“Critical philosophy begins at the very point where logistic leaves off”: Cassirer's Response to Frege and Russell

Perspectives on Science 18 (4):383-408 (2010)
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Abstract

According to Michael Friedman, Ernst Cassirer’s “outstanding contribution [to Neo-Kantianism] was to articulate, for the first time, a clear and coherent conception of formal logic within the context of the Marburg School” (Friedman 2000, p. 30). In his paper “Kant und die moderne Mathematik” (1907), Cassirer argued not only that the new relational logic of Frege1 and Russell was a major breakthrough with profound philosophical implications, but also that the logicist thesis itself was a “fact” of modern mathematics. Cassirer summarizes his evaluation of Russell’s work: Here logic and mathematics have been fused into a true, henceforth indissoluble unity; and from this inner connection there arises for each...

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Jeremy Heis
University of California, Irvine

Citations of this work

Infinitesimals as an issue of neo-Kantian philosophy of science.Thomas Mormann & Mikhail Katz - 2013 - Hopos: The Journal of the International Society for the History of Philosophy of Science (2):236-280.
Kant, Neo‐Kantians, and Transcendental Subjectivity.Charlotte Baumann - 2017 - European Journal of Philosophy 25 (3):595-616.
Ernst Cassirer's Neo-Kantian Philosophy of Geometry.Jeremy Heis - 2011 - British Journal for the History of Philosophy 19 (4):759 - 794.
Ernst Cassirer's transcendental account of mathematical reasoning.Francesca Biagioli - 2020 - Studies in History and Philosophy of Science Part A 79 (C):30-40.
Ernst Cassirer’s Substanzbegriff und Funktionsbegriff.Jeremy Heis - 2014 - Hopos: The Journal of the International Society for the History of Philosophy of Science 4 (2):241-70.

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References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Tractatus Logico-Philosophicus.Ludwig Wittgenstein - 1956 - Revista Portuguesa de Filosofia 12 (1):109-110.
The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.

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