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This course presents highlights of the more technical side of philosophy.
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English
English [CC]
FREE
				- Learn basic syntax that can apply to any language.
 - Learn what is a programming language and the basic concepts for beginners.
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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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