This note describes the following topics:
Propositional calculus, Well orderings and ordinals, Posets and Zorns lemma,
Predicate logic, Set theory, Cardinals and incompleteness.
This PDF covers the
following topics related to Set Theory : Introduction, Well-orders and
Ordinals, Classes and Transfinite Recursion, Cardinals, Zorn’s Lemma,
Ramsey’s Theorem, Lo´s’s Theorem, Cumulative Hierarchy, Relativization,
Measurable Cardinals, Godel’s Constructible Universe, Banach-Tarski
Paradox.
This PDF covers
the following topics related to Set Theory : General considerations, Basic
concepts, Constructions in set theory, Relations and functions, Number
systems and set theory, Infinite constructions in set theory, The Axiom of
Choice and related properties, Set theory as a foundation for mathematics.