Gödel’s Cantorianism

In E.-M. Engelen, Kurt Gödel: Philosopher-Scientist. Presses Universitaires de Provence. pp. 417-446 (2015)
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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.

Other Versions

reprint Ternullo, Claudio (2018) "Gödel’s Cantorianism". In Antos, Carolin, Friedman, Sy-David, Honzik, Radek, Ternullo, Claudio, The Hyperuniverse Project and Maximality, pp. 227-258: Birkhäuser (2018)

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Author's Profile

Claudio Ternullo
Babes-Bolyai University of Cluj

References found in this work

Ideas pertaining to a pure phenomenology and to a phenomenological philosophy.Edmund Husserl - 1980 - Hingham, MA, USA: Distributors for the U.S. and Canada, Kluwer Boston.
The foundations of arithmetic.Gottlob Frege - 1884/1950 - Evanston, Ill.,: Northwestern University Press.
Cartesian meditations.Edmund Husserl - 1960 - [The Hague]: M. Nijhoff.
Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.

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