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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


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


The bibliography will include academic references and recomendations for relevant books and articles.

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