Set Theory
by Thomas Jech · Springer
Set Theory - A book resource
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More resources on Set Theory Axioms
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
plato.stanford.edu
The Stanford Encyclopedia of Philosophy is a peer‑reviewed online encyclopedia of philosophy featuring in‑depth, scholarly articles written and regularly updated by experts, including comprehensive coverage of logic topics.
PlanetMath: Zermelo-Fraenkel Axioms
PlanetMath encyclopedia entry stating the Zermelo–Fraenkel axioms of set theory: extensionality, pairing, union, power set, infinity, separation, replacement, and foundation, with a note on adding choice to obtain ZFC. A compact reference for each axiom's precise content.
Stanford Encyclopedia of Philosophy - Set Theory
Joan Bagaria's peer-reviewed Stanford Encyclopedia of Philosophy entry surveying modern set theory: the ZFC axioms, ordinals and cardinals, the continuum hypothesis, forcing and independence results, large cardinals, and determinacy. Readers gain a map of the field's central questions and results.
Set Theory: An Open Introduction
Free CC BY textbook from the Open Logic Project. Chapter 4 covers function basics, kinds of functions, functions reduced to relations, inverses and composition; Chapter 5 uses bijections for enumerability, Cantor's theorem and Schroder-Bernstein.
Set Theory: An Introduction to Independence Proofs
Graduate text that develops ZFC from the axioms through ordinals, cardinals, infinitary combinatorics and Martin's axiom, then constructible sets and forcing. Readers who finish it can follow and construct consistency proofs, including the independence of the continuum hypothesis.