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Handbook of the History and Philosophy of Mathematical Practice最新文献

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One Mathematic(s) or Many? Foundations of Mathematics in 20th Century Mathematical Practice 一门还是多门?20世纪数学实践中的数学基础
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 2023-01-18 DOI: 10.1007/978-3-030-19071-2_28-1
A. Rodin
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引用次数: 0
Is Mathematics Connected to Religion? 数学与宗教有关吗?
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 2021-12-11 DOI: 10.1007/978-3-030-19071-2_77-1
S. Krajewski
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引用次数: 0
An Ethnoarithmetic Excursion into the Javanese Calendar 爪哇历法的民族算术考察
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 2020-12-18 DOI: 10.1007/978-3-030-19071-2_82-1
N. Karjanto, F. Beauducel
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引用次数: 1
Bayesian Perspectives on Mathematical Practice 数学实践中的贝叶斯观点
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 2020-11-19 DOI: 10.1007/978-3-030-19071-2_84-1
James Franklin
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引用次数: 1
Reverse Mathematics 反向数学
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 2019-09-24 DOI: 10.1515/9781400889037
J. Stillwell
{"title":"Reverse Mathematics","authors":"J. Stillwell","doi":"10.1515/9781400889037","DOIUrl":"https://doi.org/10.1515/9781400889037","url":null,"abstract":"Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. Reverse mathematics began as a technical field of mathematical logic, but its main ideas have precedents in the ancient field of geometry and the early twentieth-century field of set theory. This book offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic. It concludes that mathematics is an arena where theorems cannot always be proved outright, but in which all of their logical equivalents can be found. This creates the possibility of reverse mathematics, where one seeks equivalents that are suitable as axioms. By using a minimum of mathematical logic in a well-motivated way, the book will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.","PeriodicalId":291052,"journal":{"name":"Handbook of the History and Philosophy of Mathematical Practice","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124044943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 41
A Tale of Three Cities: Thebes, Babylon, and Alexandria 三城传说:底比斯、巴比伦和亚历山大
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-19071-2_100-1
Maurice O. Burke
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引用次数: 0
Mathematics Education Research on Mathematical Practice 基于数学实践的数学教育研究
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-19071-2_88-1
Keith Weber, M. Inglis
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引用次数: 1
The Ethics of Mathematical Practice 数学实践的伦理学
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-19071-2_9-1
Paul Ernest
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引用次数: 4
Bolzano’s Theory of meßbare Zahlen: Insights and Uncertainties Regarding the Number Continuum Bolzano的me - bare Zahlen理论:关于数字连续体的洞见和不确定性
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-19071-2_96-1
Elías Fuentes Guillén
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引用次数: 2
The Nature of Mathematical Objects 数学对象的本质
Handbook of the History and Philosophy of Mathematical Practice Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-19071-2_20-1
Carlo Cellucci
{"title":"The Nature of Mathematical Objects","authors":"Carlo Cellucci","doi":"10.1007/978-3-030-19071-2_20-1","DOIUrl":"https://doi.org/10.1007/978-3-030-19071-2_20-1","url":null,"abstract":"","PeriodicalId":291052,"journal":{"name":"Handbook of the History and Philosophy of Mathematical Practice","volume":"459 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120897410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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