[Inquiry] Re: Logic Of Relatives

[Jon Awbrey]

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LOR.  Note 17

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I will continue with my commentary on CP 3.73, developing
the Othello example as a way of illustrating its concepts.

In the development of the story so far, we have a universe of discourse
that can be characterized by means of the following system of equations:

1  =  B +, C +, D +, E +, I +, J +, O

b  =  O

m  =  C +, I +, J +, O

w  =  B +, D +, E

This much provides a basis for collection of absolute terms that
I plan to use in this example.  Let us now consider how we might
represent a sufficiently exemplary collection of relative terms.

If we consider the genesis of relative terms, for example, "lover of ---",
"betrayer to --- of ---", or "winner over of --- to --- from ---", we may
regard these fill-in-the-blank forms as being derived by way of a kind of
"rhematic abstraction" from the corresponding instances of absolute terms.

In other words:

1.  The relative term "lover of ---" can be constructed by abstracting
    the absolute term "Emilia" from the absolute term "lover of Emilia".
    Since Iago is a lover of Emilia, the relate-correlate pair denoted
    by "Iago:Emilia" is a summand of the relative term "lover of ---".

2.  The relative term "betrayer to --- of ---" can be constructed
    by abstracting the absolute terms "Othello" and "Desdemona"
    from the absolute term "betrayer to Othello of Desdemona".
    In as much as Iago is a betrayer to Othello of Desdemona,
    the relate-correlate-correlate triple denoted by "I:O:D"
    belongs to the relative term "betrayer to --- of ---".

3.  The relative term "winner over of --- to --- from ---" can be constructed
    by abstracting the absolute terms "Othello", "Iago", and "Cassio" from the
    absolute term "winner over of Othello to Iago from Cassio".  Since Iago is
    a winner over of Othello to Iago from Cassio, the elementary relative term
    "I:O:I:C" belongs to the relative term "winner over of --- to --- from ---".

Jon Awbrey

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