We consider Hilbert's contributions to the foundations of mathematica, including his conception of the axiomatic method, his notion of mathematical proof, and his approach to infinity through finitely tools. We describe his "Programme", and we comment its collapse due to Goedel's Incompleteness Theorems. Despite that defeat, Hilbert's project remains topical today.

H for Hilbert... and M for Mathematics

Carlo Toffalori
2017

Abstract

We consider Hilbert's contributions to the foundations of mathematica, including his conception of the axiomatic method, his notion of mathematical proof, and his approach to infinity through finitely tools. We describe his "Programme", and we comment its collapse due to Goedel's Incompleteness Theorems. Despite that defeat, Hilbert's project remains topical today.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11581/405945
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