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Publication details

Publisher: Springer

Place: Berlin

Year: 2016

Pages: 91-98

Series: Argumentation Library

ISBN (Hardback): 9783319207827

Full citation:

, "Lecture X", in: A theory of philosophical fallacies, Berlin, Springer, 2016

Abstract

The fallacy of concept swapping (i.e. replacement of a synthetic by an analytic judgment) which is responsible for the logicist position on the epistemological status of the axioms of geometry also underlies the empiricist position. The fallacy is shared by famous scientists (e.g. Schröder, Ostwald, and Mach), and it has pushed several high-calibre mathematicians (Gauss, Lobachevsky, Riemann, and Helmholtz) into empiricism, and another (Poincaré) into conventionalism. They all resisted Kant's solution—the idea of synthetic a priori judgments.

Publication details

Publisher: Springer

Place: Berlin

Year: 2016

Pages: 91-98

Series: Argumentation Library

ISBN (Hardback): 9783319207827

Full citation:

, "Lecture X", in: A theory of philosophical fallacies, Berlin, Springer, 2016