Last Updated :2025/11/23

material implication

Noun
Japanese Meaning
命題論理における含意の一形式で、どんな命題でも(形式上)真である命題の十分条件とみなせる特徴がある。 / 古典命題論理において、真の命題につながる含意を表し、その結果として論理的パラドックス(例:Q ⊢ P → Q)を引き起こす場合がある。
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Q ⊢ P → Q のような物質的含意(古典命題論理で定義される含意)の逆説は、どんな命題でも真である命題に対する十分条件になり得ることを示している。

plural

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(logic) An implication as defined in classical propositional logic, leading to the truth of paradoxes of material implication such as Q⊢P→Q, to be read as any proposition whatsoever is a sufficient condition for a true proposition.

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material implication

The paradoxes of material implication, such as Q ⊢ P → Q, reveal that any proposition whatsoever can act as a sufficient condition for a true proposition.

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The paradoxes of material implication, such as Q ⊢ P → Q, reveal that any proposition whatsoever can act as a sufficient condition for a true proposition.

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