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Philosophy and Culture
Reference:
Zholkov, S. Yu.
Kant’s “Mathematical Antinomies” are not Antinomies
// Philosophy and Culture.
2013. ¹ 10.
P. 1368-1378.
URL: https://en.nbpublish.com/library_read_article.php?id=63411
Zholkov, S. Yu. Kant’s “Mathematical Antinomies” are not Antinomies
Abstract:
The article is devoted to the problems raise 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 limited prescribed to a cognizing mind, they involve, in the first place, the laws
that determine the architectonics of veritable theories.
Keywords:
philosophy, “mathematical antinomies”, Kant, transcendental dialectics, antitetics, space, time, infinity, architectonics of theories, mind.
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