syllogistically

/ˌsɪləˈdʒɪstɪkli/
adverb
  1. In a manner that uses or follows the form of a syllogism; by deductive reasoning.
    • She syllogistically demonstrated why the policy would fail, step by logical step.
    • The philosopher syllogistically proved that the soul is immortal using three linked statements.
    • He argued syllogistically, moving from premise to premise until the conclusion was unavoidable.
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