Gödel’s Cantorianism

In Eva-Maria Engelen & Gabriella Crocco (eds.), 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.

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Claudio Ternullo
Universitat de Barcelona

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References found in this work

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 - Oxford, England: Oxford University Press.
Der Gedanke.Gottlob Frege - 1918-1919 - Beiträge Zur Philosophie des Deutschen Idealismus 2:58-77.

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