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

Kazuhiko Yamamoto

Abstract


So far, we have clarified 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, grounding empirical consciousness a priori: 2) »the representation I think« which can accompany all others, is to cognize through categories whatever objects may come before our senses. 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, i.e., quantum. Kant’s metaphysics, which states that 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 substances) pertains to each exclusively of the others, and which are yet connected in one whole, led us to think that »the members of the division« signifies categories, through which it would become possible for us to cognize any object as far as laws of their combination are concerned. The discourse would potentially lead us to an alternative view on the universe and causality. We feel that our transcendental analytic might give us an inkling for the solution of conundrums in mathematics and physics. 


Keywords*


Numbers, Geometry, Mathematical Axioms, Metaphysics

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