First-Order Logic
First-order logic (FOL) is a formal system using quantifiers like 'for all'…
First-Degree Entailment (FDE)
FDE is a logical system that allows propositions to be both true…
Finitely Axiomatizable Theories
A theory is finitely axiomatizable if it can be completely defined by…
Falsum: Understanding Logical Falsity
Falsum, symbolized as ⊥, represents absolute falsity or a contradiction in logic.…
Explosion Principle in Logic
The Explosion Principle, also known as ex falso quodlibet, states that from…
Existential Variable in Predicate Logic
An existential variable is a placeholder in predicate logic, bound by an…
Existential Instantiation: Inferring Existence from Generic Statements
Existential instantiation is a logical rule enabling the inference of a specific…
Existential Import in Logic
Existential import refers to the assumption that a statement implies the existence…