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    Frege's distinction between concept and object shows that... — Carmelics
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    Challenges→The proposition 'The universal-man is (something) white' (homo in communi est album) is true if at least one existing man is white

    Frege's distinction between concept and object shows that universal terms function as unsaturated predicates, not objects that can themselves receive predication.

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    Reasons For

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    Reason for
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    • 1.Predicates like 'is red' require completion by objects; they cannot themselves be subjects without changing logical type.
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    • 2.Universal terms appear in different grammatical positions than singular terms, suggesting fundamentally different logical categories.
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    • 3.Treating universals as objects leads to infinite regress: properties would need properties, violating Occam's razor.
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    Reasons Against

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    • 1.We can meaningfully predicate properties of properties: 'redness is a color' treats a universal as a legitimate subject.
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    • 2.Modern logic successfully formalizes universals as bound variables and sets without requiring Frege's saturation distinction.
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    • 3.The unsaturated/saturated distinction itself lacks clear criteria, making it unclear what counts as genuinely 'incomplete.'
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    Modern logic successfully formalizes universals as bound variables and sets with...Predicates like 'is red' require completion by objects; they cannot themselves b...The proposition 'The universal-man is (something) white' (homo in communi est al...The unsaturated/saturated distinction itself lacks clear criteria, making it unc...
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    Treating universals as objects leads to infinite regress: properties would need ...Universal terms appear in different grammatical positions than singular terms, s...We can meaningfully predicate properties of properties: 'redness is a color' tre...

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