List of set-theory notes:

• Cantor-Bernstein Theorem
• Infinite and Dedekind-infinite sets
• IDF and amorphous sets
• Cardinality
• Trichotomy
• Axiom of Choice
• Well-ordering
• Szpilrajn Extension Theorem
• Cantor's Theorem
• Zorn's Lemma
• Well-Ordering Principle
• Cardinal numbers
• Zermelo-Frankel Axioms
• Boolean algebra
• Filters and ultrafilters
• Dependent choice
• P-name hierarchy
• Transitive model
• Countable chain condition
• Generic extension model of ZFC
• Fundamental Theorem of Forcing
• Forcing not-CH
• Forcing notion
• Ordinal number
• Chajoth's Theorem
• Continuum Hypothesis
• Operations on ordinals
• Limits of ordinals
• Prime components of ordinals
• Divisors of ordinals
• Omniscience principles
• Condensation
• Linear order with successor
• Hartogs Number
• Interval of an ordering
• Order type
• Finite intersection property
• Lindenbaum Order-Embedding Theorem
• Finite lattice
• Product of lattices
• Distributive lattice
• Lattice
• Order type of the irrationals
• Kripke semantics