Gödel's Cantorianism

Claudio Ternullo

pp. 227-258

in: Carolin Antos, Radek Honzik, Claudio Ternullo, Sy D. Friedman (eds), The hyperuniverse project and maximality, Berlin, Springer, 2018

Abstrakt

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.

Cited authors

Plato

Cantor Georg

Gödel Kurt