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(2018) The hyperuniverse project and maximality, Dordrecht, Springer.

Gödel's Cantorianism

Claudio Ternullo

pp. 227-258

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

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

Full citation:

Ternullo, C. (2018)., Gödel's Cantorianism, in C. Antos, R. Honzik, C. Ternullo & S. D. Friedman (eds.), The hyperuniverse project and maximality, Dordrecht, Springer, pp. 227-258.

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