Learning Path — Set Theory
Suggested preparation for Set Theory. Choose an entry point that fits your preparation.
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Entry / bridge route · Additional preparation for research reading · All paths
Entry / bridge route
Proofs & Mathematical Writing
Read quantified statements; write direct, contrapositive, contradiction and induction arguments.
Book of Proof — Richard Hammack. Direct open PDF
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Can skip if… / selective review
You can explain the quantifiers in a statement and write these forms of proof without relying on a worked solution.
Set Theory
Understand orders, cardinality, ordinals and the role of axioms.
Set Theory: An Open Introduction — Tim Button. Open online text / archive
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Can skip if… / selective review
You can distinguish countability, cardinality and order type; forcing-specific preparation is a separate step.
Research reading: additional tools
Choose according to the particular text, not as an obligation to complete every foundation again.