Course: Set Theory and Finite Structures
This course on set theory and finite structures is an attempt to better understand certain questions on the foundations of mathematics including Benacerraf's Identification Problem and Hilbert's 24-th Problem. A Canonical Set Theory is proposed for a simple and transparent construction of natural numbers. This set theory also gives new results that tie together set theory, finite mathematics, group theory, number theory and analysis.
Course Material
Video Lectures
Notes
Supplementary Material
The supplementary material includes examples, problem sets, extra topics, detailed proofs and external references to books, videos, reviews, essays and more.
Examples and Problem Sets
External Links
Bibliography
The bibliography will include academic references and recomendations for relevant books and articles.