35.5.5 The "Getting Infinitely Close" Intuition in Reasoning
Core idea"As close as you like" is itself a claim: a warm-up for pinning down limits with ε in the next stage.
Module goal. Link conditions, quantifiers, and negation into reasoning — using counterexamples, the contrapositive, and proof by contradiction — and pave the way for rigorous arguments about sequences and function limits.