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Justified Epistemic Exclusions in Mathematics 数学中合理的认识论排除
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-04-18 DOI: 10.1093/philmat/nkad008
C. Rittberg
{"title":"Justified Epistemic Exclusions in Mathematics","authors":"C. Rittberg","doi":"10.1093/philmat/nkad008","DOIUrl":"https://doi.org/10.1093/philmat/nkad008","url":null,"abstract":"\u0000 Who gets to contribute to knowledge production of an epistemic community? Scholarship has focussed on unjustified forms of exclusion. Here I study justified forms of exclusion by investigating the phenomenon of so-called ‘cranks’ in mathematics. I argue that workload-management concerns justify the exclusion of these outsiders from mathematical knowledge-making practices. My discussion reveals three insights. There are reasons other than incorrect mathematical argument that justify exclusions from mathematical practices. There are instances in which mathematicians are justified in rejecting even correct mathematical arguments. Finally, the way mathematicians spot mathematical crankery does not support the pejorative connotations of the ‘crank’ terminology.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45722292","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 Caesar Problem — A Piecemeal Solution 凯撒问题——一个零敲碎打的解决方案
1区 哲学
Philosophia Mathematica Pub Date : 2023-04-12 DOI: 10.1093/philmat/nkad006
J P Studd
{"title":"The Caesar Problem — A Piecemeal Solution","authors":"J P Studd","doi":"10.1093/philmat/nkad006","DOIUrl":"https://doi.org/10.1093/philmat/nkad006","url":null,"abstract":"Abstract The Caesar problem arises for abstractionist views, which seek to secure reference for terms such as ‘the number of $X$s’ or $#X$ by stipulating the content of ‘unmixed’ identity contexts like ‘$#X = #Y$’. Frege objects that this stipulation says nothing about ‘mixed’ contexts such as ‘$# X = text{Julius Caesar}$’. This article defends a neglected response to the Caesar problem: the content of mixed contexts is just as open to stipulation as that of unmixed contexts.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135290162","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 Note on von Neumann Ordinals and Dependence 关于冯·诺伊曼序数及其依赖性的注记
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-03-24 DOI: 10.1093/philmat/nkad007
Jonas Werner
{"title":"A Note on von Neumann Ordinals and Dependence","authors":"Jonas Werner","doi":"10.1093/philmat/nkad007","DOIUrl":"https://doi.org/10.1093/philmat/nkad007","url":null,"abstract":"\u0000 This note defends the reduction of ordinals to pure sets against an argument put forward by Beau Madison Mount. In the first part I will defend the claim that dependence simpliciter can be reduced to immediate dependence and define a notion of predecessor dependence. In the second part I will provide and defend a way to model the dependence profile of ordinals akin to Mount’s proposal in terms of immediate dependence and predecessor dependence. I furthermore show that my alternative dependence profile allows us to single out the reduction of ordinals to von Neumann ordinals as the only viable set-theoretic reduction.","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46461402","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, Brice Halimi, Gerhard Heinzmann, Frédéric Patras, eds. Objectivity in mathematics/L’objectivité en mathématiques = =地理= =根据美国人口普查，这个县的土地面积为。数学中的客观性/数学中的客观性
IF 1.1 1区 哲学
Philosophia Mathematica Pub Date : 2023-02-28 DOI: 10.1093/philmat/nkad002
{"title":"Paola Cantù, Brice Halimi, Gerhard Heinzmann, Frédéric Patras, eds. Objectivity in mathematics/L’objectivité en mathématiques","authors":"","doi":"10.1093/philmat/nkad002","DOIUrl":"https://doi.org/10.1093/philmat/nkad002","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46591158","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
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
{"title":"Francesca Boccuni and Andrea Sereni, eds. Origins and Varieties of Logicism: On the Logico-Philosophical Foundations of Mathematics","authors":"","doi":"10.1093/philmat/nkad001","DOIUrl":"https://doi.org/10.1093/philmat/nkad001","url":null,"abstract":"","PeriodicalId":49004,"journal":{"name":"Philosophia Mathematica","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43461025","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
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":"1 1","pages":""},"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":" ","pages":""},"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":"191 1","pages":"0"},"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":" ","pages":""},"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":"1 1","pages":""},"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
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