Kant on mathematical axioms

Autores

  • Luciana Martinez IKBFU, Kaliningrad

DOI:

https://doi.org/10.36311/2318-0501.2022.v10n1.p213

Palavras-chave:

Kant, Wolff, Axioms, Mathematics, Criticism

Resumo

This article is intended to explain the notion of “mathematical axioms” presented in Kant’s Critique of Pure Reason.
This notion is developed mainly within the framework of a justification of the thesis of the methodological dualism of the rational sciences (mathematics and metaphysics). We argue that there are significant differences between the critical notion of mathematical axioms, the pre-critical developments and the Wolffian definitions. The notion of “axiom” that Kant intends to take from mathematical procedures is inscribed in his peculiar way of thinking this science. This paper studies the considerations of (i) Wolff’s mathematical texts, (ii) the pre-critical texts and (iii) the Critique of Pure Reason, and mentions the differences between them in the conclusion.

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Biografia do Autor

  • Luciana Martinez, IKBFU, Kaliningrad

    This research was supported by the Russian Academic Excellence Project at the Immanuel Kant Baltic Federal University. An earlier, partial, draft was discussed at the II Seminar on the Origins of contemporary philosophy (PUC-SP), coordinated by Dr. Lucas Amaral

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Publicado

2022-07-15

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