The Meaning of Proofs

The Meaning of Proofs Mathematics as Storytelling

Paperback (03 Oct 2022)

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Publisher's Synopsis

In The Meaning of Proofs, mathematician Gabriele Lolli argues that to write a mathematical proof is tantamount to inventing a story. Lolli offers not instructions for how to write mathematical proofs, but a philosophical and poetic reflection on mathematical proofs as narrative. Mathematics, imprisoned within its symbols and images, Lolli writes, says nothing if its meaning is not narrated in 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 not the mere manipulation of formulas.

Book information

ISBN: 9780262544269
Publisher: The MIT Press
Imprint: The MIT Press
Pub date:
DEWEY: 511.36
DEWEY edition: 23
Language: English
Number of pages: xviii, 157
Weight: 214g
Height: 133mm
Width: 202mm
Spine width: 16mm