Stage 37 · Beyond (Optional)
37.4.4 Proof by Contradiction
37.4 Mathematical Proof and Logic: Induction, Contradiction, and Construction
Point 4 of 5
37.4.4 Proof by Contradiction
Core ideaAssume the conclusion is false, push until you hit a contradiction, and that forces the original to be true, like proving √2 is irrational.
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.