Inclusive First-Order Logic Explained
Inclusive first-order logic is a flexible variant that permits empty domains, unlike…
Higher-Order Logic
Higher-order logic extends first-order logic by enabling quantification over predicates and other…
Henkin Semantics
Henkin semantics offers a flexible alternative to standard first-order semantics, allowing quantifiers…
Gödel’s First Incompleteness Theorem
Gödel's First Incompleteness Theorem states that any consistent formal system capable of…
First-Order Variables in Logic
First-order variables are placeholders for individuals within a specific domain in first-order…
First-Order Theory
A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships…
Compactness Theorem
A fundamental theorem in mathematical logic asserting that if every finite subset…