What is another word for logical argument?

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Noun Any formal system of reasoning that arrives at a truth through logical arguments dialectic logic reasoning deduction analysis examination investigation syllogism argumentation ratiocination philosophy syllogistics argument dialectics prologism syllogistic reasoning deductive reasoning science of reasoning science of deduction science of thought predicate logic reason sense rationale intellection rationality thesis inference induction good sense train of thought sound judgment course of thought antithesis and synthesis thinking thought premise basis grounds hypothesis explanation case interpretation underpinning rationalizationUS cerebration proof supposition cogitation proposition calculation mentation wisdom story reckoning rationalisationUK rationalisingUK syllogization rationalizingUS thought process line of thought process of reasoning logical thought why and wherefore whys and wherefores line of reasoning chain of reasoning prudence discretion discrimination “Leibniz considered the possibility of algorithms which would apply to logical argument as well as mathematics.” Find more words! 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