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Frege's propositional calculus : ウィキペディア英語版
Frege's propositional calculus
In mathematical logic Frege's propositional calculus was the first axiomatization of propositional calculus. It was invented by Gottlob Frege, who also invented predicate calculus, in 1879 as part of his second-order predicate calculus (although Charles Peirce was the first to use the term "second-order" and developed his own version of the predicate calculus independently of Frege).
It makes use of just two logical operators: implication and negation, and it is constituted by six axioms and one inference rule: modus ponens.
Axioms

''THEN-1:''

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