Surprisingly Better than 50-50

Surprisingly Better than 50-50

Jim Stein, Professor Emeritus of California State University Long Beach, discusses some bets that appear to be 50-50, but can have better odds with a tiny amount of seemingly useless information. Blackwell's Bet involves two envelopes of money. You can open only one. Which one do you choose? We learn about David Blackwell and his mathematical journey amid blatant racism. Another seeming 50-50 bet is guessing which of two unrelated events that you know nothing about is more likely; you can do better than 50-50 by taking just one sample of one of the events. Dr. Stein then discusses how mathematics shows up in some surprising places. Mathematics studied for the pure joy of it often finds surprising uses. He gives some examples from G. H. Hardy as well as his own research.

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Jaksot(79)

Zeno's Paradox: Is Motion Possible?

Zeno's Paradox: Is Motion Possible?

Josh Cole discussed Zeno's paradox that says motion is not possible since you must go half-way, and then half of the remaining distance, and so on, infinitely. Aristotle and others struggled with this...

22 Heinä 15min

The Most Beautiful Formula

The Most Beautiful Formula

Joseph Bennish discusses Euler’s formula, which involves pi, e, the imagery i, 0 and 1, a beautiful formula that unites disparate types of numbers. We can think of e raised to an exponent as compound ...

27 Kesä 16min

Math as it Should Be

Math as it Should Be

Aris Winger, Math Professor and Executive Director of the National Association of Mathematicians, has experienced first hand how math can save students' lives by uplifting them. Our education system c...

27 Touko 17min

Crocheting Mathematics

Crocheting Mathematics

Beyza Aslan, Associate Professor of Math at the University of North Florida, crochets mathematics. This turns abstractions, such as hyperbolic geometry, into something that can be touched, felt, manip...

22 Huhti 12min

Pythagorean Triples and Some New Conjectures

Pythagorean Triples and Some New Conjectures

Ben Cornish, host of The Mathematicians Podcast, discusses Pythagorean triples, integers that can be the sides of a right triangle. There are infinitely many primitive triples, as he proves. This conc...

25 Maalis 20min

Proofs and Buckets of Fish

Proofs and Buckets of Fish

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 fa...

25 Helmi 15min

Fractals: Simple rules, complex shapes

Fractals: Simple rules, complex shapes

Krystal Taylor, Associate Professor of Mathematics at Ohio State University, discussed the surprising characteristics of fractals, "infinity in a box." They may have fractional dimension, which varies...

28 Tammi 14min

The Many Facets of Math

The Many Facets of Math

Alon Amit addresses the various facets of mathematics. Is it an art or a science? Both? Neither? Is it invented or discovered? Why is math that's developed for purely aesthetic reasons so often a usef...

23 Huhti 202515min

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