[Inquiry] Re: Relatives Of Second Intention

[Jon Awbrey]

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ROSI.  Note 14

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NB.  For ease of reading in the rest of this transcription,
     I depart from Peirce's  conventional use of italics for
     mathematical symbols, except where necessary for clarity.
     To avoid confusing the letter "l" with the numeral "1",
     for instance, when Peirce uses the letter "l" to denote
     a general dual relative, I use the letter "q" instead.

| The symbol (A:B) is called an 'individual dual relative'.  It
| signifies simply a pair of individual objects, (A:B) and (B:A)
| being different.  An aggregate of such symbols, each affected
| by a numerical coefficient, is called a 'general dual relative'.
| The totality of pairs of letters arrange themselves with obvious
| naturalness in the block,
|
|    A:A   A:B   A:C   etc.
|    B:A   B:B   B:C   etc.
|    C:A   C:B   C:C   etc.
|    etc.  etc.  etc.  etc.
|
| If 'q' denotes any general dual relative, then the coefficient
| of the pair I:J in 'q' is written (q)_ij.  These coefficients
| are thus each referred to a place in the above block, and may
| themselves be arranged in the block,
|
|    (q)_aa   (q)_ab  (q)_ac   etc.
|    (q)_ba   (q)_bb  (q)_bc   etc.
|    (q)_ca   (q)_cb  (q)_cc   etc.
|     etc.     etc.    etc.    etc.
|
| C.S. Peirce, 'Collected Papers', CP 3.308-309
|
|"Brief Description of the Algebra of Relatives", privately printed, pp. 1-6,
| January 7, 1882, with a postscript dated January 16, 1882, Baltimore, MD.
|'Collected Papers' (CP 3.306-322), 'Chronological Edition' (CE 4, 328-333).

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