Independence Results in Logic and Mathematics
An independence result demonstrates that a statement is neither provable nor disprovable…
Gödel’s Second Incompleteness Theorem
Gödel's second incompleteness theorem states that no consistent formal system strong enough…
Gödel’s First Incompleteness Theorem
Gödel's First Incompleteness Theorem states that any consistent formal system capable of…
Glivenko’s Theorem
Glivenko's theorem in logic connects classical and intuitionistic systems. It states that…
Frege’s Theorem
Frege's theorem establishes that arithmetic is reducible to logic. It demonstrates how…
Downward Löwenheim–Skolem Theorem
The downward Löwenheim–Skolem theorem states that if a theory has an infinite…
Church’s Theorem
Church's theorem proves the undecidability of fundamental decision problems in logic, like…