24.118 | Spring 2019 | Undergraduate

Paradox and Infinity

Lecture Notes

pdf
140 kB
24.118_S19 Paradox and Infinity, Lecture Note 1: The Cantorian Theory of Size I
pdf
141 kB
24.118_S19 Paradox and Infinity, Lecture Note 10: Newcomb's Problem
pdf
217 kB
24.118_S19 Paradox and Infinity, Lecture Note 11: Probability, Subjective and Objective
pdf
261 kB
24.118_S19 Paradox and Infinity, Lecture Note 12: Countable Additivity
pdf
220 kB
24.118_S19 Paradox and Infinity, Lecture Note 13: Measure Theory
pdf
198 kB
24.118_S19 Paradox and Infinity, Lecture Note 14: The Vitali Sets
pdf
330 kB
24.118_S19 Paradox and Infinity, Lecture Note 15: Banach-Tarski: Preliminaries
pdf
291 kB
24.118_S19 Paradox and Infinity, Lecture Note 16: Banach-Tarski: The Theorem
pdf
178 kB
24.118_S19 Paradox and Infinity, Lecture Note 17: Computability: Turing Machines
pdf
156 kB
24.118_S19 Paradox and Infinity, Lecture Note 19: Non-computable Functions II
pdf
166 kB
24.118_S19 Paradox and Infinity, Lecture Note 2: The Cantorian Theory of Size II
pdf
222 kB
24.118_S19 Paradox and Infinity, Lecture Note 20: Gödel's Theorem I
pdf
256 kB
24.118_S19 Paradox and Infinity, Lecture Note 21: Gödel's Theorem II
pdf
180 kB
24.118_S19 Paradox and Infinity, Lecture Note 3: The Ordinals I
pdf
473 kB
24.118_S19 Paradox and Infinity, Lecture Note 4: The Ordinals II
pdf
193 kB
24.118_S19 Paradox and Infinity, Lecture Note 5: Ordinals as Blueprints
pdf
225 kB
24.118_S19 Paradox and Infinity, Lecture Note 6: Omega-sequence Paradoxes I
pdf
219 kB
24.118_S19 Paradox and Infinity, Lecture Note 7: Omega-sequence Paradoxes II
pdf
193 kB
24.118_S19 Paradox and Infinity, Lecture Note 8: Time Travel
pdf
144 kB
24.118_S19 Paradox and Infinity, Lecture Note 9: Time Travel and Free Will
pdf
202 kB
24.119_S19 Paradox and Infinity, Lecture Note 18: Non-computable Functions I

Course Info

Instructor

Departments

As Taught In

Spring 2019

Level

Undergraduate

Course Info

Instructor

Departments

As Taught In

Spring 2019

Level

Undergraduate

Topics

Topics

Learning Resource Types

Lecture Notes
Problem Sets
Download Course
MIT Open Learning
Over 2,500 courses & materials
Freely sharing knowledge with learners and educators around the world. Learn more
© 2001–2026 Massachusetts Institute of Technology
Accessibility
Creative Commons License
Terms and Conditions
Proud member of:
© 2001–2026 Massachusetts Institute of Technology