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Philosophical Thought
Reference:

Kant's УMathematical AntinomiesФ are not Antinomies. Solution of the Problem

Zholkov Sergey

PhD in Physics and Mathematics

Professor, the Department of Applied Mathematics, Gubkin Russian State University of Oil and Gas (National Research University)

119991, Russia, Moscow, Leninsky Prospekt 65

sergei_jolkov@mail.ru
ƒругие публикации этого автора
 

 

DOI:

10.7256/2306-0174.2013.5.516

Review date:



Publish date:

1-5-2013


Abstract.

The article is devoted to the problems raised by Kat in his ‘mathematical antinomies’. Analysis is carried out in original formulation of Kant’s own terms and as a part of his own philosophical argumentation. The same problems are also viewed disregarding Kant’s philosophy. Validity and evidence which make it possible to structure analysis in a form of rigorous theory as it is seen by modern mathematics, allow to categorically state that Kant’s classification lacks grounds and his reasoning regarding ‘mathematical antinomies’ can’t be considered to be a proof. On the contrary both his theses and antitheses are irrefutable. The essence of problems is not in unavoidable contradictions of mind or process of cognition of transcendental world in the course of Kantian debates of mind with itself but in non-uniqueness of conceptual representations. As for the limits prescribed to the perceptive mind, they involve, first of all, the laws that determine the architectonics of veritable theories. 

Keywords: infinity, time, space, antitetics, transcendental dialectics, mathematical antinomies, architectonics of theories
This article written in Russian. You can find full text of article in Russian here .

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