数学进展——论Maddy及其超越

IF 0.8 1区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Philosophia Mathematica Pub Date : 2022-04-01 DOI:10.1093/philmat/nkac019

Simon Weisgerber

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引用次数: 1

摘要

解决了数学实践哲学“特立独行”传统的一个关键问题，即什么是数学进步。这项调查是基于佩内洛普·马迪（Penelope Maddy）关于这一主题的一篇文章，她在文章中认为，只有“具有一定数学重要性”的贡献才是进步。在当代数学案例研究的帮助下，更确切地说是热带几何的案例研究，确定了她的建议中的一些问题。考虑到这些问题，在Maddy提供的进步框架内，开发了一种“数学重要性”的替代解释，特别关注数学家的同行评审实践。

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Mathematical Progress — On Maddy and Beyond

A key question of the ‘maverick’ tradition of the philosophy of mathematical practice is addressed, namely what is mathematical progress. The investigation is based on an article by Penelope Maddy devoted to this topic in which she considers only contributions ‘of some mathematical importance’ as progress. With the help of a case study from contemporary mathematics, more precisely from tropical geometry, a few issues with her proposal are identified. Taking these issues into consideration, an alternative account of ‘mathematical importance’, broadly within the framework of progress Maddy offers, is developed with a special focus on mathematicians’ peer-review practice.

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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.