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Discussing "Science And Hypothesis" By Henri Poincare
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In this episode of Canonball we discuss "Science And Hypothesis," which was written by Henri Poincare and published in 1902.
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1. Why I Wanted To Read This Book (00:00:00)
2. More On Poincare's Life (00:02:22)
3. Plan To Read Three Books By Poincare (00:07:24)
4. Opening Thoughts About "Science And Hypothesis" (00:10:14)
5. Detour About Innovation, Creativity, And Edward De Bono (00:12:14)
6. Beginning Of Passages From Science And Hypothesis (00:14:36)
7. The Linguistic Turn, Gottlob Frege, And The Words We Use (00:18:03)
8. Poincare Anticipating Developments In Physics (00:20:58)
9. The Foundational Crisis In Mathematics And How To View Science (00:21:17)
10. The Nature Of Mathematical Reasoning And Non-Euclidian Geometry (00:26:05)
11. Demonstration By Recurrence (00:33:48)
12. Induction In The Physical Sciences And In Math (00:40:15)
13. What Mathematicians Study, The Continuum, And Measuring Physical Sensations (00:45:31)
14. An Illustration Of Non-Euclidian Geometry (00:49:41)
15. Closing (00:57:44)
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