Mathematical Structuralism: Weyl's Positions - Lecture

Explore a comprehensive lecture on mathematical structuralism focusing on Hermann Weyl's positions, presented by Wilfried Sieg from Carnegie Mellon University. Delve into the early expressions of structuralism in modern mathematics, particularly through Richard Dedekind's work. Examine Weyl's critical stance on Dedekind and David Hilbert's views on structural axiomatics and abstract proof conception, as well as his discussions with Emmy Noether. Analyze Weyl's later balanced perspective on structuralist and constructive approaches, comparing it to Paul Bernays' views on arithmetically grounded methodological frames. Gain insights into the historical development and philosophical implications of mathematical structuralism through this in-depth seminar, part of the Orange County Inland Empire (OCIE) Seminar series in History and Philosophy of Mathematics.