{"title":"Algorithm and abstraction in formal mathematics","authors":"Heather Macbeth","doi":"arxiv-2405.04699","DOIUrl":null,"url":null,"abstract":"I analyse differences in style between traditional prose mathematics writing\nand computer-formalised mathematics writing, presenting five case studies. I\nnote two aspects where good style seems to differ between the two: in their\nincorporation of computation and of abstraction. I argue that this reflects a\ndifferent mathematical aesthetic for formalised mathematics.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"119 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.04699","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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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