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…
The Philonian conditional, also known as the material conditional, is a key concept in propositional logic. It formalizes 'if...then...' statements,…
Petitio principii, or begging the question, is an informal fallacy where the argument's conclusion is already assumed within its premises.…
Permutation is a structural rule in logic that enables the exchange of two formulas on the same side of an…
Peirce's law, ((P → Q) → P) → P, is a fundamental principle in logic. It is valid in classical…
A formal system of arithmetic using axioms by Giuseppe Peano, it provides a foundational basis for the theory of natural…
A particular proposition in traditional logic makes a claim about some, but not all, members of a class. It contrasts…
Partial logic explores systems where statements can be neither true nor false. It accommodates undefined terms and indeterminate truth values,…
These paradoxes highlight the counterintuitive nature of the material conditional in logic. They occur when the antecedent is false or…