[Inquiry] Re: Relatives Of Second Intention

[Jon Awbrey]

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ROSI.  Note 5

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| Classification of Simple Relatives (cont.)
|
| b.  The second division of simple relatives with reference to the
|     amount of opposition between relative and correlative is into
|     those whose elements may be arranged in collections of squares,
|     each square like this,
|
|        A:A    A:B    A:C
|        B:A    B:B    B:C
|        C:A    C:B    C:C
|
|     and those whose elements cannot be so arranged.  The former (examples of
|     which are, "equal to __", "similar to __") may be called 'copulatives'*,
|     the latter 'non-copulatives'.  A copulative multiplied into itself gives
|     itself.  Professor Peirce calls letters having this property, 'idempotents'.
|     The present distinction is of course very important in pure algebra.  All
|     concurrents are copulatives.
|
|* [Marginal Note]  "The idea of a copula is different.
|  these should be called 'assimilative."  [See 3.592]. 
|
| C.S. Peirce, CP 3.136
|
| C.S. Peirce,
|"Description of a Notation for the Logic of Relatives,
| Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic",
|'Memoirs of the American Academy', Volume 9, pages 317-378, 26 January 1870,
|'Collected Papers' (CP 3.45-149), 'Chronological Edition' (CE 2, 359-429).

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