Single Idea 10289

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

Full Idea

Upward L÷wenheim-Skolem: every first-order theory with infinite models has arbitrarily large models.

Gist of Idea

Up L÷wenheim-Skolem: if infinite models, then arbitrarily large models


Wilfrid Hodges (First-Order Logic [2001], 1.10)

Book Reference

'Blackwell Guide to Philosophical Logic', ed/tr. Goble,Lou [Blackwell 2001], p.29