{"title":"A review of Alfred North Whitehead's \"Introduction to Mathematics\"","authors":"Thomas Hales","doi":"arxiv-2403.19675","DOIUrl":null,"url":null,"abstract":"In 1911, Alfred North Whitehead published a short book \"Introduction to\nMathematics\" (IM) intended for students wanting an explanation of the\nfundamental ideas of mathematics. Whitehead's IM has enduring value because it\nwas written not long after he and Bertrand Russell published their monumental\nthree-volume work \"Principia Mathematica\" (PM) -- a publication of immense\nhistorical significance for mathematics. IM sheds light on Whitehead's view of\nmathematics at that time. Whitehead's book places proofs in predicate logic as\nthe mythical starting point of mathematics, although Whitehead himself was slow\nto understand the significance of symbolic predicate logic.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"60 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-19","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-2403.19675","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
In 1911, Alfred North Whitehead published a short book "Introduction to
Mathematics" (IM) intended for students wanting an explanation of the
fundamental ideas of mathematics. Whitehead's IM has enduring value because it
was written not long after he and Bertrand Russell published their monumental
three-volume work "Principia Mathematica" (PM) -- a publication of immense
historical significance for mathematics. IM sheds light on Whitehead's view of
mathematics at that time. Whitehead's book places proofs in predicate logic as
the mythical starting point of mathematics, although Whitehead himself was slow
to understand the significance of symbolic predicate logic.