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The Meaning of Proofs is a philosophical and poetic reflection on mathematical proofs as narrative - with mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. The minute mathematicians open their mouths to explain something—the meaning of x, how to find y—they are framing a narrative.
Every proof is the story of an adventure, writes Lolli, a journey into an unknown land to open a new, connected route; once the road is open, we correct it, expand it. Just as fairy tales offer a narrative structure in which new characters can be inserted into recurring forms of the genre in original ways, in mathematics, each new abstract concept is the protagonist of a different theory supported by the general techniques of mathematical reasoning. In ancient Greece, there was more than an analogy between literature and mathematics, there was direct influence. Euclid’s proofs have roots in poetry and rhetoric. Mathematics, Lolli asserts, is far from being the mere manipulation of formulas.
Paperback, 176 pages.
Measures 13.3 x 20.3 cm.