Combining Texts

Ideas for 'The Big Book of Concepts', 'Remarks on axiomatised set theory' and 'On Perceptions'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

1 idea

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17878	If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
	Full Idea: Löwenheim's theorem reads as follows: If a first-order proposition is satisfied in any domain at all, it is already satisfied in a denumerably infinite domain.
	From: Thoralf Skolem (Remarks on axiomatised set theory [1922], p.293)