The prelinearity axiom, represented by the formula (P → Q) ∨ (Q → P), is a fundamental principle in logic.…
A predicate functor in logic is a symbol acting as a function, mapping individuals or tuples to truth values. It's…
A theory is Post consistent if it contains at least one unprovable statement. If all statements are provable, the theory…
Pluralism, particularly logical pluralism, suggests that there can be multiple, distinct, and equally valid logical systems. This challenges the traditional…
The philosophy of logic explores the fundamental nature, assumptions, and implications of logical systems. It scrutinizes the very tools we…
Philosophical logic explores the theoretical underpinnings of logic, delving into concepts like reference, modality, quantification, and the fundamental structure of…
Permutation is a structural rule in logic that enables the exchange of two formulas on the same side of an…
A formal system of arithmetic using axioms by Giuseppe Peano, it provides a foundational basis for the theory of natural…
The open pair paradox involves two statements that contradict each other, creating a logical loop. It highlights challenges in self-referential…
Explore logics that deviate from or expand classical logic. This includes many-valued, modal, and other non-classical systems, offering diverse approaches…