{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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":" ","pages":""},"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}