Neologicism Meets Fiction

IF 0.8 1区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE
Geoffrey Hellman
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引用次数: 0

Abstract

Neologicism (NL) invokes a “syntactic-priority thesis” (SPT) to derive existence of numbers, etc., from abstraction principles. Innumerable counterexamples to the SPT, however, are seen to arise from fiction, e.g., “Pegasus is (entirely) fictive”. Examination of possible defenses of the SPT leads to just one viable option, based on quasi-modal “in-fiction” operators. This, however, applies just as well to abstraction principles themselves, thereby undermining NL’s case for countenancing mathematical abstracta. Appeal to the linguistics principle of compositionality is seen not to help NL.
新词与小说相遇
新词主义(NL)利用“句法优先命题”(SPT)从抽象原则推导出数等的存在性。然而,SPT的无数反例都是虚构的,例如,“Pegasus(完全)是虚构的”。对SPT可能防御的研究只得出一个可行的选择,即基于准模态“虚构”操作符。然而,这也同样适用于抽象原则本身,从而削弱了自然语言支持数学抽象的理由。诉诸语言学的组合原则被认为对NL没有帮助。
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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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