Gödel's Path from Hilbert and Carnap to Husserl

Richard Tieszen

in After Gödel

Published in print May 2011 | ISBN: 9780199606207
Published online May 2011 | e-ISBN: 9780191725500 | DOI:
Gödel's Path from Hilbert and Carnap to Husserl

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Between 1953 and 1959 Gödel worked on six drafts of a paper in which he sought to refute Carnap's idea that mathematics is syntax of language. Gödel never published this paper but he began to study Husserl's work seriously in 1959. Around 1961 he prepared a short manuscript in which he discussed Husserl's work in relation to the modern development of the foundations of mathematics, including Hilbert's approach. Hao Wang conjectures that in 1959 Gödel probably felt that Husserl's work promised to yield convincing reasons for his own beliefs about what mathematics is. This chapter contains an analysis of the main ideas in Gödel's drafts of the Carnap paper and indicates how they are related to the 1961 text on Husserl. The text on Husserl is then discussed and used to further develop the argument in subsequent chapters

Keywords: Carnap; Hilbert; Husserl; positivism; mathematics; intuition; syntax; meaning; empiricism; consistency

Chapter.  13837 words. 

Subjects: History of Western Philosophy

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