Based in Sydney, Australia, Foundry is a blog by Rebecca Thao. Her posts explore modern architecture through photos and quotes by influential architects, engineers, and artists.

Episode 102 - Logical Induction, Building Ordinals, and Compounding Errors

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

Episode 103 - Dave Rubin on Launching Locals and Taking Power back from Big Tech

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Episode 101 - Robots Taking All Our Jobs? Antony Sammeroff’s Rebuttal

Episode 101 - Robots Taking All Our Jobs? Antony Sammeroff’s Rebuttal