𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An infinity which depends on the axiom of choice

✍ Scribed by Vladimir Kanovei; Vassily Lyubetsky


Book ID
113439559
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
201 KB
Volume
218
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES


A Problem on the Axiom of Choice
✍ A. H. Kruse πŸ“‚ Article πŸ“… 1963 πŸ› John Wiley and Sons 🌐 English βš– 620 KB
A Remark on Ascending Chain Conditions,
✍ 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