Why Is Proof the Only Way to Acquire Mathematical Knowledge?

IF 1 2区哲学 0 PHILOSOPHY

AUSTRALASIAN JOURNAL OF PHILOSOPHY Pub Date : 2023-10-15 DOI:10.1080/00048402.2023.2233540

Marc Lange

引用次数: 0

Abstract

This paper proposes an account of why proof is the only way to acquire knowledge of some mathematical proposition’s truth. Admittedly, non-deductive arguments for mathematical propositions can be s...

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为什么证明是获得数学知识的唯一途径？

本文解释了为什么证明是获得某些数学命题真理性知识的唯一途径。不可否认，数学命题的非演绎论点可以是。。。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

AUSTRALASIAN JOURNAL OF PHILOSOPHY PHILOSOPHY-

CiteScore

2.60

自引率

0.00%

发文量

期刊介绍： The Australasian Journal of Philosophy (AJP) is one of the world''s leading philosophy journals. Founded in 1923, it has been continuously published ever since. It is recognized as one of the best in the analytic tradition, but is not narrow in what it regards as worthy of acceptance. Heavily cited in the general philosophical literature, it is covered by all the major abstracting and indexing services, including the Arts and Humanities Citation Index® which provides access to current and retrospective bibliographic information and cited references found in the world''s leading arts and humanities journals. In addition to Articles and Discussion Notes, the journal publishes Book Reviews and Book Notes as well as occasional commissioned Critical Notices. The journal is read world-wide and has recently published contributions from North and South American, European and Asian as well as Australasian authors.