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It is not the case that The existence of general predicates like 'is red' does not entail that objects share a single determinable property called redness
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Reasons For
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Reason for
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1.
General terms do not necessarily denote abstract ideas that correspond to real features of reality
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2.
It is an uncritical tendency to 'read off' features of reality from ways of speaking about it
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3.
Even if the predicate 'is red' truly applies to multiple objects, this does not require those objects to possess the very same property
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Reasons Against
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Reason against 1 of 2
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1.
Resemblance nominalism, defended by Rodriguez-Pereiro, grounds predicate application in pairwise resemblance relations among particulars, not shared universals.
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2.
Two red objects may resemble each other more closely than either resembles a blue object without both instantiating a single property called redness.
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3.
If resemblance relations do the explanatory work attributed to determinable properties, positing redness as a real shared property violates Ockham's Razor.
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Reason against 2 of 2
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1.
Wittgenstein's 'family resemblance' account shows that items falling under a common predicate need share no single common property, only overlapping similarities.
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2.
If family resemblance suffices for predicate application, then 'is red' can unify objects through networks of resemblance without requiring a shared determinable redness.
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