Proofs and Buckets of Fish
About this episode
Joel David Hamkins discusses the game Buckets of Fish and presents a proof that it will always come to an end using various mathematical techniques.
Joel David Hamkins, author of Proof and the Art of Mathematics, presents the game Buckets of Fish, which seemingly will go on forever. Yet he presents a proof that it will always come to an end. In fact, he proves it using contradiction, mathematical induction, and even transfinite ordinals. Why do mathematicians like to do multiple proofs of a single statement? He also gives a winning strategy for the game and proves it works.
More episodes of The Art of Mathematics
- Math as it Should Be
- Pythagorean Triples and Some New Conjectures
- Fractals: Simple rules, complex shapes
- The Many Facets of Math
- Will AI Replace Mathematicians?
- The National Museum of Mathematics
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