〘noun〙 (translation of dilemma) In formal logic, a hypothetical syllogism whose major premise consists of two hypothetical judgments and whose minor premise and conclusion are disjunctive judgments. A valid conclusion can be reached only if the minor premise either affirms the antecedent of the major premise or denies the consequent. In this type of logic, if the minor premise affirms the antecedent of the major premise, a conclusion is reached that affirms the consequent of the hypothetical judgment, which is called a constructive double-edged argument. If the minor premise denies the consequent of the hypothetical judgment, a conclusion is reached that denies the antecedent, which is called a destructive double-edged argument. Dilemma. [Logic (1916)] Source: The Selected Edition of the Japanese Language Dictionary About the Selected Edition of the Japanese Language Dictionary Information |
〘名〙 (dilemma の訳語) 形式論理学で、大前提が仮言判断二つ、小前提と結論とが選言判断から成る仮言的三段論法のこと。小前提は大前提の前件を肯定するか、後件を否定する場合にのみ、正当な結論が出る。この論法で、小前提が大前提の前件を肯定する場合、仮言判断の後件を肯定する結論を得、これを構成的両刀論法という。小前提で仮言判断の後件を否定する場合、前件を否定する結論を得、これを破壊的両刀論法という。ジレンマ。〔論理学(1916)〕
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