A review of Alfred North Whitehead's "Introduction to Mathematics"

Thomas Hales
{"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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
对阿尔弗雷德-诺斯-怀特海的 "数学导论 "的评论
1911 年,阿尔弗雷德-诺斯-怀特海出版了一本短书《数学导论》(Introduction toMathematics,IM),旨在向学生解释数学的基本思想。怀特海的《数学导论》具有经久不衰的价值,因为这是在他和伯特兰-罗素出版了不朽的三卷本著作《数学原理》(Principia Mathematica)之后不久写成的。IM 揭示了怀特海当时对数学的看法。怀特海在书中把谓词逻辑中的证明作为数学神话般的起点,尽管怀特海本人对符号谓词逻辑的意义理解得很慢。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Roger Godement et les fonctions de type positif Winning Lights Out with Fibonacci A Mathematical Model of The Effects of Strike On Nigerian Universities Generalized Carlos Scales Samgamagrāma Mādhava: An Updated Biography
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1