AM. Arrow's Theorem

FromThe Math Factor

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AM. Arrow's Theorem

FromThe Math Factor

ratings:

Length:

9 minutes

Released:

Apr 2, 2006

Format:

Podcast episode

Description

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

Released:

Apr 2, 2006

Format:

Podcast episode

Titles in the series (100)

A brief, weekly math conversation and puzzle, airing on KUAF 91.3 FM, Fayetteville Arkansas. Send your answers, comments, questions, puzzles, or cash, to mathfactor@uark.edu!

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AC. No Vacancy: A hotel with an infinite number of rooms... by The Math Factor
7 min listen
AN. More Sucker Bets: Is there always a better choice? by The Math Factor
6 min listen
AM. Arrow's Theorem: Can A be better than B, B be better than C and C be better than A? No voting system will ever be fair! by The Math Factor
9 min listen
AB. The Rational Ruler: Finer and finer, a ruler with infinitely many marks... by The Math Factor
7 min listen
AD. Bigger and Smaller Infinities: Are there only half as many even numbers as counting numbers? by The Math Factor
8 min listen
AE. The Jalopy: What is "average?" by The Math Factor
5 min listen
AA. The Way Out of the Forest: Which way leads out of the forest of Liars & Truth-tellers by The Math Factor
4 min listen
AY. Dollar Cost Averaging: A common investment strategy takes advantage of the subtleties of averaging. by The Math Factor
5 min listen
AI. Census Taker's Puzzle: More puzzles from the Mathfactor, featuring the mathematical stylings of KUAF's Kyle Kellams and Chaim Goodman-Strauss. by The Math Factor
4 min listen
AF. Counting All: Are the rationals rational? by The Math Factor
8 min listen
AQ. The Principle of Indifference Redux: The solution to the balls puzzle and a quick puzzle about cards. by The Math Factor
4 min listen
AO. Choosing Balls from A Bag: A fifty-fifty chance of drawing four blue balls from a bag: how many balls were blue? by The Math Factor
3 min listen
AG. The Eagle: How far does the eagle fly as it makes an infinite series of shorter and shorter trips? by The Math Factor
6 min listen
AH. QED: In this "secret track", we show there are vastly more real numbers than rationals! by The Math Factor
5 min listen
AJ. The Pop Quiz: Why 462 is the least interesting number less than 1000, and the students get a paradoxical pop quiz. by The Math Factor
5 min listen
BM. An astronomical cost!: The conclusion to the banana & camel puzzle. by The Math Factor
7 min listen
AU. Dennis Shasha asks about Polish Multiplication: Dennis Shasha, puzzle columnist for Scientific American, asks about a curious way to multiply numbers on your fingers. by The Math Factor
4 min listen
BF. Catching Errors: Credit card numbers have an error catching code, that uses the tricks of the last few weeks. by The Math Factor
5 min listen
AR. Quick Game: Two players take turns removing coins from a line; how can the first player always be sure to have at least as much money as the second? by The Math Factor
5 min listen
AV. Dennis Shasha Answers: The solution is a quick bit of algebra, but how do you explain it on the air? by The Math Factor
5 min listen
AL. Rumors and suckers: In which we show gossip is unreliable and how you can always fleece a sucker. by The Math Factor
6 min listen
AK. Paradoxes and Liars: The mathematics of gossiping! by The Math Factor
4 min listen
BK. Bananas and Rockets: A classic puzzle reveals why rockets require so much fuel, even for wee payloads. by The Math Factor
8 min listen
AS. A Puzzle From Peter Winkler: Peter Winkler, author of "Mathematical Puzzles: A Connoisseur's Collection", asks how many coins are needed to cover a table. by The Math Factor
5 min listen
AX. Averages are not what they seem!: Is a man of perfectly average height, and perfectly average weight, too heavy for his size? Averages are not what they seem to be. by The Math Factor
7 min listen
AW. Will we run out of Social Security Numbers?: When will the crisis come? When will we run out of Social Security Numbers, and other musings. by The Math Factor
5 min listen
BO. When did you say?: The solution, and a very easy puzzle. by The Math Factor
6 min listen
BH. The Poincaré Conjecture: Jeff Weeks, author of "The Shape of Space", discusses the hypersphere and the famous Poincaré Conjecture! by The Math Factor
8 min listen
BE. Trap door encryption: Is this podcast legally a "munition"? Old ideas in number theory are the basis for a whole new class of powerful encryption schemes that underlie the modern internet economy. by The Math Factor
10 min listen
AT. Peter Winkler Answers: Peter Winkler answers. Another puzzle next week! by The Math Factor
4 min listen

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HQ. Newton v Leibnitz: A break from puzzling to discuss the history of the great Newton-Liebnitz dispute over the invention of Calculus, with the playwright Todd Taylor. by The Math Factor
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The Math Factor Takes a Bow: We are taking the summer off (at a minimum) but check back in a while for new segments. And don't forget to drop us a line! by The Math Factor
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GY. Conversation with Greg Chaitin: A conversation with Greg Chaitin, creator of Chaitin's Omega and author, most recently, of MetaMath!! These ideas are well worth a close listen. by The Math Factor
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GW. Wolfram's Principle of Computational Equivalence: Stephen Wolfram, creator of Mathematica and author of A New Kind of Science describes a fundamental principle, showing how irreducible complexity arises even in simple systems. by The Math Factor
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AM. Arrow's Theorem

AM. Arrow's Theorem

Description

Titles in the series (100)

More Episodes from The Math Factor