Maths Essay

1177 words - 5 pages

Writing about music, the saying goes, is like dancing about architecture. The implication is that even trying is futile and likely to make the person doing so look absurd.The line has been attributed to various musicians over the years - wrongly, as it happens, though understandably, given how little of what they do while playing can be communicated in words to people who don't know their way around an instrument. I don't know if mathematicians have an equivalent proverb, but the same principle applies. Even more strictly, perhaps, since most nonmathematicians can't even tell when things go out of tune. And in many of the higher realms, math drifts far from any meaning that could ever be expressed outside whatever latticework of symbols has been improvised for the occasion. (Kind of like if Sun Ra went back to performing on his home planet.)Against all odds, however, there is good writing about music - as well as The Best Writing on Mathematics 2012, the third anthology that Mircea Pitici has edited for Princeton University Press in as many years. He is working toward a Ph.D. in mathematical education at Cornell University, and teaches math and writing there and at Ithaca College. A majority of the pieces come from journals such as Science, Nature, The Bulletin of the American Mathematical Society and The South African Journal of Philosophy, or from volumes of scholarly papers. But among the outliers is an article from The Huffington Post, as well as a chapter reprinted from an anthology called Dating Philosophy for Everyone: Flirting With the Big Ideas (Wiley-Blackwell, 2011)There's also a paper from the proceedings of the Fifth International Meeting of Origami Science, Mathematics, and Education, which opens with the sentence: "The field oforigami tessellations has seen explosive growth over the past 20 years."Chances are you did not know that. It came as news to me, anyway, and I cannot claim to have followed every step of the presentation, which concerns the algorithms for creating fantastically intricate designs (resembling woven cloth) out of single flat, uncut sheet of paper.The author, Robert J. Lang, is a retired specialist in lasers and optoelectronics; his standards of numeracy are a few miles above the national average, even if the math he's using is anything but stratospheric. But Lang is also an internationally exhibited origami artist. The images of his work accompanying the article offer more than proof of what his formulas and diagrams can produce; they are elegant in a way that hints at the satisfaction the math itself must have yielded as he worked it out.Other papers make similar connections between mathematics and photography, dance, and (of course) music. But one of the themes turning up in various selections throughout the book is the specificity of what could be called mathematical pleasure itself, which can't really be compared to other kinds of aesthetic experience.In his essay "Why is There Philosophy of Mathematics at...

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