Archive for logic

CG. Graham’s Number

April 9, 2007 · errata, logic, numbers, The Mathcast

Graham’s number is truly, absolutely staggering…

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Grahams Number [ 11:26 ] Play Now | Play in Popup | Download

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BA. The Ring is Exchanged

August 14, 2006 · answers, guests, logic, The Mathcast

Peter Winkler answers his puzzle set in the Land of Kleptomaniacs, and we chat about Martin Gardner. We'll pose another puzzle next week!

[ 4:52 ] Play Now | Play in Popup | Download

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AZ. Another puzzle from Peter Winkler

August 7, 2006 · Favorites, guests, logic, math puzzles, The Mathcast

We answer last week's puzzle and Peter Winkler asks how to send a ring through the land of the kleptomaniacs.

[ 3:20 ] Play Now | Play in Popup | Download

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AM. Arrow's Theorem

April 2, 2006 · answers, logic, math puzzles, The Mathcast

Can A be better than B, B be better than C and C be better than A? No voting system will ever be fair!

Standard Podcast [ 8:59 ] Play Now | Play in Popup | Download

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AK. Paradoxes and Liars

March 21, 2006 · answers, logic, math puzzles, paradoxes, The Mathcast

The mathematics of gossiping!

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Standard Podcast [ 4:24 ] Play Now | Play in Popup | Download

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AJ. The Pop Quiz

March 13, 2006 · answers, logic, math puzzles, paradoxes, The Mathcast

Why 462 is the least interesting number less than 1000, and the students get a paradoxical pop quiz.

(plus, the answer to the census taker’s puzzle)

Standard Podcast [ 4:53 ] Play Now | Play in Popup | Download

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AH. QED

January 2, 2006 · infinity, logic, paradoxes, The Mathcast

There are vastly many more real numbers than fractions!

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Standard Podcast [ 4:53 ] Play Now | Play in Popup | Download

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AG. The Eagle

December 17, 2005 · answers, calculusey stuff, infinity, logic, math puzzles, numbers, paradoxes, The Mathcast

How to do infinitely many things in a few minutes!

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Standard Podcast [ 6:17 ] Play Now | Play in Popup | Download

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AF. Counting All Rationals

December 6, 2005 · answers, Favorites, infinity, logic, math puzzles, numbers, paradoxes, The Mathcast

Are there more fractions than counting numbers?

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Standard Podcast [ 7:47 ] Play Now | Play in Popup | Download

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AD. Bigger and Smaller Infinities

November 14, 2005 · answers, infinity, logic, math puzzles, numbers, paradoxes, The Mathcast

Are there only half as many even numbers as counting numbers?

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Standard Podcast [ 7:51 ] Play Now | Play in Popup | Download

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