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MyWikiBiz, Author Your Legacy — Saturday October 19, 2024
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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''.
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Let us imagine a concrete example that will serve in developing the uses of Peirce's notationConsider a discourse whose universe <math>X\!</math> whose individuals will remind us a little of the cast of characters in Shakespeare's ''Othello''.
    
{| 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:
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By way of ''general terms'' in this discussion, we may begin with the following set:
    
{| 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:
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The denotation of a general term may be given by means of an equation between terms:
    
{| align="center" cellspacing="6" width="90%"
 
{| align="center" cellspacing="6" width="90%"
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