形式数学中的算法与抽象

arXiv - MATH - History and Overview Pub Date : 2024-05-07 DOI:arxiv-2405.04699

Heather Macbeth

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引用次数: 0

摘要

我分析了传统散文式数学写作与计算机正规化数学写作在风格上的差异，并介绍了五个案例研究。我注意到两者在两个方面的风格似乎有所不同：一是计算的融入，二是抽象化。我认为这反映了形式化数学不同的数学美学。

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Algorithm and abstraction in formal mathematics

I analyse differences in style between traditional prose mathematics writing and computer-formalised mathematics writing, presenting five case studies. I note two aspects where good style seems to differ between the two: in their incorporation of computation and of abstraction. I argue that this reflects a different mathematical aesthetic for formalised mathematics.

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arXiv - MATH - History and Overview

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