Marcus Usoitoy

Professor of Mathematics at Wadham College, University of Oxford. Provided expertise on axioms and foundations of mathematics in relation to Gödel's work.

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Mar 27, 2023 • 43min

Godel Incompleteness Theorem

In this intriguing discussion, John Barrow, a Professor at the University of Cambridge, and Philip Welsh from the University of Bristol, alongside Marcus Usoitoy from the University of Oxford, delve into Gödel's incompleteness theorems. They unveil the historical context, exploring the challenges of establishing a consistent mathematical foundation. The conversation touches on the evolution of axioms, paradoxes like Russell's, and the lasting implications of Gödel's revelations on logic, truth, and the philosophy of mathematics.