the elements of consciousness into a unity {D. Ph. 16} ... It is the point of unity of the synthesis where the indivisible idea of the world came into being and the universe, as the name itself implies, is apprehended as something in which everything is united into unity” {17}.

Thus far Herr Dühring. This is the first application of the mathematical method:

“Every question is to be decided axiomatically in accordance with simple basic forms, as if we were dealing with the simple ... principles of mathematics” {224}.

“All-embracing being is one.” If tautology, the simple repetition in the predicate of what is already expressed in the subject — if that makes an axiom, then we have here one of the purest water. Herr Dühring tells us in the subject that being embraces everything, and in the predicate he intrepidly declares that in that case there is nothing outside it. What colossal “system-creating thought” {525}! This is indeed system-creating! Within the space of the next six lines Herr Dühring has transformed the oneness of being, by means of our unified thought, into its unit. As the essence of all thought consists in bringing things together into a unity, so being, as soon as it is conceived, is conceived as unified, and the idea of the world as indivisible; and because conceived being, the idea of the world, is unified, therefore real being, the real world, is also an indivisible unity. And with that

“there is no longer any room for things beyond, once the mind has learnt to conceive being in its homogeneous universality” {D. Ph. 523}.

That is a campaign which puts Austerlitz and Jena, Königgrätz and Sedan completely in the shade. [36] In a few sentences, hardly a page after we have mobilised the first axiom, we have already done away with, cast overboard, destroyed, everything beyond the world — God and the heavenly hosts, heaven, hell and purgatory, along with the immortality of the soul. How do we get from the oneness of being to its unity? By the very fact of conceiving it. In so far as we spread our unified thought around being like a frame, its oneness becomes a unity in thought, a thought-unity; for the essence of all thought consists in bringing together the elements of consciousness into a unity. This last statement is simply untrue. In the first place, thought consists just as much in the taking apart of objects of consciousness into their elements as in the putting together of related elements into a unity. Without analysis, no synthesis. Secondly, without making blunders thought can bring together into a unity only those elements of consciousness in which or in whose real prototypes this unity already existed before. If I include a shoe-brush in the unity mammals, this does not help it to get mammary glands. The unity of being, or rather, the question whether its conception as a unity is justified, is therefore precisely what was to be proved; and when Herr Dühring assures us that he conceives being as a unity and not as twofold, he tells us nothing more than his own unauthoritative opinion. If we try to state his process of thought in unalloyed form, we get the following: I begin with being. I therefore think what being is. The thought of being is a unified thought. But thinking and being must be in agreement, they are in conformity with each other, they “coincide”. Therefore being is a unity also in reality. Therefore there cannot be anything “beyond”. If Herr Dühring had spoken without disguise in this way, instead of treating us to the above oracular passages, his ideology would have been clearly visible. To attempt to prove the reality of any product of thought by the identity of thinking and being was indeed one of the most absurd delirious fantasies of — a Hegel. Even if his whole method of proof had been correct, Herr Dühring would still not have won an inch of ground from the spiritualists. The latter would reply briefly: to us, too, the universe is simple; the division into this world and the world beyond exists only for our specifically earthly, original-sin standpoint; in and for itself, that is, in God, all being is a unity. And they would accompany Herr Dühring to his other beloved celestial bodies and show him one or several on which there had been no original sin, where therefore no opposition exists between this world and the beyond, and where the unity of the universe is a dogma of faith. The most comical part of the business is that Herr Dühring, in order to prove the non-existence of God from the idea of being, uses the ontological proof for the existence of God. This runs: when we think of God, we conceive him as the sum total of all perfections. But the sum total of all perfections includes above all existence, since. a non-existent being is necessarily imperfect. We must therefore include existence among the perfections of God. Hence God must exist. Herr Dühring reasons in exactly the same way: when we think of being, we conceive it as one idea. Whatever is comprised in one idea is a unity. Being would not correspond to the idea of being if it were not a unity. Consequently it must be a unity. Consequently there is no God, and so on. When we speak of being, and purely of being, unity can only consist in that all the objects to which we are referring — are, exist. They are comprised in the unity of this being, and in no other unity, and the general dictum that they all are not only cannot give them any additional qualities, whether common or not, but provisionally excludes all such qualities from consideration. For as soon as we depart even a millimetre from the simple basic fact that being is common to all these things, the differences between these things begin to emerge — and whether these differences consist in the circumstance that some are white and others black, that some are animate and others inanimate, that some may be of this world and others of the world beyond, cannot be decided by us from the fact that mere existence is in equal manner ascribed to them all. The unity of the world does not consist in its being, although its being is a precondition of its unity, as it must certainly first be before it can be one. Being, indeed, is always an open question beyond the point where our sphere of observation ends. The real unity of the world consists in its materiality, and this is proved not by a few juggled phrases, but by a long and wearisome development of philosophy and natural science. To return to the text. The being which Herr Dühring is telling us about is

“not that pure, self-equal being which lacks all special determinants, and in fact represents only the counterpart of the idea of nothing or of the absence of idea” {D. Ph. 22}.

But we shall see very soon that Herr Dühring's universe really starts with a being which lacks all inner differentiation, all motion and change, and is therefore in fact only a counterpart of the idea of nothing, and therefore really nothing. Only out of this being-nothing develops the present differentiated, changing state of the universe, which represents a development, a becoming; and it is only after we have grasped this that we are able, even within this perpetual change, to

“maintain the conception of universal being in a self-equal state” {D. Ph. 23}.

We have now, therefore, the idea of being on a higher plane, where it includes within itself both inertness and change, being and becoming. Having reached this point, we find that

“genus and species, or the general and the particular, are the simplest means of differentiation, without which the constitution of things cannot be understood” {24}.

But these are means of differentiation of qualities; and after these have been dealt with, we proceed:

“in opposition to genus stands the concept of magnitude, as of a homogeneity in which no further differences of species exist” {26};

and so from quality we pass to quantity, and this is always “measurable” {26}. Let us now compare this “sharp division of the general effect-schemata” {D.C. 6} and its “really critical standpoint” {D. Ph. 404} with the crudities, wild ravings and delirious fantasies of a Hegel. We find that Hegel's logic starts from being — as with Herr Dühring; that being turns out to be nothing, just as with Herr Dühring; that from this being-nothing there is a transition to becoming the result of which is determinate being [Dasein], i.e., a higher, fuller form of being [Sein] — just the same as with Herr Dühring. Determinate being leads on to quality, and quality on to quantity — just the same as with Herr Dühring. And so that no essential feature may be missing, Herr Dühring tells us on another occasion:

“From the realm of non-sensation a transition is made to that of sensation, in spite of all quantitative gradations, only through a qualitative leap, of which we can say that it is infinitely different from the mere gradation of one and the same property” {142}.

This is precisely the Hegelian nodal dine of measure relations, in which, at certain definite nodal points, the purely quantitative increase or decrease gives rise to a qualitative leap; for example, in the case of heated or cooled water, where boiling-point and freezing-point are the nodes at which — under normal pressure — the leap to a new state of aggregation takes place, and where consequently quantity is transformed into quality. Our investigation has likewise tried to reach down to the roots, and it finds the roots of the deep-rooted basic schemata of Herr Dühring to be — the “delirious fantasies” of a Hegel, the categories of Hegelian Logic, Part I, the Doctrine of Being, in strictly old-Hegelian “succession” and with hardly any attempt to cloak the plagiarism! And not content with pilfering from his worst-slandered predecessor the latter's whole scheme of being, Herr Dühring, after himself giving the above-quoted example of the leaplike change from quantity into quality, says of Marx without the slightest perturbation:

“How ridiculous, for example, is the reference” (made by Marx) “to the Hegelian confused, hazy notion that quantity is transformed into quality!” {D. K. G. 498}.

Confused, hazy notion! Who has been transformed here? And who is ridiculous here, Herr Dühring? All these pretty little things are therefore not only not “axiomatically decided”, as prescribed, but are merely imported from outside, that is to say, from Hegel's Logic. And in fact in such a form that in the whole chapter there is not even the semblance of any internal coherence unless borrowed from Hegel, and the whole question finally trickles out in a meaningless subtilising about space and time, inertness and change. From being Hegel passes to essence, to dialectics. Here he deals with the determinations of reflection, their internal antagonisms and contradictions, as for example, positive and negative; he then comes to causality or the relation of cause and effect and ends with necessity. Not otherwise Herr Dühring. What Hegel calls the doctrine of essence Herr Dühring translates into “logical properties of being” {D. Ph. 29}. These, however, consist above all in the “antagonism of forces” {31}, in opposites. Contradiction, however, Herr Dühring absolutely denies; we will return to this point later. Then he passes over to causality, and from this to necessity. So that when- Herr Dühring says of himself:

“We, who do not philosophise out of a cage” {41},

he apparently means that he philosophises in a cage, namely, the cage of the Hegelian schematism of categories.

Philosophy of Nature

Time and space

We now come to philosophy of nature. Here again Herr Dühring has every cause for dissatisfaction with his predecessors. “Natural philosophy sank so low that it became an arid, spurious doggerel founded on ignorance”, and “fell to the prostituted philosophistics of a Schelling and his like, rigging themselves out in the priesthood of the Absolute and hoodwinking the public”. Fatigue has saved us from these “deformities”; but up to now it has only given place to “instability”; “and as far as the public at large is concerned, it is well known that the disappearance of a great charlatan is often only the opportunity for a lesser but commercially more experienced successor to put out again, under another signboard; the products of his predecessor”. Natural scientists themselves feel little “inclination to make excursions into the realm of world-encompassing ideas”, and consequently jump to “wild and hasty conclusions in the theoretical sphere” {D. Ph. 56-57}. The need for deliverance is therefore urgent, and by a stroke of good luck Herr Dühring is at hand. In order properly to appreciate the revelations which now follow on the development of the world in time and its limitations in space, we must turn back again to certain passages in "world schematism" {15}. Infinity — which Hegel calls bad infinity — is attributed to being also in accordance with Hegel (Encyclopaedia, § 93), and then this infinity is investigated. “The clearest form of an infinity which can be conceived without contradiction is the unlimited accumulation of numbers in a numerical series {18} ... As we can add yet another unit to any number, without ever exhausting the possibility of further numbers, so also to every state of being a further state succeeds, and infinity consists in the unlimited begetting of these states. This exactly conceived infinity has consequently only one single basic form with one single direction. For although it is immaterial to our thought whether or not it conceives an opposite direction in the accumulation of states, this retrogressing infinity is nevertheless only a rashly constructed thought-image. Indeed, since this infinity would have to be traversed in reality in the reverse direction, it would in each of its states have an infinite succession of numbers behind itself. But this would involve the impermissible contradiction of a counted infinite numerical series, and so it is contrary to reason to postulate any second direction in infinity” {19}. The first conclusion drawn from this conception of infinity is that the chain of causes and effects in the world must at some time have had a beginning: “an infinite number of causes which assumedly already have lined up next to one another is inconceivable, just because it presupposes that the uncountable has been counted” {37}. And thus a final cause is proved. The second conclusion is “the law of definite number: the accumulation of identities of any actual species of independent things is only conceivable as forming a definite number“. Not only must the number of celestial bodies existing at any point of time be in itself definite, but so must also the total number of all, even the tiniest independent particles of matter existing in the world. This latter requisite is the real reason why no composition can be conceived without atoms. All actual division has always a definite limit, and must have it if the contradiction of the counted uncountable is to be avoided. For the same reason, not only must the number of the earth's revolutions round the sun up to the present time be a definite number, even though it cannot be stated, but all periodical processes of nature must have had some beginning, and all differentiation, all the multifariousness of nature which appears in succession must have its roots in one self-equal state. This state may, without involving a contradiction, have existed from eternity; but even this idea would be excluded if time in itself were composed of real parts and were not, on the contrary, merely arbitrarily divided up by our minds owing to the variety of conceivable possibilities. The case is quite different with the real, and in itself distinguished content of time; this real filling of time with distinguishable facts and the forms of being of this sphere belong, precisely because of their distinguishability, to the realm of the countable {64-65}. If we imagine a state in which no change occurs and which in its self-equality provides no differences of succession whatever, the more specialised idea of time transforms itself into the more general idea of being. What the accumulation of empty duration would mean is quite unimaginable {70}. Thus far Herr Dühring, and he is not a little edified by the significance of these revelations. At first he hopes that they will “at least not be regarded as paltry truths” {64}; but later we find: “Recall to your mind the extremely simple methods by which we helped forward the concepts of infinity and their critique to a hitherto unknown import... the elements of the universal conception of space and time, which have been given such simple form by the sharpening and deepening now effected” {427-28}. We helped forward! The deepening and sharpening now effected! Who are "we", and when is this "now"? Who is deepening and sharpening? "Thesis: The world has a beginning in time, and with regard to space is also limited. — Proof: For if it is assumed that the world has no beginning in time, then an eternity must have elapsed up to every given point of time, and consequently an infinite series of successive states of things must have passed away in the world. The infinity of a series, however, consists precisely in this, that it can never be completed by means of a successive synthesis. Hence an infinite elapsed series of worlds is impossible, and consequently a beginning of the world is a necessary condition of its existence. And this was the first thing to be proved. — With regard to the second, if the opposite is again assumed, then the world must be an infinite given total of co-existent things. Now we cannot conceive the dimensions of a quantum, which is not given within certain limits of an intuition, in any other way than by means of the synthesis of its parts, and can conceive the total of such a quantum only by means of a completed synthesis, or by the repeated addition of a unit to itself. Accordingly, to conceive the world, which fills all spaces, as a whole, the successive synthesis of the parts of an infinite world would have to be looked upon as completed; that is, an infinite time would have to be regarded as elapsed in the enumeration of all co-existing things. This is impossible. For this reason an infinite aggregate of actual things cannot be regarded as a given whole nor, therefore, as given at the same time. Hence it follows that the world is not infinite, as regards extension in space, but enclosed in limits. And this was the second thing" (to be proved). These sentences are copied word for word from a well-known book which first appeared in 1781 and is called: Kritik der reinen Vernunft by Immanuel Kant, where all and sundry can read them, in the first part, Second Division, Book II, Chapter II, Section II: The First Antinomy of Pure Reason. So that Herr Dühring's fame rests solely on his having tacked on the name — Law of Definite Number — to an idea expressed by Kant, and on having made the discovery that there was once a time when as yet there was no time, though there was a world. As regards all the rest, that is, anything in Herr Dühring's exegesis which has some meaning, “We” — is Immanuel Kant, and the “now” is only ninety-five years ago. Certainly “extremely simple”! Remarkable “hitherto unknown import”! Kant, however, does not at all claim that the above propositions are established by his proof. On the contrary; on the opposite page he states and proves the reverse: that the world has no beginning in time and no end in space; and it is precisely in this that he finds the antinomy, the insoluble contradiction, that the one is just as demonstrable as the other. People of smaller calibre might perhaps fuel a little doubt here on account of “a Kant” having found an insoluble difficulty. But not so our valiant fabricator of “from the ground up original conclusions and views” {D. Ph. 525}; he indefatigably copies down as much of Kant’s antinomy as suits his purpose, and throws the rest aside. The problem itself has a very simple solution. Eternity in time, infinity in space, signify from the start, and in the simple meaning of the words, that there is no end in any direction neither forwards nor backwards, upwards or downwards, to the right or to the left. This infinity is something quite different from that of an infinite series, for the latter always starts from one, with a first term. The inapplicability of this idea of series to our object becomes clear directly we apply it to space. The infinite series, transferred to the sphere of space, is a line drawn from a definite point in a definite direction to infinity. Is the infinity of space expressed in this even in the remotest way? On the contrary, the idea of spatial dimensions involves six lines drawn from this one point in three opposite directions, and consequently we would have six of these dimensions. Kant saw this so clearly that he transferred his numerical series only indirectly, in a roundabout way, to the space relations of the world. Herr Dühring, on the other hand, compels us to accept six dimensions in space, and immediately afterwards can find no words to express his indignation at the mathematical mysticism of Gauss, who would not rest content with the usual three dimensions of space [37] {See D. Ph. 67-68}. As applied to time, the line or series of units infinite in both directions has a certain figurative meaning. But if we think of time as a series counted from one forward, or as a line starting from a definite point, we imply in advance that time has a beginning: we put forward as a premise precisely what we are to prove. We give the infinity of time a one-sided, halved character; but a one-sided, halved infinity is also a contradiction in itself, the exact opposite of an “infinity conceived without contradiction”. We can only get past this contradiction if we assume that the one from which we begin to count the series, the point from which we proceed to measure the line is any one in the series, that it is any one of the points in the line, and that it is a matter of indifference to the line or to the series where we place this one or this point. But what of the contradiction of “the counted infinite numerical series”? We shall be in a position to examine this more closely as soon as Herr Dühring has performed for us the clever trick of counting it. When he has completed the task of counting from (minus infinity) to 0 let him come again. It is certainly obvious that, at whatever point he begins to count, he will leave behind him an infinite series and, with it, the task which he is to fulfil. Let him just reverse his own infinite series 1 + 2 + 3 + 4 ... and try to count from the infinite end back to 1; it would obviously only be attempted by a man who has not the faintest understanding of what the problem is. And again: if Herr Dühring states that the infinite series of elapsed time has been counted, he is thereby stating that time has a beginning; for otherwise he would not have been able to start “counting” at all. Once again, therefore, he puts into the argument, as a premise, the thing that he has to prove. The idea of an infinite series which has been counted, in other words, the world-encompassing Dühringian law of definite number, is therefore a contradictio in adjecto, [“contradiction in definition” — ed.] contains within itself a contradiction, and in fact an absurd contradiction. It is clear that an infinity which has an end but no beginning is neither more nor less infinite than that which has a beginning but no end. The slightest dialectical insight should have told Herr Dühring that beginning and end necessarily belong together, like the north pole and the south pole, and that if the end is left out, the beginning just becomes the end — the one end which the series has; and vice versa. The whole deception would be impossible but for the mathematical usage of working with infinite series. Because in mathematics it is necessary to start from definite, finite terms in order to reach the indefinite, the infinite, all mathematical series, positive or negative, must start from 1, or they cannot be used for calculation. The abstract requirement of a mathematician is, however, far from being a compulsory law for the world of reality. For that matter, Herr Dühring will never succeed in conceiving real infinity without contradiction. Infinity is a contradiction, and is full of contradictions. From the outset it is a contradiction that an infinity is composed of nothing but finites, and yet this is the case. The limitedness of the material world leads no less to contradictions than its unlimitedness, and every attempt to get over these contradictions leads, as we have seen, to new and worse contradictions. It is just because infinity is a contradiction that it is an infinite process, unrolling endlessly in time and in space. The removal of the contradiction would be the end of infinity. Hegel saw this quite correctly, and for that reason treated with well-merited contempt the gentlemen who subtilised over this contradiction. Let us pass on. So time had a beginning. What was there before this beginning? The universe, which was then in a self-equal, unchanging state. And as in this state no changes succeed one another, the more specialised idea of time transforms itself into the more general idea of being. In the first place, we are here not in the least concerned with what ideas change in Herr Dühring's head. The subject at issue is not the idea of time, but real time, which Herr Dühring cannot rid himself of so cheaply. In the second place, however much the idea of time may convert itself into the more general idea of being, this does not take us one step further. For the basic forms of all being are space and time, and being out of time is just as gross an absurdity as being out of space. The Hegelian “being past away non-temporally” and the neo-Schellingian “unpremeditatable being” are rational ideas compared with this being out of time. And for this reason Herr Dühring sets to work very cautiously; actually it is of course time, but of such a kind as cannot really be called time, time, indeed, in itself does not consist of real parts, and is only divided up at will by our mind — only an actual filling of time with distinguishable facts is susceptible of being counted — what the accumulation of empty duration means is quite unimaginable. What this accumulation is supposed to mean is here beside the point; the question is, whether the world, in the state here assumed, has duration, passes through a duration in time. We have long known that we can get nothing by measuring such a duration without content just as we can get nothing by measuring without aim or purpose in empty space; and Hegel, just because of the weariness of such an effort, calls such an infinity bad. According to Herr Dühring time exists only through change; change in and through time does not exist. Just because time is different from change, is independent of it, it is possible to measure it by change, for measuring always requires something different from the thing to be measured. And time in which no recognisable changes occur is very far removed from not being time; it is rather pure time, unaffected by any foreign admixtures, that is, real time, time as such. In fact, if we want to grasp the idea of time in all its purity, divorced from all alien and extraneous admixtures, we are compelled to put aside, as not being relevant here, all the various events which occur simultaneously or one after another in time, and in this way to form the idea of a time in which nothing happens. In doing this, therefore, we have not let the concept of time be submerged in the general idea of being, but have thereby for the first time arrived at the pure concept of time. But all these contradictions and impossibilities are only mere child”s play compared with the confusion into which Herr Dühring falls with his self-equal initial state of the world. If the world had ever been in a state in which no change whatever was taking place, how could it pass from this state to alteration? The absolutely unchanging, especially when it has been in this state from eternity, cannot possibly get out of such a state by itself and pass over into a state of motion and change. An initial impulse must therefore have come from outside, from outside the universe, an impulse which set it in motion. But as everyone knows, the “initial impulse” is only another expression for God. God and the beyond, which in his world schematism Herr Dühring pretended to have so beautifully dismantled, are both introduced again by him here, sharpened and deepened, into natural philosophy. Further, Herr Dühring says: “Where magnitude is attributed to a constant element of being, it will remain unchanged in its determinateness. This holds good ... of matter and mechanical force” {D. Ph. 26}. The first sentence, it may be noted in passing, is a precious example of Herr Dühring's axiomatic-tautological grandiloquence: where magnitude does not change, it remains the same. Therefore the amount of mechanical force which exists in the world remains the same for all eternity. We will overlook the fact that, in so far as this is correct, Descartes already knew and said it in philosophy nearly three hundred years ago; that in natural science the theory of the conservation of energy has held sway for the last twenty years; and that Herr Dühring, in limiting it to mechanical force, does not in any way improve on it. But where was the mechanical force at the time of the unchanging state? Herr Dühring obstinately refuses to give us any answer to this question. Where, Herr Dühring, was the eternally self-equal mechanical force at that time, and what did it put in motion? The reply: “The original state of the universe, or to put it more plainly, of an unchanging existence of matter which comprised no accumulation of changes in time, is a question which can be spurned only by a mind that sees the acme of wisdom in the self-mutilation of its own generative power.” {78-79}. Therefore: either you accept without examination my unchanging original state, or I, Eugen Dühring, the possessor of creative power, will certify you as intellectual eunuchs. That may, of course, deter a good many people. But we, who have already seen some examples of Herr Dühring's generative power, can permit ourselves to leave this genteel abuse unanswered for the moment, and ask once again: But Herr Dühring, if you please, what about that mechanical force? Herr Dühring at once grows embarrassed. In actual fact, he stammers, “the absolute identity of that initial extreme state does not in itself provide any principle of transition. But we must remember that at bottom the position is similar with every new link, however small, in the chain of existence with which we are familiar. So that whoever wants to raise difficulties in the fundamental case now under consideration must take care that he does not allow himself to pass them by on less obvious occasions. Moreover, there exists the possibility of interposing successively graduated intermediate stages, and also a bridge of continuity by which it is possible to move backwards and reach the extinction of the process of change. It is true that from a purely conceptual standpoint this continuity does not help us pass the main difficulty, but to us it is the basic form of all regularity and of every known form of transition in general, so that we are entitled to use it also as a medium between that first equilibrium and the disturbance of it. But if we had conceived the so to speak” (!) “motionless equilibrium on the model of the ideas which are accepted without any particular objection” (!) “in our present-day mechanics, there would be no way of explaining how matter could have reached the process of change.” Apart from the mechanics of masses there is, however, we are told, also a transformation of mass movement into the movement of extremely small particles, but as to how this takes place — “for this up to the present we have no general principle at our disposal and consequently we should not be surprised if these processes take place somewhat in the dark” {79-80, 81}. That is all Herr Dühring has to say. And in fact, we would have to see the acme of wisdom not only in the “self-mutilation of our generative power” {79}, but also in blind, implicit faith, if we allowed ourselves to be put off with these really pitiable rank subterfuges and circumlocutions. Herr Dühring admits that absolute identity cannot of itself effect the transition to change. Nor is there any means whereby absolute equilibrium can of itself pass into motion. What is there, then? Three lame, false arguments. Firstly: it is just as difficult to show the transition from each link, however small, in the chain of existence with which we are familiar, to the next one. — Herr Dühring seems to think his readers are infants. The establishment of individual transitions and connections between the tiniest links in the chain of existence is precisely the content of natural science, and when there is a hitch at some point in its work no one, not even Herr Dühring, thinks of explaining prior motion as having arisen out of nothing, but always only as a transfer, transformation or transmission of some previous motion. But here the issue is admittedly one of accepting motion as having arisen out of immobility, that is, out of nothing. In the second place, we have the “bridge of continuity”. From a purely conceptual standpoint, this, to be sure, does not help us over the difficulty, but all the same we are entitled to use it as a medium between immobility and motion. Unfortunately the continuity of immobility consists in not moving; how therefore it is to produce motion remains more mysterious than ever. And however infinitely small the parts into which Herr Dühring minces his transition from complete non-motion to universal motion, and however long the duration he assigns to it, we have not got a ten-thousandth part of a millimetre further. Without an act of creation we can never get from nothing to something, even if the something were as small as a mathematical differential. The bridge of continuity is therefore not even an asses’ bridge [37a]; it is passable only for Herr Dühring. Thirdly: so long as present-day mechanics holds good — and this science, according to Herr Dühring, is one of the most essential levers for the formation of thought — it cannot be explained at all how it is possible to pass from immobility to motion. But the mechanical theory of heat shows us that the movement of masses under certain conditions changes into molecular movement (although here too one motion originates from another motion, but never from immobility); and this, Herr Dühring shyly suggests, may possibly furnish a bridge between the strictly static (in equilibrium) and dynamic (in motion). But these processes take place “somewhat in the dark”. And it is in the dark that Herr Dühring leaves us sitting. This is the point we have reached with all his deepening and sharpening — that we have perpetually gone deeper into ever sharper nonsense, and finally land up where of necessity we had to land up — “in the dark”. But this does not abash Herr Dühring much. Right on the next page he has the effrontery to declare that he has “been able to provide a real content for the idea of self-equal stability directly from the behaviour of matter and the mechanical forces” {D. Ph. 82}. And this man describes other people as “charlatans”! Fortunately, in spite of all this helpless wandering and confusion “in the dark”, we are left with one consolation, and this is certainly edifying to the soul: “The mathematics of the inhabitants of other celestial bodies can rest on no other axioms than our own!” {69}.

Cosmogony, Physics, Chemistry.

The Organic World.

Conclusion

II. Political economy

III. Socialism

Original notes