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First 30 days

The first month is deliberately narrow: precise claims, proofs, limits, and models.

Week Focus Output
1 Sets, logic, quantifiers Formalize and negate technical requirements
2 Direct / contrapositive / contradiction Three short proofs + error log
3 Counterexamples, induction, invariants Safety invariant for a toy process
4 Limits and continuity Model a sensor with saturation / dead zones

Start: Mathematical reasoning + proof.