This note explains the following
topics: The language of set theory and well-formed formulas, Classes vs. Sets,
Notational remarks, Some axioms of ZFC and their elementary, Consequences, From
Pairs to Products, Relations, Functions, Products and sequences, Equivalence
Relations and Order Relations, Equivalence relations, partitions and
transversals, A Game of Thrones, Prisoners and Hats, Well-orders, Well-founded
relations and the Axiom of Foundation, Natural Numbers, The construction of the
set of natural numbers, Arithmetic on the set of natural numbers, Equinumerosity,
Finite sets, To infinity and beyond, Construction of various number systems,
Integers, Rational numbers, Real numbers, Ordinal numbers.

**Author(s):** Burak Kaya

91**Pages**