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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that 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

    1 perspective
    Reason for
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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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    Reasons Against

    1 perspective
    Reason against
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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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