发布求助
文献互助 智能选刊 最新文献

Philosophia Mathematica最新文献

筛选
英文 中文
Internal Applications and Puzzles of the Applicability of Mathematics 数学适用性的内部应用和困惑
1区 哲学
Philosophia Mathematica Pub Date : 2023-10-25 DOI: 10.1093/philmat/nkad019
Douglas Bertrand Marshall
{"title":"Internal Applications and Puzzles of the Applicability of Mathematics","authors":"Douglas Bertrand Marshall","doi":"10.1093/philmat/nkad019","DOIUrl":"https://doi.org/10.1093/philmat/nkad019","url":null,"abstract":"Abstract Just as mathematics helps us to represent and reason about the natural world, in its internal applications one branch of mathematics helps us to represent and reason about the subject matter of another. Recognition of the close analogy between internal and external applications of mathematics can help resolve two persistent philosophical puzzles concerning its applicability: a platonist puzzle arising from the abstractness of mathematical objects; and an empiricist puzzle arising from mathematical propositions’ lack of empirical factual content. In order to see how this is the case, we will examine what it is to apply mathematics internally and describe examples.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":"198 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135168582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sorin Bangu, Emiliano Ippoliti, and Marianna Antonutti Marfori, eds. Explanatory and Heuristic Power of Mathematics Sorin Bangu, Emiliano Ippoliti和Marianna Antonutti Marfori主编。数学的解释力和启发式力量
1区 哲学
Philosophia Mathematica Pub Date : 2023-10-16 DOI: 10.1093/philmat/nkad018
{"title":"Sorin Bangu, Emiliano Ippoliti, and Marianna Antonutti Marfori, eds. <i>Explanatory and Heuristic Power of Mathematics</i>","authors":"","doi":"10.1093/philmat/nkad018","DOIUrl":"https://doi.org/10.1093/philmat/nkad018","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":"73 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136079969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Are Large Cardinal Axioms Restrictive? 大基数公理是限制性的吗?
1区 哲学
Philosophia Mathematica Pub Date : 2023-09-24 DOI: 10.1093/philmat/nkad014
Neil Barton
{"title":"Are Large Cardinal Axioms Restrictive?","authors":"Neil Barton","doi":"10.1093/philmat/nkad014","DOIUrl":"https://doi.org/10.1093/philmat/nkad014","url":null,"abstract":"Abstract The independence phenomenon in set theory, while pervasive, can be partially addressed through the use of large cardinal axioms. A commonly assumed idea is that large cardinal axioms are species of maximality principles. In this paper I question this claim. I show that there is a kind of maximality (namely absoluteness) on which large cardinal axioms come out as restrictive relative to a formal notion of restrictiveness. Within this framework, I argue that large cardinal axioms can still play many of their usual foundational roles.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135925160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Elaine Landry.Plato Was Not a Mathematical Platonist 伊莱恩·兰德里。柏拉图不是数学柏拉图主义者
1区 哲学
Philosophia Mathematica Pub Date : 2023-09-16 DOI: 10.1093/philmat/nkad016
Colin McLarty
{"title":"Elaine Landry.<i>Plato Was Not a Mathematical Platonist</i>","authors":"Colin McLarty","doi":"10.1093/philmat/nkad016","DOIUrl":"https://doi.org/10.1093/philmat/nkad016","url":null,"abstract":"Journal Article Elaine Landry.Plato Was Not a Mathematical Platonist Get access Elaine Landry*Plato Was Not a Mathematical Platonist. Cambridge Elements in the Philosophy of Mathematics. Cambridge University Press, 2023. Pp. 48. ISBN: 978-0-19-966262-3 (online). Colin McLarty Colin McLarty Departments of Philosophy and of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A colin.mclarty@case.edu https://orcid.org/0000-0002-3181-7537 Search for other works by this author on: Oxford Academic Google Scholar Philosophia Mathematica, nkad016, https://doi.org/10.1093/philmat/nkad016 Published: 16 September 2023","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135306043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mark Jay Steiner May 6, 1942 – April 6, 2020 Mark Jay Steiner 1942年5月6日- 2020年4月6日
1区 哲学
Philosophia Mathematica Pub Date : 2023-09-16 DOI: 10.1093/philmat/nkad015
Yemima Ben-Menahem, Carl Posy
{"title":"Mark Jay Steiner May 6, 1942 – April 6, 2020","authors":"Yemima Ben-Menahem, Carl Posy","doi":"10.1093/philmat/nkad015","DOIUrl":"https://doi.org/10.1093/philmat/nkad015","url":null,"abstract":"Journal Article Mark Jay Steiner May 6, 1942 – April 6, 2020 Get access Yemima Ben-Menahem, Yemima Ben-Menahem The Hebrew University of Jerusalem E-mail: yemima.ben-menahem@mail.huji.ac.il. https://orcid.org/0009-0007-3632-3820 Search for other works by this author on: Oxford Academic Google Scholar Carl Posy Carl Posy The Hebrew University of Jerusalem E-mail: carl.posy@mail.huji.ac.il. https://orcid.org/0000-0002-8047-8527 Search for other works by this author on: Oxford Academic Google Scholar Philosophia Mathematica, nkad015, https://doi.org/10.1093/philmat/nkad015 Published: 16 September 2023","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135306040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
No Easy Road to Impredicative Definabilism 通往令人印象深刻的挑战之路并不容易
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-09-10 DOI: 10.1093/philmat/nkad013
Øystein Linnebo, Sam Roberts
{"title":"No Easy Road to Impredicative Definabilism","authors":"Øystein Linnebo, Sam Roberts","doi":"10.1093/philmat/nkad013","DOIUrl":"https://doi.org/10.1093/philmat/nkad013","url":null,"abstract":"Bob Hale has defended a new conception of properties that is broadly Fregean in two key respects. First, like Frege, Hale insists that every property can be defined by an open formula. Second, like Frege, but unlike later definabilists, Hale seeks to justify full impredicative property comprehension. The most innovative part of his defense, we think, is a “definability constraint” that can serve as an implicit definition of the domain of properties. We make this constraint formally precise and prove that it fails to characterize the domain uniquely. Thus, we conclude, there is no easy road to impredicative definabilism.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":"5 2","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71435176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Algorithms, Effective Procedures, and Their Definitions 论算法、有效程序及其定义
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-07-29 DOI: 10.1093/philmat/nkad011
Philippos Papayannopoulos
{"title":"On Algorithms, Effective Procedures, and Their Definitions","authors":"Philippos Papayannopoulos","doi":"10.1093/philmat/nkad011","DOIUrl":"https://doi.org/10.1093/philmat/nkad011","url":null,"abstract":"\u0000 I examine the classical idea of ‘algorithm’ as a sequential, step-by-step, deterministic procedure (i.e., the idea of ‘algorithm’ that was already in use by the 1930s), with respect to three themes, its relation to the notion of an ‘effective procedure’, its different roles and uses in logic, computer science, and mathematics (focused on numerical analysis), and its different formal definitions proposed by practitioners in these areas. I argue that ‘algorithm’ has been conceptualized and used in contrasting ways in the above areas, and discuss challenges and prospects for adopting a final foundational theory of (classical) ‘algorithms’.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49635820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Carl Posy and Yemima Ben-Menahem, eds. Mathematical Objects, Knowledge and Applications: Essays in Memory of Mark Steiner 卡尔·波西和叶玛·本·梅纳赫姆编。数学对象、知识与应用:纪念马克·斯坦纳论文
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-06-23 DOI: 10.1093/philmat/nkad012
{"title":"Carl Posy and Yemima Ben-Menahem, eds. Mathematical Objects, Knowledge and Applications: Essays in Memory of Mark Steiner","authors":"","doi":"10.1093/philmat/nkad012","DOIUrl":"https://doi.org/10.1093/philmat/nkad012","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43472816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Paola Cantù and Italo Testa, guest editors. Mathematical Practice and Social Ontology 保拉Cantù和伊塔洛·泰斯塔，客座编辑。数学实践与社会本体论
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-06-01 DOI: 10.1093/philmat/nkad010
{"title":"Paola Cantù and Italo Testa, guest editors. Mathematical Practice and Social Ontology","authors":"","doi":"10.1093/philmat/nkad010","DOIUrl":"https://doi.org/10.1093/philmat/nkad010","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47005865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Critique of Yablo’s If-thenism 对雅布洛的If-thenism的批判
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-05-26 DOI: 10.1093/philmat/nkad009
Bradley Armour-Garb, F. Kroon
{"title":"A Critique of Yablo’s If-thenism","authors":"Bradley Armour-Garb, F. Kroon","doi":"10.1093/philmat/nkad009","DOIUrl":"https://doi.org/10.1093/philmat/nkad009","url":null,"abstract":"\u0000 Using ideas proposed in Aboutness and developed in ‘If-thenism’, Stephen Yablo has tried to improve on classical if-thenism in mathematics, a view initially put forward by Bertrand Russell in his Principles of Mathematics. Yablo’s stated goal is to provide a reading of a sentence like ‘The number of planets is eight’ with a sort of content on which it fails to imply ‘Numbers exist’. After presenting Yablo’s framework, our paper raises a problem with his view that has gone virtually unnoticed in the literature. If we are right, then Yablo’s version of if-thenism cannot succeed.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44222472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
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
请完成安全验证×
相关产品
×
本文献相关产品
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 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信