Sam Sanders - Uniformity in Mathematics

Sam Sanders - Uniformity in Mathematics

Hausdorff Center for Mathematics via YouTube Direct link

Intro

1 of 13

1 of 13

Intro

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Sam Sanders - Uniformity in Mathematics

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  1. 1 Intro
  2. 2 Historical examples of uniformity
  3. 3 Uniform theorems, then and now
  4. 4 The Gödel hierarchy
  5. 5 Gödel hierarchy (including higher-order arithmetic)
  6. 6 Cousin's lemma and HBU
  7. 7 Beyond Riemann and Lebesgue integration
  8. 8 Reverse Mathematics of HBU The following properties of the
  9. 9 Known 'uniform' theorems
  10. 10 New uniform theorems: Ramsey's theorem
  11. 11 The Monty Hall problem of logic
  12. 12 Collapsing the Godel hierarchy
  13. 13 Kleene: the marriage of recursion theory and intuitionism

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