← All lessonsEvidence and Proof · Lesson 1
Mathematics: Can you prove it?
Mathematics: what a proof gives us that measuring, or trying again and again, can’t.
ExperimentThe broken chessboardTwo opposite corners are cut off. Can 31 dominoes cover the other 62 squares?ExplainerWhat counts as proof?A4 paper and √2, the broken chessboard, and proof in mathematics compared with other areas of knowledge.HomeworkThe Monty Hall problemHomework. Predict first, then play 20 rounds sticking and 20 switching.JournalClimbing the staircaseFrom “Is A4 exactly √2?” up to the knowledge question about proof.