Mathematics
Evidence is proof. Computation guides intuition but doesn't settle anything.
What counts as evidence: A rigorous proof, or a precisely stated and verified computational result.
- Start from a known theorem and change one condition — what breaks?
- Compute small cases, conjecture a pattern, then prove it.
- State definitions precisely before you use them.
- Expository work counts too: a clear proof of a hard result, written for your peers.