...In a mathematical theorem (or proposition) of the form "If A then B , " such as "If x is a nonzero real number, then x² is a positive number," the A part, in the above example " x is a nonzero real number," is called the assumption or hypothesis of the theorem. The B part, in the above example " x² is a positive number," is called the conclusion or conclusion of the theorem. In other words, the premise of the theorem is the assumption (presupposition), and the conclusion part is the conclusion (conclusion). ... *Some explanations of terms that mention "conclusion" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…〈xが0でない実数ならばx2は正の数である〉というような〈AならばB〉の形の数学的定理(または命題)において,Aの部分,上の例では〈xは0でない実数である〉をこの定理の仮定または仮設という。Bの部分,上の例では〈x2は正の数である〉をこの定理の結論または終結conclusionという。換言すれば,定理の前提条件が仮設(仮定)であり,結論部分が終結(結論)である。… ※「conclusion」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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