[Inquiry] Re: Relatives Of Second Intention

[Jon Awbrey]

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ROSI.  Note 15

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| Every relative term, x, is separable
| into a part called "self-x", Sx,
| such that
|
|    Sx  =  Sum_i (x)_ii (I:I)
|
| and the remaining part, called "alio-x", Vx, comprising all
| the terms in x not in the principal diagonal of the block;
| so that we write
|
|    x  =  Sx + Vx.
|
| Each absolute term is considered to be
| equivalent to a certain relative term;
| namely,
|
|    A  =  (A:B) + (A:B) + (A:C) + etc.
|
| or, if x be an absolute term,
|
|    (x)_ij  =  (x)_i.
|
| The self-part of the relative equivalent to an absolute term
| is denoted by writing a comma after the term.  Accordingly,
|
|    (x,)_ii  =  (x)_i,   (x,)_ij  =  0.
|
| C.S. Peirce, 'Collected Papers', CP 3.310-311
|
|"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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