皮诺被遗忘的数学遗产

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

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引用次数: 0

摘要

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。

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The forgotten mathematical legacy of Peano

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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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.