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

Authors
Jeremy Heis
University of California, Irvine
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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DOI 10.1162/POSC_a_00015
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References found in this work BETA

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.

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Citations of this work BETA

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.
Ernst Cassirer's Neo-Kantian Philosophy of Geometry.Jeremy Heis - 2011 - British Journal for the History of Philosophy 19 (4):759 - 794.
Kant, Neo‐Kantians, and Transcendental Subjectivity.Charlotte Baumann - 2017 - European Journal of Philosophy 25 (3):595-616.

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