凯撒问题

IF 0.8 1区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Philosophia Mathematica Pub Date : 2025-03-04 DOI:10.1093/philmat/nkaf002

Francesca Boccuni, Luca Zanetti

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引用次数: 0

摘要

休谟原理（HP）不能决定像“$ \#F $ = Caesar”这样的“混合”身份陈述的真值。这就是凯撒问题（CP）。然而，像Hale和Wright这样的新词学者认为(1)HP是先验的，(2)HP引入了纯粹排序概念Number。我们认为新语学面临一个凯撒问题（Caesar- Problem Problem， CPP）：如果新语学家通过建立“$ \#F\neq $ Caesar”为真来解决CPP，则(1)和(2)不能同时保留。我们检查了新词学家可能提供的各种回应，并表明他们没有解决CPP问题。我们的结论是，CP揭示了新词中一种致命的张力。

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The Caesar-problem Problem

Hume’s Principle (HP) does not determine the truth values of ‘mixed’ identity statements like ‘$ \#F $ = Caesar’. This is the Caesar Problem (CP). Still, neologicists such as Hale and Wright argue that (1) HP is a priori, and (2) HP introduces the pure sortal concept Number. We argue that Neologicism faces a Caesar-problem Problem (CPP): if neologicists solve CP by establishing that ‘$ \#F\neq $ Caesar’ is true, (1) and (2) cannot be retained simultaneously. We examine various responses neologicists might provide and show that they do not address CPP. We conclude that CP uncovers a fatal tension in Neologicism.

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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.