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Philosophia Mathematica最新文献

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Francesca Boccuni and Andrea Sereni, eds. Origins and Varieties of Logicism: On the Logico-Philosophical Foundations of Mathematics 博库尼、塞雷尼主编：《逻辑学的起源与变化：论数学的逻辑哲学基础》
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-02-25 DOI: 10.1093/philmat/nkad001
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引用次数: 0
Refocusing Frege’s Other Puzzle: A Response to Snyder, Samuels, and Shapiro 重新聚焦弗雷格的另一个困惑：对斯奈德、塞缪尔和夏皮罗的回应
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-02-20 DOI: 10.1093/philmat/nkad005
Thomas Hofweber
{"title":"Refocusing Frege’s Other Puzzle: A Response to Snyder, Samuels, and Shapiro","authors":"Thomas Hofweber","doi":"10.1093/philmat/nkad005","DOIUrl":"https://doi.org/10.1093/philmat/nkad005","url":null,"abstract":"\u0000 In their recent article ‘Resolving Frege’s other Puzzle’ Eric Snyder, Richard Samuels, and Stewart Shapiro defend a semantic type-shifting solution to Frege’s other Puzzle and criticize my own cognitive type-shifting solution. In this article I respond to their criticism and in turn point to several problems with their preferred solution. In particular, I argue that they conflate semantic function and semantic value, and that their proposal is neither based on general semantic type-shifting principles nor adequate to the data.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41616300","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
Sharon Berry.  A Logical Foundation for Potentialist Set Theory 莎朗·贝瑞。潜能集合论的逻辑基础
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-02-20 DOI: 10.1093/philmat/nkad004
Chris Scambler
{"title":"Sharon Berry.  A Logical Foundation for Potentialist Set Theory","authors":"Chris Scambler","doi":"10.1093/philmat/nkad004","DOIUrl":"https://doi.org/10.1093/philmat/nkad004","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44665871","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
Matthew Handelman.The Mathematical Imagination: On the Origins and Promise of Critical Theory 马太福音Handelman。数学想象:论批判理论的起源和前景
1区 哲学
Philosophia Mathematica Pub Date : 2023-01-05 DOI: 10.1093/philmat/nkac033
Mirna Džamonja
{"title":"Matthew Handelman.<i>The Mathematical Imagination: On the Origins and Promise of Critical Theory</i>","authors":"Mirna Džamonja","doi":"10.1093/philmat/nkac033","DOIUrl":"https://doi.org/10.1093/philmat/nkac033","url":null,"abstract":"Journal Article Matthew Handelman.The Mathematical Imagination: On the Origins and Promise of Critical Theory Get access Matthew Handelman.*The Mathematical Imagination: On the Origins and Promise of Critical Theory. Philosophy & Theory; 11. New York: Fordham University Press, 2019. Pp. 256. ISBN: 978-0-823283835. DOI: https://research.library.fordham.edu/philos/11. Mirna Džamonja Mirna Džamonja Institut de Recherche en Informatique Fondamentale (CNRS and Université de Paris Cité), 75205 Paris Cedex 13, France E-mail: mdzamonja@irif.fr https://orcid.org/0000-0002-6771-3975 Search for other works by this author on: Oxford Academic Google Scholar Philosophia Mathematica, Volume 31, Issue 2, June 2023, Pages 283–285, https://doi.org/10.1093/philmat/nkac033 Published: 05 January 2023","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135405874","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
Justin Clarke-Doane.  Mathematics and Metaphilosophy 贾斯汀Clarke-Doane。数学与哲学
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-09-06 DOI: 10.1093/philmat/nkac021
S. Pollard
{"title":"Justin Clarke-Doane.  Mathematics and Metaphilosophy","authors":"S. Pollard","doi":"10.1093/philmat/nkac021","DOIUrl":"https://doi.org/10.1093/philmat/nkac021","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45250488","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
Mirja HartimoHusserl and Mathematics Mirja HartimoHussell与数学
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-09-05 DOI: 10.1093/philmat/nkac020
Jairo José da Silva
{"title":"Mirja HartimoHusserl and Mathematics","authors":"Jairo José da Silva","doi":"10.1093/philmat/nkac020","DOIUrl":"https://doi.org/10.1093/philmat/nkac020","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41460284","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
Penelope Rush.Ontology and the Foundations of Mathematics: Talking Past Each Other. 佩内洛普·拉什。本体论与数学的基础:各执一词。
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-08-13 DOI: 10.1093/philmat/nkac018
G. Hellman
{"title":"Penelope Rush.Ontology and the Foundations of Mathematics: Talking Past Each Other.","authors":"G. Hellman","doi":"10.1093/philmat/nkac018","DOIUrl":"https://doi.org/10.1093/philmat/nkac018","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45968641","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
The Role of Imagination and Anticipation in the Acceptance of Computability Proofs: A Challenge to the Standard Account of Rigor 想象和预期在可计算性证明的接受中的作用:对标准严谨性描述的挑战
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-07-30 DOI: 10.1093/philmat/nkac015
Keith Weber
{"title":"The Role of Imagination and Anticipation in the Acceptance of Computability Proofs: A Challenge to the Standard Account of Rigor","authors":"Keith Weber","doi":"10.1093/philmat/nkac015","DOIUrl":"https://doi.org/10.1093/philmat/nkac015","url":null,"abstract":"\u0000 In a 2022 paper, Hamami claimed that the orthodox view in mathematics is that a proof is rigorous if it can be translated into a derivation. Hamami then developed a descriptive account that explains how mathematicians check proofs for rigor in this sense and how they develop the capacity to do so. By exploring introductory texts in computability theory, we demonstrate that Hamami’s descriptive account does not accord with actual mathematical practice with respect to computability theory. We argue instead for an alternative account in which imagination, anticipation, and interpretations of natural language play roles in establishing mathematical rigor.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44476200","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: 1
Thomas Macaulay Ferguson and Graham Priest, eds. Robert Meyer and Relevant Arithmetic 托马斯·麦考利·弗格森和格雷厄姆·普里斯特主编。罗伯特·迈耶和相关算术
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-07-15 DOI: 10.1093/philmat/nkac017
{"title":"Thomas Macaulay Ferguson and Graham Priest, eds. Robert Meyer and Relevant Arithmetic","authors":"","doi":"10.1093/philmat/nkac017","DOIUrl":"https://doi.org/10.1093/philmat/nkac017","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43105150","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
Gödel’s Disjunctive Argument 哥德尔的虚拟论证
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2022-07-09 DOI: 10.1093/philmat/nkac013
Wesley Wrigley
{"title":"Gödel’s Disjunctive Argument","authors":"Wesley Wrigley","doi":"10.1093/philmat/nkac013","DOIUrl":"https://doi.org/10.1093/philmat/nkac013","url":null,"abstract":"\u0000 Gödel argued that the incompleteness theorems entail that the mind is not a machine, or that certain arithmetical propositions are absolutely undecidable. His view was that the mind is not a machine, and that no arithmetical propositions are absolutely undecidable. I argue that his position presupposes that the idealized mathematician has an ability which I call the recursive-ordinal recognition ability. I show that we have this ability if, and only if, there are no absolutely undecidable arithmetical propositions. I argue that there are such propositions, but that no recognizable example of one can be identified, even in principle.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48118638","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
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