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    Challenges→The syllogism 'if As are Bs and Bs are Cs, then As are Cs' is a perfect deduction in Aristotle's sense

    Aristotle's 'perfect' deductions are restricted to the four categorical syllogisms of the first figure (Barbara, Celarent, Darii, Ferio).

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    Reasons For

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    • 1.Aristotle explicitly calls first-figure syllogisms 'perfect' because they need no proof, while second and third figures require reduction to first-figure forms.
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    • 2.The first figure's middle-term position (subject-predicate) makes its validity self-evident without additional logical operations or conversion rules.
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    • 3.All other valid syllogisms depend on converting premises, demonstrating that first-figure syllogisms are foundational to the entire system.
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    Reasons Against

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    • 1.Aristotle also uses and validates second and third-figure syllogisms throughout the Analytics without subordinating them to first-figure forms.
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    • 2.'Perfect' may mean 'immediately certain' rather than 'the only valid forms'—Aristotle distinguishes proof-theoretic status from logical validity itself.
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    • 3.Aristotle's reduction procedure may reflect pedagogical ordering, not a metaphysical claim about which forms are truly deductive.
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    Aristotle's 'perfect' deductions are restricted to the fo... — Carmelics

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    Related

    'Perfect' may mean 'immediately certain' rather than 'the only valid forms'—Aris...All other valid syllogisms depend on converting premises, demonstrating that fir...Aristotle also uses and validates second and third-figure syllogisms throughout ...Aristotle explicitly calls first-figure syllogisms 'perfect' because they need n...
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    Aristotle's reduction procedure may reflect pedagogical ordering, not a metaphys...The first figure's middle-term position (subject-predicate) makes its validity s...The syllogism 'if As are Bs and Bs are Cs, then As are Cs' is a perfect deductio...

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