Stage 37 · Beyond (Optional)
37.4.5 Construction and Counterexamples
37.4 Mathematical Proof and Logic: Induction, Contradiction, and Construction
Point 5 of 5
37.4.5 Construction and Counterexamples
Core ideaTo prove something exists, build one with your own hands, and to knock down a "for all" claim you only need a single counterexample.
Module goal. Make the why behind a result clear, master the language of mathematical statements and the three main styles of proof, and move from being able to compute to being able to prove.