Lexicon of Arguments

 

I 321
For example, the paradox of Loewenheim-Skolem: The fact, which can be proven by all axiom systems formulated in classical quantifier logic (with identity), that they can be fulfilled, if at all, then already in a countable individual realm, is quite rightly inferred from this,
I 322
that therefore also such an axiom system for the real numbers must already be countably fulfillable, contrary to the underlying intention to characterize just the not countable totality of the real numbers.
>Real numbers, >Satisfaction, >Models, >Model theory.