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David Hilbert and Principia Mathematica

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Part of the book series: History of Analytic Philosophy ((History of Analytic Philosophy))

Abstract

After the failure of Frege’s Grundgesetze (1903a), due to Russell’s paradox, it was the Principia Mathematica of Whitehead and Russell which first successfully developed mathematics within a logical framework. As such it attracted the attention of David Hilbert and his school. For the reception of the first edition of Principia in Gottingen, one has to consider four aspects: (a) the context in which Principia was studied in Gottingen, (b) Heinrich Behmann’s PhD thesis on Principia, (c) Paul Bernays’s reaction to Principia, and (d) the fate of logicism.

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© 2013 Reinhard Kahle

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Kahle, R. (2013). David Hilbert and Principia Mathematica. In: Griffin, N., Linsky, B. (eds) The Palgrave Centenary Companion to Principia Mathematica. History of Analytic Philosophy. Palgrave Macmillan, London. https://doi.org/10.1057/9781137344632_2

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