{"title":"Addenda to “The parallel postulate”","authors":"Victor Pambuccian","doi":"10.1007/s11565-025-00582-4","DOIUrl":null,"url":null,"abstract":"<div><p>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 <i>Grundlagen der Mathematik</i>, vol. II by Hilbert and Bernays; and (2) that axiom <b>S</b> appearing in the same paper is almost identical to Axiom IV in F. P. Jenks’ 1940 incidence-based axiom system for hyperbolic geometry.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2025-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-025-00582-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
