Friday 15 July 2016

Lecture 02 - Axioms of Set Theory (Schuller's Geometric Anatomy of Theoretical Physics)

Video Lecture:



Summary of contents: epsilon-relation (member relation); Zermelo-Fraenkel axioms of set theory; Russel's paradox; existence and uniqueness of the empty set (standard textbook proof and formal proof); axioms on the existence of pair sets and union sets; examples; finite unions; functional relation and image; principle of restricted and universal comprehension; axiom of replacement; intersection and relative complement; power sets; infinity; the sets of natural and real numbers; axiom of choice; axiom of foundation.

Full lecture notes (work in progress): click here

Lecture Notes for this lecture:

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