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International Studies in Phenomenology and Philosophy

Book | Chapter

179399

Gödel's Cantorianism

Claudio Ternullo

pp. 227-258

Abstract

Gödel's philosophical conceptions bear striking similarities to Cantor's. Although there is no conclusive evidence that Gödel deliberately used or adhered to Cantor's views, one can successfully reconstruct and see his "Cantorianism" at work in many parts of his thought. In this paper, I aim to describe the most prominent conceptual intersections between Cantor's and Gödel's thought, particularly on such matters as the nature and existence of mathematical entities (sets), concepts, Platonism, the Absolute Infinite, the progress and inexhaustibility of mathematics.

Publication details

Published in:

Antos Carolin, Honzik Radek, Ternullo Claudio, Friedman Sy David (2018) The hyperuniverse project and maximality. Dordrecht, Springer.

Pages: 227-258

DOI: 10.1007/978-3-319-62935-3_11

Full citation:

Ternullo Claudio (2018) „Gödel's Cantorianism“, In: C. Antos, R. Honzik, C. Ternullo & S. Friedman (eds.), The hyperuniverse project and maximality, Dordrecht, Springer, 227–258.