Downward Löwenheim–Skolem Theorem
The downward Löwenheim–Skolem theorem states that if a theory has an infinite…
Double Turnstile Symbol (⊨) in Logic
The double turnstile (⊨) symbol signifies semantic entailment or logical consequence. It…
Compactness Theorem
A fundamental theorem in mathematical logic asserting that if every finite subset…
Categorical Theories in Mathematics
A categorical theory ensures all its models are isomorphic. This means different…
Branching Quantifiers in Formal Logic
Branching quantifiers express complex dependencies between quantified variables, going beyond linear quantification.…