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===Commentary Note 10.5===

===Commentary Note 10.5===

We have sufficiently covered the application of the comma functor, or the diagonal extension, to absolute terms, so let us return to where we were in working our way through CP 3.73, and see whether we can validate Peirce's statements about the "commifications" of 2-adic relative terms that yield their 3-adic diagonal extensions.

We have sufficiently covered the application of the comma functor,

or the diagonal extension, to absolute terms, so let us return to

where we were in working our way through CP 3.73, and see whether

we can validate Peirce's statements about the "commifications" of

2-adic relative terms that yield their 3-adic diagonal extensions.

| But not only may any absolute term be thus regarded as

| a relative term, but any relative term may in the same

<p>But not only may any absolute term be thus regarded as a relative term, but any relative term may in the same way be regarded as a relative with one correlate more. It is convenient to take this additional correlate as the first one.</p>

| way be regarded as a relative with one correlate more.

| It is convenient to take this additional correlate as

| the first one.

For this performance only, just to make the example more interesting,

: <p>'l','s'w</p>

  w  =  "woman"          =  B +, D +, E

<p>The comma here after 'l' should not be considered as altering at all the meaning of 'l', but as only a subjacent sign, serving to alter the arrangement of the correlates. (Peirce, CP 3.73).</p>

'l'  =  "lover of ---"    =  B:C +, C:B +, D:O +, E:I +, I:E +, J:D +, O:D

Just to plant our feet on a more solid stage, let's apply this idea to the Othello example.

's'  =  "servant of ---"  =  C:O +, E:D +, I:O +, J:D +, J:O

For this performance only, just to make the example more interesting, let us assume that Jeste (J) is secretly in love with Desdemona (D).

And next we derive the following results:

Then we begin with the modified data set:

'l',  = "lover that is --- of ---"

| 'l'

| = || "lover of ---"

| = || "servant of ---"

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

And next we derive the following results:

'l','s'w = (B:B:C +, C:C:B +, D:D:O +, E:E:I +, I:I:E +, J:J:D +, O:O:D)

 

          x  (C:O +, E:D +, I:O +, J:D +, J:O)

 

          x  (B +, D +, E)

| 'l','s'w

| colspan="2" | (B:B:C +, C:C:B +, D:D:O +, E:E:I +, I:I:E +, J:J:D +, O:O:D)

| (C:O +, E:D +, I:O +, J:D +, J:O)

| (B +, D +, E)

Now what are we to make of that?

Now what are we to make of that?