I'm trying to understand forcing in set theory. From what I understood it necessary that the Löwenheim-Skolem theorem holds to extend models or to force extensions. So, is forcing only possible in first-order theories?
Thanks for the help!
I'm trying to understand forcing in set theory. From what I understood it necessary that the Löwenheim-Skolem theorem holds to extend models or to force extensions. So, is forcing only possible in first-order theories?
Thanks for the help!
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