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<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>

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Addenda to “The parallel postulate”

  • 期刊论文

  • 发表日期：

    2025年2月15日

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  • Victor Pambuccian

摘要

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.