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<math>\begin{array}{l}

<math>\begin{array}{l}

\langle\!\langle\, \text{lover of}\, \underline{~~~~}\, \rangle\!\rangle

^{\backprime\backprime}\, \text{lover of}\, \underline{~~~~}\, ^{\prime\prime}

\\[6pt]

\\[6pt]

\langle\!\langle\, \text{betrayer to}\, \underline{~~~~}\, \text{of}\, \underline{~~~~}\, \rangle\!\rangle

^{\backprime\backprime}\, \text{betrayer to}\, \underline{~~~~}\, \text{of}\, \underline{~~~~}\, ^{\prime\prime}

\\[6pt]

\\[6pt]

\langle\!\langle\, \text{winner over of}\, \underline{~~~~}\, \text{to}\, \underline{~~~~}\, \text{from}\, \underline{~~~~}\, \rangle\!\rangle

^{\backprime\backprime}\, \text{winner over of}\, \underline{~~~~}\, \text{to}\, \underline{~~~~}\, \text{from}\, \underline{~~~~}\, ^{\prime\prime}

\end{array}</math>

\end{array}</math>

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In other words:

In other words:

:* The relative term <math>\langle\!\langle\, \text{lover of}\, \underline{~~~~}\, \rangle\!\rangle</math> is derived by abstracting the absolute term <math>\langle\!\langle\, \text{Emilia}\, \rangle\!\rangle</math> from the absolute term <math>\langle\!\langle\, \text{lover of Emilia}\, \rangle\!\rangle.</math>  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 dyadic relation that corresponds to the relative term <math>\langle\!\langle\, \text{lover of}\, \underline{~~~~}\, \rangle\!\rangle.</math>

<p>The relative term <math>^{\backprime\backprime}\, \text{lover of}\, \underline{~~~~}\, ^{\prime\prime}</math><p>

:* The relative term <math>\langle\!\langle\, \text{betrayer to}\, \underline{~~~~}\, \text{of}\, \underline{~~~~}\, \rangle\!\rangle</math> is derived by abstracting the absolute terms <math>\langle\!\langle\, \text{Othello}\, \rangle\!\rangle</math> and <math>\langle\!\langle\, \text{Desdemona}\, \rangle\!\rangle</math> from the absolute term <math>\langle\!\langle\, \text{betrayer to Othello of Desdemona}\, \rangle\!\rangle.</math>  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 triadic relation that corresponds to the relative term <math>\langle\!\langle\, \text{betrayer to}\, \underline{~~~~}\, \text{of}\, \underline{~~~~}\, \rangle\!\rangle.</math>

<p>is formed by abstracting the absolute term <math>^{\backprime\backprime}\, \text{Emilia}\, ^{\prime\prime}</math></p>

:* The relative term "winner over of&nbsp;&mdash;&mdash; to&nbsp;&mdash;&mdash; from&nbsp;&mdash;&mdash;" 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&nbsp;&mdash;&mdash; to&nbsp;&mdash;&mdash; from&nbsp;&mdash;&mdash;".

 

<p>Iago is a lover of Emilia, so the relate-correlate pair <math>\mathrm{I}:\mathrm{E}\!</math><p>

 

 

 

 

 

<p>The relative term <math>^{\backprime\backprime}\, \text{winner over of}\, \underline{~~~~}\, \text{to}\, \underline{~~~~}\, \text{from}\, \underline{~~~~}\, ^{\prime\prime}</math></p>

 

<p>is formed by abstracting the absolute terms <math>^{\backprime\backprime}\, \text{Othello}\, ^{\prime\prime},</math> <math>^{\backprime\backprime}\, \text{Iago}\, ^{\prime\prime},</math> and <math>^{\backprime\backprime}\, \text{Cassio}\, ^{\prime\prime}</math></p>

 

<p>from the absolute term <math>^{\backprime\backprime}\, \text{winner over of Othello to Iago from Cassio}\, ^{\prime\prime}.</math></p>

 

<p>Iago is a winner over of Othello to Iago from Cassio, so the elementary relative term <math>\mathrm{I}:\mathrm{O}:\mathrm{I}:\mathrm{C}\!</math></p>

 

<p>belongs to the tetradic relation that corresponds to the relative term <math>^{\backprime\backprime}\, \text{winner over of}\, \underline{~~~~}\, \text{to}\, \underline{~~~~}\, \text{from}\, \underline{~~~~}\, ^{\prime\prime}.</math></p>

===Commentary Note 8.3===

===Commentary Note 8.3===