It may also be noted that his failure to make a more thorough study of Antinomy was one of the reasons why Kant enumerated only _four_ Antinomies. These four attracted his notice, because, as may be seen in his discussion of the so-called Paralogisms of Reason, he assumed the list of the categories as a basis of his argument. Employing what has subsequently become a favourite fashion, he simply put the object under a rubric otherwise ready to hand, instead of deducing its characteristics from its notion. Further deficiencies in the treatment of the Antinomies I have pointed out, as occasion offered, in my 'Science of Logic' Here it will be sufficient to say that the Antinomies are not confined to the four special objects taken from Cosmology: they appear in all objects of every kind, in all conceptions, notions and Ideas. To be aware of this and to know objects in this property of theirs, makes a vital part in a philosophical theory. For the property thus indicated is what we shall afterwards describe as the Dialectical influence in logic. * * * * * The principles of the metaphysical philosophy gave rise to the belief that, when cognition lapsed into contradictions, it was a mere accidental aberration, due to some subjective mistake in argument and inference. According to Kant, however, thought has a natural tendency to issue in contradictions or antinomies, whenever it seeks to apprehend the infinite. We have in the latter part of the above paragraph referred to the philosophical importance of the antinomies of reason, and shown how the recognition of their existence helped largely to get rid of the rigid dogmatism of the metaphysic of understanding, and to direct attention to the Dialectical movement of thought. But here too Kant, as we must add, never got beyond the negative result that the thing-in-itself is unknowable, and never penetrated to the discovery of what the antinomies really and positively mean. That true and positive meaning of the antinomies is this: that every actual thing involves a coexistence of opposed, elements. Consequently to know, or, in other words, to comprehend an object is equivalent to being conscious of it as a concrete unity of opposed determinations. The old. metaphysic, as we have already seen, when it studied the objects of which it sought a metaphysical knowledge, went to work by applying categories abstractly and to the exclusion of their opposites. Kant, on the other hand, tried to prove that the statements, issuing through this method, could be met by other statements of contrary import with equal warrant and equal necessity. In the enumeration of these antinomies he narrowed his ground to the cosmology of the old metaphysical system, and in his discussion made out four antinomies, a number which rests upon the list of the categories. The first antinomy is on the question: Whether we are or are not to think the world limited in space and time.