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Relatively Prime: Stories from the Mathematical Domain
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Description
Relatively Prime features stories and interviews from the mathematical world. Featuring math stories from people like Fields Medalists to indie rockers to linguists on topics ranging as wide as the artificial intelligence which defeated checkers and mathematics haiku battles. Relatively Prime has a mathematics story for anyone and everyone.
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I just recently discovered your podcast and have started listening to the very first couple of episodes. So far, I habe found them to be a fairly enjoyable way to keep my mind active during my daily 3hr commute. In terms of this particular episode, one of the mathematicians you interviewed (the one with lots of n-dimensional models strewn about his office), provided what he described as an "intellectual land-grab" definition of Mathematics. If my memory serves me correctly, I believed his definition was something to the effect of, 'mathematics is largely the sole construction of human intellect and that the edifice of maths does not require any reference to, or reliance upon, the real world'. I would tend to agree that pure mathematics is a truly abstracted - yet highly ordered and self-consistent conceptual framework - and I believe that no matter how hard one peers into the depths of mother nature, they will be remiss to find such a thing as a 'perfect circle'. The 'perfect circle'
Just a note that equal temperament is not the same as Pythagorean and thus modern instruments are not tuned using the Pythagorean tuning system. The reason why early polyphonic music focused more on intervals limited to fourths, fifths, and octaves are because of the inherent "dissonance" of basing temperament systems on harmonics (as was the Pythagorean system). While well-temperament took hold for some time (where the tuning system was closer to equal temperament but not quite), today we mainly use equal temperament. This is mainly due to convenience and to conserve intervals over entire registers.