Changes

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{| align="center" cellspacing="6" width="90%"

| <math>X = \{ \operatorname{Bianca}, \operatorname{Cassio}, \operatorname{Clown}, \operatorname{Desdemona}, \operatorname{Emilia}, \operatorname{Iago}, \operatorname{Othello} \}.</math>

| <math>X ~=~ \{ \mathrm{Bianca}, \mathrm{Cassio}, \mathrm{Clown}, \mathrm{Desdemona}, \mathrm{Emilia}, \mathrm{Iago}, \mathrm{Othello} \}.</math>

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The universe <math>X\!</math> is "that class of individuals ''about'' which alone the whole discourse is understood to run" but its marking out for special recognition as a universe of discourse in no way rules out the possibility that "discourse may run upon something which is not a subjective part of the universe;  for instance, upon the qualities or collections of the individuals it contains" (CP 3.65).

The universe <math>X\!</math> is "that class of individuals ''about'' which alone the whole discourse is understood to run" but its marking out for special recognition as a universe of discourse in no way rules out the possibility that "discourse may run upon something which is not a subjective part of the universe;  for instance, upon the qualities or collections of the individuals it contains" (CP 3.65).

In order to provide ourselves with the convenience of abbreviated terms, while staying a bit closer to Peirce's conventions about capitalization, let us rename the universe <math>^{\backprime\backprime} u ^{\prime\prime},\!</math> the Clown "Jeste", and then rewrite the above description of the universe of discourse in the following fashion:

In order to provide ourselves with the convenience of abbreviated terms, while preserving Peirce's conventions about capitalization, let us use the alternate names <math>^{\backprime\backprime}\mathrm{u}^{\prime\prime}</math> for the universe <math>X\!</math> and <math>^{\backprime\backprime}\mathrm{Jeste}^{\prime\prime}</math> for the character <math>\mathrm{Clown}.\!</math>  This permits us to rewrite the above description of the universe of discourse in the following fashion:

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| <math>u ~=~ \{ \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E}, \mathrm{I}, \mathrm{J}, \mathrm{O} \}</math>

| <math>\mathrm{u} ~=~ \{ \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E}, \mathrm{I}, \mathrm{J}, \mathrm{O} \}</math>

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{| align="center" cellspacing="6" width="90%"

| <math>1 ~=~ \mathrm{B} ~+\!\!,~ \mathrm{C} ~+\!\!,~ \mathrm{D} ~+\!\!,~ \mathrm{E} ~+\!\!,~ \mathrm{I} ~+\!\!,~ \mathrm{J} ~+\!\!,~ O</math>

| <math>1 ~=~ \mathrm{B} ~+\!\!,~ \mathrm{C} ~+\!\!,~ \mathrm{D} ~+\!\!,~ \mathrm{E} ~+\!\!,~ \mathrm{I} ~+\!\!,~ \mathrm{J} ~+\!\!,~ \mathrm{O}</math>

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