Syllabus

-- Basic Operations on Sets

-- Equinumerosity

-- Russell's Paradox, Axiomatic Foundations (ZFC)

-- Ordered Pairs, Relations, Functions

-- Natural Numbers: Existence, Uniqueness, Fundamental Properties - Induction and Recursion

-- Partially Ordered Sets - Fixed Point Theorems

-- Well-Ordered Sets: Fundamental Properties - Transfinite Induction and Recursion

-- Axiom of Choice and Equivalent Statements

-- Basic Cardinal Arithmetic

-- Axiom of Replacement, Ordinal Numbers: Basic Properties