Propositional connectives, also known as logical connectives, are fundamental symbols in logic. They combine simple propositions to form complex ones,…
A logical or mathematical argument that demonstrates the truth of a statement or theorem. Proofs rely on axioms, definitions, and…
A standardized structure for first-order logic where all quantifiers (universal and existential) are moved to the beginning of the formula,…
The predicate term is the second part of a proposition in a syllogism. It's the term that is affirmed or…
A powerful logical system merging predicate logic with functors. It enhances the representation of properties and relations, offering greater expressiveness…
A predicate functor in logic is a symbol acting as a function, mapping individuals or tuples to truth values. It's…
A predicate is a function or relation that asserts a property or relationship. It's fundamental in logic, databases, and programming,…
A theory is Post consistent if it contains at least one unprovable statement. If all statements are provable, the theory…
An extension of first-order logic that incorporates predicates with multiple arguments. This allows for the representation of complex relationships between…
Plural quantification extends logic beyond single entities to statements about sets and groups. It addresses how we express concepts involving…