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  3. Matematik

The Meaning of Proofs

- Mathematics as Storytelling
Af: Gabriele Lolli, Bonnie Mcclellan-Broussard Engelsk Paperback

The Meaning of Proofs

- Mathematics as Storytelling
Af: Gabriele Lolli, Bonnie Mcclellan-Broussard Engelsk Paperback
Tjek vores konkurrenters priser
Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story.

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.
 
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Why mathematics is not merely formulaic: an argument that to write a mathematical proof is tantamount to inventing a story.

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.
 
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 176
ISBN-13: 9780262544269
Indbinding: Paperback
Udgave:
ISBN-10: 0262544261
Kategori: Matematik
Udg. Dato: 27 sep 2022
Længde: 16mm
Bredde: 202mm
Højde: 133mm
Forlag: MIT Press Ltd
Oplagsdato: 27 sep 2022
Forfatter(e): Gabriele Lolli, Bonnie Mcclellan-Broussard
Forfatter(e) Gabriele Lolli, Bonnie Mcclellan-Broussard

Kategori Matematik

ISBN-13 9780262544269

Sprog Engelsk

Indbinding Paperback

Sider 176

Udgave

Længde 16mm

Bredde 202mm

Højde 133mm

Udg. Dato 27 sep 2022

Oplagsdato 27 sep 2022

Forlag MIT Press Ltd

Kategori sammenhænge