Warfield's Axioms

Warfield's Axioms are a set of principles used in logic and mathematics to define the fundamental properties of a truth-valued logic system, like Boolean logic. They specify how truth values behave, ensuring consistency and reliable reasoning. Key ideas include that a statement is either true or false (law of excluded middle), and that if a conclusion flows from true premises, it must be true (modus ponens). These axioms serve as the foundation for building logical systems that accurately represent reasoning processes, ensuring that different logical constructions align with our intuitive understanding of truth and deduction.