[Inquiry] Re: Relatives Of Second Intention

[Jon Awbrey]

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ROSI.  Note 16

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| Besides 0 and ~0, two other dual relative terms have been called
| terms of second intention.  These are simply S(~0) and V(~0).
| The relative S(~0) or (~0,) is also written 1, and is called
| unity, or "identical with".  It is defined by the equations
|
|    (1)_ii  =  1,   (1)_ij  =  0.
|
| That is,
|
|    1  =  (A:A) + (B:B) + (C:C) + etc.
|
| The relative V(~0) is written ~1 or `n`, and is called "not",
| or "the negative of".  It is defined by the equations
|
|    (~1)_ii  =  0,   (~1)_ij  =  1.
|
| C.S. Peirce, 'Collected Papers', CP 3.312
|
|"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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