物理可能性与行列式数论

IF 0.8 1区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE
Sharon Berry
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引用次数: 1

摘要

目前流行的做法是认真对待Putnamian模型理论对数学的担忧,而不是对普通物理物体和科学的讨论。然而,我认为(在某些温和的假设下)仅仅确保对物理可能性的确定引用就足以排除Putnam所援引的对我们的数字谈话的非标准解释。因此,任何接受对物理可能性的确定引用的人都不应该以Putnamia模型理论为基础拒绝对自然数的确定引用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Physical Possibility and Determinate Number Theory
It is currently fashionable to take Putnamian model-theoretic worries seriously for mathematics, but not for discussions of ordinary physical objects and the sciences. However, I will argue that (under certain mild assumptions) merely securing determinate reference to physical possibility suffices to rule out the kind of nonstandard interpretations of our number talk Putnam invokes. So, anyone who accepts determinate reference to physical possibility should not reject determinate reference to the natural numbers on Putnamian model-theoretic grounds.
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来源期刊
Philosophia Mathematica
Philosophia Mathematica HISTORY & PHILOSOPHY OF SCIENCE-
CiteScore
1.70
自引率
9.10%
发文量
26
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.
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