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Massachusetts Institute of Technology

Paradox and Infinity

Massachusetts Institute of Technology via MITx Online

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Overview

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This is a class about awe-inspiring issues at the intersection between philosophy and mathematics.

Syllabus

  • You will learn how to prove a number of beautiful theorems, including Cantor's Theorem, the Banach-Tarski Theorem, and Gödel's Theorem.
  • You will acquire the ability to think rigorously about paradoxes and other open-ended problems.
  • You will learn about phenomena at the boundaries of our theorizing, where our standard mathematical tools are not always effective.

Taught by

Agustín Rayo

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