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 Second Incompleteness Theorem
Gödel's second incompleteness theorem states that no consistent formal system strong enough…
Finitely Axiomatizable Theories
A theory is finitely axiomatizable if it can be completely defined by…
Conservative Extension in Logic and Mathematics
A conservative extension adds new axioms or rules to a theory without…