Single Idea 17790

[catalogued under 5. Theory of Logic / J. Model Theory in Logic / 3. L÷wenheim-Skolem Theorems]

Full Idea

No logic which can axiomatize real analysis can have the L÷wenheim-Skolem property.

Gist of Idea

No L÷wenheim-Skolem logic can axiomatise real analysis

Source

John Mayberry (What Required for Foundation for Maths? [1994], p.412-1)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.412