𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Is the Axiom of Choice a Logical or Set-Theoretical Principle?

✍ Scribed by Jaako Hintikka

Book ID
111367337
Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
419 KB
Volume
53
Category
Article
ISSN
0012-2017

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Remark on Ascending Chain Conditions,
A Remark on Ascending Chain Conditions, the Countable Axiom of Choice and the Principle of Dependent Choices
✍ Karl-Heinz Diener πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 370 KB

## Abstract It is easy to prove in ZF^βˆ’^ (= Zermelo‐Fraenkel set theory without the axioms of choice and foundation) that a relation __R__ satisfies the maximal condition if and only if its transitive hull __R__\* does; equivalently: __R__ is well‐founded if and only if __R__\* is. We will show in