凯撒问题——一个零敲碎打的解决方案

IF 0.8 1区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Philosophia Mathematica Pub Date : 2023-04-12 DOI:10.1093/philmat/nkad006

J P Studd

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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。

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The Caesar Problem — A Piecemeal Solution

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.

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来源期刊

Philosophia Mathematica HISTORY & PHILOSOPHY OF SCIENCE-

CiteScore

1.70

自引率

9.10%

发文量

审稿时长

>12 weeks

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.