[Inquiry] Re: Relatives Of Second Intention

[Jon Awbrey]

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ROSI.  Note 11

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| Section 4.  Classification of Relatives
|
| Individual relatives are of
| one or other of the two forms
|
|    A:A      A:B,
|
| and simple relatives are negatives
| of one or other of these two forms.
|
| The forms of general relatives are of
| infinite variety, but the following
| may be particularly noticed.
|
| Relatives may be divided into those all whose individual aggregants
| are of the form A:A and those which contain individuals of the form
| A:B.  The former may be called 'concurrents', the latter 'opponents'.
| Concurrents express a mere agreement among objects.  Such, for instance,
| is the relative "man that is __", and a similar relative may be formed
| from any term of singular reference.  We may denote such a relative by
| the symbol for the term of singular reference with a comma after it;
| thus ('m',) will denote "man that is __" if ('m') denotes "man".
| In the same way a comma affixed to an n-fold relative will convert
| it into an (n+1)-fold relative.  Thus, ('l') being "lover of __",
| ('l',) will be "lover that is __ of __".
|
| The negative of a concurrent relative will be one each of whose
| simple components is of the form ~(A:A), and the negative of an
| opponent relative will be one which has components of the form
| ~(A:B).
|
| We may also divide relatives into those which contain individual
| aggregants of the form A:A and those which contain only aggregants
| of the form A:B.  The former may be called 'self-relatives', the
| latter 'alio-relatives'.  We also have negatives of self-relatives
| and negatives of alio-relatives.
|
| C.S. Peirce, 'Collected Papers', CP 3.225-226 
|
| C.S. Peirce, "On the Algebra of Logic",
|'American Journal of Mathematics', vol. 3, pp. 15-57 (1880), reprinted in:
|'Collected Papers' (CP 3.154-251), 'Chronological Edition' (CE 4, 163-209).

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