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Unlike first-order logic, propositional logic does not deal with non-logical objects, predicates about them, or quantifiers. However, all the machinery of propositional logic is included in first-order logic and higher-order logics. In this sense, propositional logic is the foundation of first-order logic and higher-order logic.
Download as PDF; Printable version; ... Philosophy of logic is the area of philosophy that studies the scope and ... It is based on 20 axioms of propositional logic, ...
In propositional logic, import-export is a name given to the propositional form of Exportation: (()) (()).This already holds in minimal logic, and thus also in classical logic, where the conditional operator "" is taken as material implication.
Download as PDF; Printable version; In other projects ... Import-export is a name given to the statement as a theorem or truth-functional tautology of propositional ...
Stoic logic is the system of propositional logic developed by the Stoic philosophers in ancient Greece. It was one of the two great systems of logic in the classical world. It was largely built and shaped by Chrysippus , the third head of the Stoic school in the 3rd-century BCE.
In logic, Peirce's law is named after the philosopher and logician Charles Sanders Peirce.It was taken as an axiom in his first axiomatisation of propositional logic.It can be thought of as the law of excluded middle written in a form that involves only one sort of connective, namely implication.
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A number of axiomatizations of classical propositional logic are due to Łukasiewicz. A particularly elegant axiomatization features a mere three axioms and is still invoked to the present day. He was a pioneer investigator of multi-valued logics ; his three-valued propositional calculus , introduced in 1917, was the first explicitly ...