{"title":"Constructive Mathematics","authors":"Mark Mandelkern","doi":"arxiv-2404.05743","DOIUrl":null,"url":null,"abstract":"An age-old controversy in mathematics concerns the necessity and the\npossibility of constructive proofs. The controversy has been rekindled by\nrecent advances which demonstrate the feasibility of a fully constructive\nmathematics. This nontechnical article discusses the motivating ideas behind\nthe constructive approach to mathematics and the implications of constructive\nmathematics for the history of mathematics.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-03","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-2404.05743","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
An age-old controversy in mathematics concerns the necessity and the
possibility of constructive proofs. The controversy has been rekindled by
recent advances which demonstrate the feasibility of a fully constructive
mathematics. This nontechnical article discusses the motivating ideas behind
the constructive approach to mathematics and the implications of constructive
mathematics for the history of mathematics.
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