Addenda to “The parallel postulate”

Victor Pambuccian

doi:10.1007/s11565-025-00582-4

Addenda to “The parallel postulate”

Victor Pambuccian

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	26
Journal	Annali dell'Universita di Ferrara
Volume	71
Issue number	2
DOIs	https://doi.org/10.1007/s11565-025-00582-4
State	Published - Jun 2025

Keywords

Aristotle’s axiom
F. P. Jenks
Parallel postulate
Paul Bernays

ASJC Scopus subject areas

General Mathematics

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10.1007/s11565-025-00582-4

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Addenda to “The parallel postulate”

Abstract

Keywords

ASJC Scopus subject areas

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