“平行假设”附录

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2025-02-15 DOI:10.1007/s11565-025-00582-4

Victor Pambuccian

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引用次数: 0

摘要

指出：(1)潘布西亚（Ann Univ Ferrara 71: 17, 2025）中出现的平行公设的肯定版本可以在Paul Bernays的1935年手稿中找到，也可以在Hilbert和Bernays的《数学原理》第二卷中找到；(2)在同一篇论文中出现的公理S几乎与F. P. Jenks在1940年提出的基于关联的双曲几何公理系统中的公理IV相同。

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Addenda to “The parallel postulate”

It is pointed out that: (1) the positive version of the parallel postulate appearing in Pambuccian (Ann Univ Ferrara 71: 17, 2025) can be found in a 1935 manuscript by Paul Bernays and in Grundlagen der Mathematik, vol. II by Hilbert and Bernays; and (2) that axiom S appearing in the same paper is almost identical to Axiom IV in F. P. Jenks’ 1940 incidence-based axiom system for hyperbolic geometry.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.