What does disjunctive syllogism mean?

Definitions for disjunctive syllogism
dis·junc·tive syl·lo·gism

This dictionary definitions page includes all the possible meanings, example usage and translations of the word disjunctive syllogism.

Wikidata

  1. Disjunctive syllogism

    In classical logic disjunctive syllogism is a valid argument form which is a syllogism having a disjunctive statement for one of its premises. Either the breach is a safety violation, or it is not subject to fines. The breach is not a safety violation. Therefore, it is not subject to fines. In propositional logic, disjunctive syllogism, is a valid rule of inference. If we are told that at least one of two statements is true; and also told that it is not the former that is true; we can infer that it has to be the latter that is true. If either P or Q is true and P is false, then Q is true. The reason this is called "disjunctive syllogism" is that, first, it is a syllogism, a three-step argument, and second, it contains a logical disjunction, which simply means an "or" statement. "Either P or Q" is a disjunction; P and Q are called the statement's disjuncts. The rule makes it possible to eliminate a disjunction from a logical proof. It is the rule that: where the rule is that whenever instances of "", and "" appear on lines of a proof, "" can be placed on a subsequent line.

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Numerology

  1. Chaldean Numerology

    The numerical value of disjunctive syllogism in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of disjunctive syllogism in Pythagorean Numerology is: 6


Translations for disjunctive syllogism

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"disjunctive syllogism." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/disjunctive+syllogism>.

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