Episode 102 - Logical Induction, Building Ordinals, and Compounding Errors
Max give his take on Logical Induction and the construction of mathematical objects, a topic that he's been interested in for years.
Topics include:
- Intro to Mathematical Induction
- Tradition Induction vs Ordinal Induction vs Epslion Induction
- The Dominos analogy
- Logical arguments vs Physical Arguments
- Problems with compound implications in the real world
- Spotting arguments that hide compound errors
Links
128K Dominos Falling (Journey around the world)
Math World: Peano Axioms
For advanced readers: Set Theory and The Continuum Hypothesis
Related Episodes
Episode 97 on Classic Problems in Computer Science
Episode 94 on Infinite Ratios
Episode 90 on Narrative Confirmation Bias
Episode 39 on well-foundedness and Mathematical Paradoxes
Episode 21 on Probability, Belief, and Truth