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Zur Mathematischen Wissenschaftsphilosophie des Marburger Neukantianismus

In Christian Damböck (ed.), Philosophie Und Wissenschaft Bei Hermann Cohen/Philosophy and Science in Hermann Cohen. Springer Verlag. pp. 101-133 (2018)

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Dimitry Gawronsky: Reality and Actual Infinitesimals.Hernán Pringe - 2023 - Kant Studien 114 (1):68-97.details 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. Download Export citation Bookmark
Cohen’s Logik der reinen Erkenntnis and Cassirer’s Substanzbegriff und Funktionsbegriff.Hernán Pringe - 2020 - Kant Yearbook 12 (1):137-168.details This paper compares Cohen’s Logic of Pure Knowledge and Cassirer’s Substance and Function in order to evaluate how in these works Cohen and Cassirer go beyond the limits established by Kantian philosophy. In his Logic, Cohen seeks to ground in pure thought all the elements which Kant distinguishes in empirical intuition: its matter (sensation) as well as its form (time and space). In this way, Cohen tries to provide an account of knowledge without appealing to any receptivity. In accordance with (...) Download Export citation Bookmark 1 citation

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