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    Lukasiewicz and Patzig both demonstrate that Aristotelian... — Carmelics
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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

    Lukasiewicz and Patzig both demonstrate that Aristotelian syllogistic is a term logic where validity depends on predication, not hypothetical transitivity.

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    Reasons For

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    • 1.Aristotle explicitly analyzes syllogisms through predication relations (S-P, M-P, S-M), not abstract conditional chains.
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    • 2.Term logic requires actual semantic content of middle, major, and minor terms; pure transitivity ignores meaning.
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    • 3.Lukasiewicz's reconstruction preserves Aristotle's rejection of empty terms, which modern hypothetical logic cannot.
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    Reasons Against

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    • 1.Figure and mood validity patterns reduce to hypothetical transitivity: if A⊆B and B⊆C, then A⊆C holds structurally.
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    • 2.Modern predicate logic fully recovers Aristotelian validity without privileging 'predication' over quantified relations.
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    • 3.Patzig's own work shows syllogistic can be formalized either way; the distinction may be notational, not substantive.
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    Related

    Aristotle explicitly analyzes syllogisms through predication relations (S-P, M-P...Figure and mood validity patterns reduce to hypothetical transitivity: if A⊆B an...Lukasiewicz's reconstruction preserves Aristotle's rejection of empty terms, whi...Modern predicate logic fully recovers Aristotelian validity without privileging ...
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    Patzig's own work shows syllogistic can be formalized either way; the distinctio...Term logic requires actual semantic content of middle, major, and minor terms; p...The syllogism 'if As are Bs and Bs are Cs, then As are Cs' is a perfect deductio...

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