Hajime Ishihara- Constructive Reverse Mathematics- An Introduction and Recent Results

Hajime Ishihara- Constructive Reverse Mathematics- An Introduction and Recent Results

Hausdorff Center for Mathematics via YouTube Direct link

Conditions for DC

14 of 15

14 of 15

Conditions for DC

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Classroom Contents

Hajime Ishihara- Constructive Reverse Mathematics- An Introduction and Recent Results

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  1. 1 Intro
  2. 2 Classical reverse mathematics
  3. 3 Classical (higher order) reverse mathematics
  4. 4 Bishop's constructive mathematics
  5. 5 Notations
  6. 6 Axioms of intuitionism
  7. 7 Consequences of the axioms
  8. 8 Omniscience principles
  9. 9 Principles weaker than Markov's principle
  10. 10 Relationship among principles
  11. 11 Constructive reverse mathematics with countable choice
  12. 12 Constructive reverse mathematics (CRM)
  13. 13 WKL for restricted trees
  14. 14 Conditions for DC
  15. 15 CRM is a multi-dimensional reverse mathematics

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