Paradox and Infinity

Closed
Course
en
English
60 h
This content is rated 5 out of 5
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  • From www.edx.org
More info
  • 12 Sequences
  • Intermediate Level
  • Starts on June 21, 2021
  • Ends on September 6, 2021

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Course details

Syllabus

Module 1: INFINITY

Week 1 Infinite Cardinalities

Week 2 The Higher Infinite

Week 3 Omega-Sequence Paradoxes

Module 2: DECISIONS, PROBABILITIES AND MEASURES

Week 4 Time Travel

Week 5 Newcomb's Problem

Week 6 Probability

Week 7 Non-Measurable Sets

Week 8 The Banach-Tarski Theorem

Module 3: COMPUTABILITY AND GÖDEL'S THEOREM

Week 9 Computability

Week 10 Gödel's Theorem

Prerequisite

Experience in college-level mathematics or computer-science maybe helpful.

Instructors

Agustín Rayo
Professor of Philosophy and Associate Dean of SHASS
Massachusetts Institute of Technology

David Balcarras
Digital Learning Lab Fellow
Massachusetts Institute of Technology

Editor

MIT is a world-class educational institution where teaching and research — with relevance to the practical world as a guiding principle — continue to be its primary purpose.

MIT is independent, coeducational, and privately endowed. Its five schools and one college encompass numerous academic departments, divisions and degree-granting programs, as well as interdisciplinary centers, laboratories and programs whose work cuts across traditional departmental boundaries.

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