Math Foundations · math·3 · optional — later units don't wait for this

Proof and mathematical thinking

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Optional unit on how proofs work and why they matter — what proof actually is as a cognitive activity. Take it if Unit 1 leaves you wanting to read math at a technical level or write proofs rather than read summaries; skip otherwise.

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done when you can

Write a proof by induction, by contradiction, by construction.Read a theorem statement and restate it in your own words.Follow a proof line by line without losing track.

resources

○How to Prove It— Daniel J. Vellemananchor · book
○How to Solve It— George Pólyacompanion · book

sessions

unlocks The ability to read primary sources (Bell's original papers, Gödel's original paper) rather than popularizations.

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