MyWikiBiz, Author Your Legacy — Monday December 02, 2024
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, 15:14, 3 April 2009
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| To my way of thinking, CP 3.73 is one of the most remarkable passages in the history of logic. In this first pass over its deeper contents I won't be able to accord it much more than a superficial dusting off. | | To my way of thinking, CP 3.73 is one of the most remarkable passages in the history of logic. In this first pass over its deeper contents I won't be able to accord it much more than a superficial dusting off. |
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− | As always, it is probably best to begin with a concrete example. So let us initiate a discourse, whose universe <math>X\!</math> may remind us a little of the cast of characters in Shakespeare's ''Othello''.
| + | Let us imagine a concrete example that will serve in developing the uses of Peirce's notation. Consider a discourse whose universe <math>X\!</math> whose individuals will remind us a little of the cast of characters in Shakespeare's ''Othello''. |
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| {| align="center" cellspacing="6" width="90%" | | {| align="center" cellspacing="6" width="90%" |
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| Each of these terms denotes in a singular fashion the corresponding individual in <math>X.\!</math> | | Each of these terms denotes in a singular fashion the corresponding individual in <math>X.\!</math> |
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− | As the ''general terms'' of this discussion, we may begin with the following set:
| + | By way of ''general terms'' in this discussion, we may begin with the following set: |
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| {| align="center" cellspacing="6" width="90%" | | {| align="center" cellspacing="6" width="90%" |
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| |} | | |} |
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− | In Peirce's notation, the denotation of a general term can be expressed by means of an equation between terms:
| + | The denotation of a general term may be given by means of an equation between terms: |
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| {| align="center" cellspacing="6" width="90%" | | {| align="center" cellspacing="6" width="90%" |