𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Forms of the Pasch axiom in ordered geometry

✍ Scribed by Victor Pambuccian

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
88 KB
Volume
56
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We prove that, in the framework of ordered geometry, the inner form of the Pasch axiom (IP) does not imply its outer form (OP). We also show that OP can be properly split into IP and the weak Pasch axiom (WP) (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Properties of the real line and weak for
Properties of the real line and weak forms of the Axiom of Choice
✍ Omar De la Cruz; Eric Hall; Paul Howard; Kyriakos Keremedis; Eleftherios Tachtsi πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 192 KB πŸ‘ 1 views

Axiom of Choice, weak axioms of choice, real line. ## MSC (2000) 03E25, 03E35 We investigate, within the framework of Zermelo-Fraenkel set theory ZF, the interrelations between weak forms of the Axiom of Choice AC restricted to sets of reals.