Work

There is no obstruction to a Euclidean proof for the fourth postulate

Year: 2025

Type: article

Abstract: In (Gil-Férez et al., 2025), the authors presented a proof of Postulate 4 using purely Euclidean techniques, against which (Blåsjö, 2025) raised several objections. In this note, we offer linguistic, textual, historical, and mathematical evidence that demonstrate that all these objections are baseless.

Source: Historia Mathematica

DOI: 10.1016/j.hm.2025.09.001

Authors: José Gil-Férez, Piotr Błaszczyk, M. Andrew Moshier, Alberto Naibo, Jean-Michel Salanskis

Institutions: Institut d'Histoire et de Philosophie des Sciences et des Techniques, Université Paris 1 Panthéon-Sorbonne

Language: English

Topic: History and Theory of Mathematics

Subfield: Theoretical Computer Science

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,810

Funder: Agence Nationale de la Recherche