Set Theory Lecture Notes by Jonathan Pila
File Type :PDF Number of Pages :43
Description This note covers the following
topics related to Set theory: Language of Set Theory and the first axioms, The
Power set axiom, The Axiom of Infinity and the natural numbers, Recursion on the
natural numbers, Arithmetic on the natural numbers, The axioms of Replacement
and Foundation, Cardinality, Finite sets and countable sets, Basic cardinal
arithmetic, Well-orders, Ordinal numbers, Transfinite induction and recursion,
Ordinal arithmetic, The Axiom of Choice, Cardinal numbers and more cardinal
arithmetic.
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