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In analogous fashion, the logical involution <math>\mathit{l}^\mathrm{w}\!</math> is the repeated application of the term <math>\mathit{l}\!</math> for as many times as there are individuals under the term <math>\mathrm{w}.\!</math>
 
In analogous fashion, the logical involution <math>\mathit{l}^\mathrm{w}\!</math> is the repeated application of the term <math>\mathit{l}\!</math> for as many times as there are individuals under the term <math>\mathrm{w}.\!</math>
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For example, suppose that the universe of discourse has, among other things, just the three women, <math>\mathrm{W}^{\prime}, \mathrm{W}^{\prime\prime}, \mathrm{W}^{\prime\prime\prime}.</math>  This could be expressed in Peirce's notation by writing:
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For example, suppose that the universe of discourse has, among other things, just three women, <math>\mathrm{W}^{\prime}, \mathrm{W}^{\prime\prime}, \mathrm{W}^{\prime\prime\prime}.</math>  This could be expressed in Peirce's notation by writing:
    
{| align="center" cellspacing="6" width="90%"
 
{| align="center" cellspacing="6" width="90%"
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|}
 
|}
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In this setting, we would have:
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Under these circumstances the following equation would hold:
    
{| align="center" cellspacing="6" width="90%"
 
{| align="center" cellspacing="6" width="90%"
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