Independence Results in Logic and Mathematics
An independence result demonstrates that a statement is neither provable nor disprovable…
Gödel’s Incompleteness Theorems
Gödel's incompleteness theorems reveal fundamental limits of formal systems. They demonstrate that…
Incompleteness in Logic and Mathematics
The property of a logical or mathematical system where not all true…
Gödel’s First Incompleteness Theorem
Gödel's First Incompleteness Theorem states that any consistent formal system capable of…
Gödel Sentence
A self-referential sentence in formal systems, a Gödel sentence demonstrates incompleteness theorems…
Glivenko’s Theorem
Glivenko's theorem in logic connects classical and intuitionistic systems. It states that…
Deductively Equivalent Theories
Two theories are deductively equivalent if they can prove the exact same…