### Single Idea 13843

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

Full Idea

A Löwenheim-Skolem theorem holds for anything which, on my delineation, is a logic.

Gist of Idea

If it is a logic, the Löwenheim-Skolem theorem holds for it

Source

Ian Hacking (What is Logic? [1979], §13)

Book Reference

'A Philosophical Companion to First-Order Logic', ed/tr. Hughes,R.I.G. [Hackett 1993], p.246

A Reaction

I take this to be an unusually conservative view. Shapiro is the chap who can give you an alternative view of these things, or Boolos.