Discussing Henri Poincare's "Science And Hypothesis"
In this episode of Canonball we discuss"Science And Hypothesis," which was written by Henri Poincare and published in 1902.
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0:00 Why I Wanted To Read This Book
2:22 More On Poincare's Life
7:24 Plan To Read Three Books By Poincare
10:14 Opening Thoughts About "Science And Hypothesis"
12:14 Detour About Innovation, Creativity, And Edward De Bono
14:36 Beginning Of Passages From Science And Hypothesis
18:03 The Linguistic Turn, Gottlob Frege, And The Words We Use
20:58 Poincare Anticipating Developments In Physics
21:17 The Foundational Crisis In Mathematics And How To View Science
26:05 The Nature Of Mathematical Reasoning And Non-Euclidian Geometry
33:48 Demonstration By Recurrence
40:15 Induction In The Physical Sciences And In Math
45:31 What Mathematicians Study, The Continuum, And Measuring Physical Sensations
49:41 An Illustration Of Non-Euclidian Geometry
57:44 Closing