{"title":"凯撒问题——一个零敲碎打的解决方案","authors":"J P Studd","doi":"10.1093/philmat/nkad006","DOIUrl":null,"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":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Caesar Problem — A Piecemeal Solution\",\"authors\":\"J P Studd\",\"doi\":\"10.1093/philmat/nkad006\",\"DOIUrl\":null,\"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\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophia Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/philmat/nkad006\",\"RegionNum\":1,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophia Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/philmat/nkad006","RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
引用次数: 0
摘要
凯撒问题出现在抽象主义的观点中,它试图通过规定“未混合”的身份上下文的内容,如“$\#X = \#Y$”,来确保对诸如“$X$s的数量”或“$\#X$”等术语的引用。弗雷格反对说,这一规定没有提到“混合”上下文,如“$\# X = \text{Julius Caesar}$”。本文为对凯撒问题的一种被忽视的回应进行了辩护:混合上下文的内容与非混合上下文的内容一样可以规定。
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.
期刊介绍:
Philosophia Mathematica is the only journal in the world devoted specifically to philosophy of mathematics. The journal publishes peer-reviewed new work in philosophy of mathematics, the application of mathematics, and computing. In addition to main articles, sometimes grouped on a single theme, there are shorter discussion notes, letters, and book reviews. The journal is published online-only, with three issues published per year.