Numbers, Geometry, and Mathematical Axioms: The Problem of Metaphysics in the Critique of Pure Reason


We have shown that 1) “the representation I think” – the transcendental unity of self-consciousness – is homogeneous with “pure apperception” which signifies “the thoroughgoing identity of oneself in all possible representations” which “grounds empirical consciousness a priori” (A116): 2) “the representation I think,” which can accompany all others, is to cognize “through categories whatever objects may come before our senses” (B159). Thus we comprehend that a human, as “the representation I think,” senses, intuits and cognizes all appearances themselves in virtue of filled space-elapsing time or nullity in space-time through empirical intuition and synthesis. Our transcendental analytic indicates that a being of all beings signifies space-time itself – quantum. When Kant says, “the members of the division exclude each other and yet are connected in one sphere, so in the latter case the parts are represented as ones to which existence (as substance) pertains to each exclusively of the other, and which are yet connected in one whole” (B112-B113), we think that “the members of the division” signifies categories, through which it would become possible for us to cognize a priori “whatever objects may come before our senses,…as far as laws of their combination are concerned” (B159). Our discourse would potentially lead us to an alternative view on the universe and causality. When Einstein asserts that there is a serious defect in quantum mechanics (Einstein et al. 1935: 777-780), we feel that our transcendental analytic might give us an inkling for the solution of this conundrum and mathematics.

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Kazuhiko Yamamoto, Megumi Institute of Ethics and Philosophy, Japan

Paper Information
Conference: ECERP2017
Stream: Philosophy - Philosophy and Technology

This paper is part of the ECERP2017 Conference Proceedings (View)
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Posted by James Alexander Gordon