Dimitry Gawronsky: Reality and Actual Infinitesimals

Autor: Hernán Pringe
Rok vydání: 2023
Předmět:
Zdroj: Kant-Studien. 114:68-97
ISSN: 1613-1134
0022-8877
DOI: 10.1515/kant-2023-2012
Popis: The aim of this paper is to analyze Dimitry Gawronsky’s doctrine of actual infinitesimals. I examine the peculiar connection that his critical idealism establishes between transcendental philosophy and mathematics. In particular, I reconstruct the relationship between Gawronsky’s differentials, Cantor’s transfinite numbers, Veronese’s trans-Archimedean numbers and Robinson’s hyperreal numbers. I argue that by means of his doctrine of actual infinitesimals, Gawronsky aims to provide an interpretation of calculus that eliminates any alleged given element in knowledge.
Databáze: OpenAIRE