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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 17:00, 3 April 2009
, 17:00, 3 April 2009→Commentary Note 8.2
In other words:
In other words:
:* 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 ——".
:* 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 <math>\mathrm{Iago}:\mathrm{Emilia}\!</math> that we abbreviate as <math>\mathrm{I}\!:\!\mathrm{E}\!</math> is a summand of the relative term "lover of ——".
:* 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 ——".
:* 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 <math>\mathrm{I}\!:\!\mathrm{O}\!:\!\mathrm{D}</math> belongs to the relative term "betrayer to —— of ——".
:* 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 ——".
:* 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 <math>\mathrm{I}\!:\!\mathrm{O}\!:\!\mathrm{I}\!:\!\mathrm{C}\!</math> belongs to the relative term "winner over of —— to —— from ——".
===Commentary Note 8.3===
===Commentary Note 8.3===