more from Shaughan Lavine

### Single Idea 15920

#### [catalogued under 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX]

Full Idea

Combinatorial collections (defined just by the members) obviously obey the Axiom of Choice, while it is at best dubious whether logical connections (defined by a rule) do.

Gist of Idea

Pure collections of things obey Choice, but collections defined by a rule may not

Source

Shaughan Lavine (Understanding the Infinite [1994], IV.2)

Book Reference

Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.78