Tuesday, September 08, 2009

Faith in numbers ...

... God & Math. (Hat tip, Dave Lull.)
... Livio quotes numerous 20th- and 21st-century mathematicians who believe in the Platonic view. In the folksy articulation of contemporary mathematician Martin Gardner: "If two dinosaurs joined two other dinosaurs in a clearing, there would be four there, even though no humans were around to observe it, and the beasts were too stupid to know it." Bolstering this conviction is what Nobel laureate physicist Eugene Wigner famously called "the unreasonable effectiveness of mathematics." If mathematics is merely a human construct, why do scientists keep discovering that nature conforms to these invented games? This is most strikingly brought home through the predictive powers of mathematics.
See also Mark Vernon's Plato's Dialogues, part 6: The philosophical school.

One lecture that was delivered by Plato was on "The Good". We know about it because whilst the audience arrived thinking they might learn something about the good life, they were actually subjected to a celebration of mathematics. They should have known better: "Let no one unskilled in geometry enter," was purportedly written over the entrance. Plato would have put geometry at the top of Philosophy 101.


3 comments:

  1. I really do recommend the Livio book, Frank. The "God" in the title is a little bit of a sales gimmick, I think, because it's not really something that comes up in the book much, but it's a great book.

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  2. I'm very much a reluctant believer of platonic views... I *don't want* it to be true, but I can't think of anything to disprove why it is. Damn.

    The question of where a circle *is* is the same, in my mind, as where a poem *is* before it's written.

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  3. But where *do* circles live without any brains to think about them?!

    I'm supposed to be working here...

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