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This course presents highlights of the more technical side of philosophy.
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English
English [CC]
FREE
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Description
It studies a cluster of puzzles, paradoxes, and intellectual wonders — from the higher infinite to Gödel’s Theorem — 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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