Changes

Here is how I would picture Peirce's example of equivalent terms, <math>\mathrm{v} = \mathrm{p}\!</math>, where <math>^{\backprime\backprime} \mathrm{v} ^{\prime\prime}</math> denotes the Vice-President of the United States, and <math>^{\backprime\backprime} \mathrm{p} ^{\prime\prime}</math> denotes the President of the Senate of the United States.

Here is how I would picture Peirce's example of equivalent terms, <math>\mathrm{v} = \mathrm{p}\!</math>, where <math>^{\backprime\backprime} \mathrm{v} ^{\prime\prime}</math> denotes the Vice-President of the United States, and <math>^{\backprime\backprime} \mathrm{p} ^{\prime\prime}</math> denotes the President of the Senate of the United States.

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Depending on whether we interpret the terms <math>^{\backprime\backprime} \mathrm{v} ^{\prime\prime}</math> and <math>^{\backprime\backprime} \mathrm{p} ^{\prime\prime}</math> as applying to persons who hold these offices at one particular time or as applying to all those persons who have held these offices over an extended period of history, their denotations may be either singular of plural, respectively.

Depending on whether we interpret the terms <math>^{\backprime\backprime} \mathrm{v} ^{\prime\prime}</math> and <math>^{\backprime\backprime} \mathrm{p} ^{\prime\prime}</math> as applying to persons who hold these offices at one particular time or as applying to all those persons who have held these offices over an extended period of history, their denotations may be either singular of plural, respectively.

For a more complex example, here is how I would picture Peirce's example of an equivalence between terms that comes about by applying one of the distributive laws, for relative multiplication over absolute summation.

For a more complex example, here is how I would picture Peirce's example of an equivalence between terms that comes about by applying one of the distributive laws, for relative multiplication over absolute summation.

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==Selection 6==

==Selection 6==