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===Commentary Note 10.9===
 
===Commentary Note 10.9===
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<pre>
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The use of the concepts of identity and teridentity is not to identify a thing in itself with itself, much less twice or thrice over, since there is no need and thus no utility in that.  I can imagine Peirce asking, on Kantian principles if not entirely on Kantian premisses, "Where is the manifold to be unified?"  The manifold that demands unification does not reside in the object but in the phenomena, that is, in the appearances that might have been appearances of different objects but that happen to be constrained by these identities to being just so many aspects, facets, parts, roles, or signs of one and the same object.
The use of the concepts of identity and teridentity is not to identify
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a thing in itself with itself, much less twice or thrice over, since
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there is no need and thus no utility in that.  I can imagine Peirce
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asking, on Kantian principles if not entirely on Kantian premisses,
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"Where is the manifold to be unified?"  The manifold that demands
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unification does not reside in the object but in the phenomena,
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that is, in the appearances that might have been appearances
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of different objects but that happen to be constrained by
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these identities to being just so many aspects, facets,
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parts, roles, or signs of one and the same object.
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For example, notice how the various identity concepts actually
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For example, notice how the various identity concepts actually functioned in the last example, where they had the opportunity to show their behavior in something like their natural habitat.
functioned in the last example, where they had the opportunity
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to show their behavior in something like their natural habitat.
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The use of the teridentity concept in the case
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The use of the teridentity concept in the case of the "giver of a horse to a trainer of it" is to stipulate that the thing appearing with respect to its quality under the aspect of an absolute term, a horse, and the thing appearing with respect to its recalcitrance in the role of the correlate of a 2-adic relative, a brute to be trained, and the thing appearing with respect to its synthesis in the role of a correlate of a 3-adic relative, a gift, are one and the same thing.
of the "giver of a horse to a trainer of it" is
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to stipulate that the thing appearing with respect
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to its quality under the aspect of an absolute term,
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a horse, and the thing appearing with respect to its
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recalcitrance in the role of the correlate of a 2-adic
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relative, a brute to be trained, and the thing appearing
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with respect to its synthesis in the role of a correlate
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of a 3-adic relative, a gift, are one and the same thing.
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</pre>
      
===Commentary Note 10.10===
 
===Commentary Note 10.10===
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