The forgotten mathematical legacy of Peano

IF 1.5 3区数学 Q1 MATHEMATICS

Dissertationes Mathematicae Pub Date : 2019-02-01 DOI:10.4064/DM769-4-2018

S. Dolecki, G. H. Greco

引用次数: 0

Abstract

The formulations that Peano gave to many mathematical notions at the end of the 19th century were so perfect and modern that they have become standard today. A formal language of logic that he created, enabled him to perceive mathematics with great precision and depth. He described mathematics axiomatically basing the reasoning exclusively on logical and set-theoretical primitive terms and properties, which was revolutionary at that time. Yet, numerous Peano’s contributions remain either unremembered or underestimated.

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皮诺被遗忘的数学遗产

皮亚诺在19世纪末给出的许多数学概念的公式是如此完美和现代，以至于它们今天已经成为标准。他创造了一种形式的逻辑语言，使他能够非常精确和深入地理解数学。他将数学的推理完全建立在逻辑和集合论的基本项和性质的基础上，这在当时是革命性的。然而，皮亚诺的许多贡献不是被遗忘就是被低估了。

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

Dissertationes Mathematicae 数学-数学

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： DISSERTATIONES MATHEMATICAE publishes long research papers (preferably 50-100 pages) in any area of mathematics. An important feature of papers accepted for publication should be their utility for a broad readership of specialists in the domain. In particular, the papers should be to some reasonable extent self-contained. The paper version is considered as primary. The following criteria are taken into account in the reviewing procedure: correctness, mathematical level, mathematical novelty, utility for a broad readership of specialists in the domain, language and editorial aspects. The Editors have adopted appropriate procedures to avoid ghostwriting and guest authorship.