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    The validity of this syllogistic form needs no proof and ... — Carmelics
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    Supports→The syllogism 'if As are Bs and Bs are Cs, then As are Cs' is a perfect deduction in Aristotle's sense

    The validity of this syllogistic form needs no proof and admits of no proof

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    A perfect deduction is one whose validity needs no proofAny proof of this form would ultimately rely on the intuitive validity of this s...Anything taking the form 'if As are Bs and Bs are Cs, then As are Cs' is a deduc...The syllogism 'if As are Bs and Bs are Cs, then As are Cs' is a perfect deductio...

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    Accordingly, anything taking this form will be a deduction in Aristotle’s sense. Let the As, Bs, and Cs be anything at all, and if indeed the As are Bs, and the Bs Cs, then of necessity the As will be Cs. This particular deduction is perfect because its validity needs no proof, and perhaps because it admits of no proof either: any proof would seem to rely ultimately upon the intuitive validity of this sort of argument.

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