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Single Idea 17790

[filed under theme 5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems ]

Full Idea

No logic which can axiomatize real analysis can have the Löwenheim-Skolem property.

Gist of Idea

No Löwenheim-Skolem logic can axiomatise real analysis

Source

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

Book Ref

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