- From www.edx.org
Paradox and Infinity
- 12 Sequences
- Intermediate Level
- Starts on June 21, 2021
- Ends on September 6, 2021
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
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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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