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This course presents highlights of the more technical side of philosophy.

0

English

English [CC]

FREE

Description

It studies a cluster of puzzles, paradoxes, and intellectual wonders â€” from the higher infinite to Gödel’s Theorem â€” and discusses their philosophical implications.

Course content

  • The Cantorian Theory of Size (Part I) Unlimited
  • The Cantorian Theory of Size (Part II) Unlimited
  • The Ordinals (Part I) Unlimited
  • The Ordinals (Part II) Unlimited
  • Ordinals as Blueprints Unlimited
  • Omega-Sequence Paradoxes (Part I) Unlimited
  • Omega-Sequence Paradoxes (Part II) Unlimited
  • Time Travel Unlimited
  • Time Travel and Free Will Unlimited
  • Newcomb’s Problem Unlimited
  • Probability, Subjective and Objective Unlimited
  • Countable Additivity Unlimited
  • Measure Theory Unlimited
  • The Vitali Sets Unlimited
  • Banach-Tarski: Preliminaries Unlimited
  • Banach-Tarski: The Theorem Unlimited
  • Computability: Turing Machines Unlimited
  • Non-Computable Functions (Part I) Unlimited
  • Non-Computable Functions (Part II) Unlimited
  • Gödel’s Theorem (Part I) Unlimited
  • Gödel’s Theorem (Part II) Unlimited

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Instructor

Massachusetts Institute of Technology
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