Paradox and Infinity

Lecture Notes

NOTE #	TOPICS
1	The Cantorian Theory of Size (Part I) (PDF)
2	The Cantorian Theory of Size (Part II) (PDF)
3	The Ordinals (Part I) (PDF)
4	The Ordinals (Part II) (PDF)
5	Ordinals as Blueprints (PDF)
6	Omega-Sequence Paradoxes (Part I) (PDF)
7	Omega-Sequence Paradoxes (Part II) (PDF)
8	Time Travel (PDF)
9	Time Travel and Free Will (PDF)
10	Newcomb’s Problem (PDF)
11	Probability, Subjective and Objective (PDF)
12	Countable Additivity (PDF)
13	Measure Theory (PDF)
14	The Vitali Sets (PDF)
15	Banach-Tarski: Preliminaries (PDF)
16	Banach-Tarski: The Theorem (PDF)
17	Computability: Turing Machines (PDF)
18	Non-Computable Functions (Part I) (PDF)
19	Non-Computable Functions (Part II) (PDF)
20	Gödel’s Theorem (Part I) (PDF)
21	Gödel’s Theorem (Part II) (PDF)