back to ideas for this text


Single Idea 18270

[from 'The Semantic Tradition from Kant to Carnap' by J. Alberto Coffa, in 4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX ]

Full Idea

The axiom of choice was an assumption that implicitly questioned the necessity of intensions to guarantee the presence of classes.

Clarification

'Intensions' here are concepts which generate the classes

Gist of Idea

Choice suggests that intensions are not needed to ensure classes

Source

J. Alberto Coffa (The Semantic Tradition from Kant to Carnap [1991], 7 'Log')

Book Reference

Coffa,J.Alberto: 'The Semantic Tradition from Kant to Carnap' [CUP 1993], p.114


A Reaction

The point is that Choice just picks out members for no particular reason. So classes, it seems, don't need a reason to exist.