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Absorption is a valid argument form and rule of inference of propositional logic.〔http://www.philosophypages.com/lg/e11a.htm〕 The rule states that if implies , then implies and . The rule makes it possible to introduce conjunctions to proofs. It is called the law of absorption because the term is "absorbed" by the term in the consequent.〔Russell and Whitehead, ''Principia Mathematica''〕 The rule can be stated: : where the rule is that wherever an instance of "" appears on a line of a proof, "" can be placed on a subsequent line. == Formal notation == The ''absorption'' rule may be expressed as a sequent: : where is a metalogical symbol meaning that is a syntactic consequences of in some logical system; and expressed as a truth-functional tautology or theorem of propositional logic. The principle was stated as a theorem of propositional logic by Russell and Whitehead in ''Principia Mathematica'' as: : where , and are propositions expressed in some formal system. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Absorption (logic)」の詳細全文を読む スポンサード リンク
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