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Conditional is a Logical connective used to form expressions (formulas) of the language. Logical implication is a relation holding between set of formulas and a formula. Thus, they are two different concepts. But they are strongly related: in propositional logic, for example, we have that: the formula A → B is a tautology iff B is a logical consequence of A ...


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"Will these observations lead you to question the validity of Aristotle's syllogism?"   I don't see how. And, like others commenting here, I am surprised that you are considering such a possibility -- but let me explain what I mean.   When confronted with something that defies our expectations, our understanding of the way things are, we, humans, ...


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