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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)

Revision as of 11:16, 6 April 2009

510 bytes added ,  11:16, 6 April 2009
→‎Commentary Note 8.5
Line 1,589: Line 1,589:  
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|}
   −
: 's'm = "servant of a man" =
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{| align="center" cellpadding="6" width="90%"
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|
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<math>\begin{matrix}
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\mathit{s}\mathrm{m} & = & \text{servant of a man} & =
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\end{matrix}</math>
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|-
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|
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<math>
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\begin{bmatrix}
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0 & 0 & 0 & 0 & 0 & 0 & 0
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\\
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0 & 0 & 0 & 0 & 0 & 0 & 1
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\\
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0 & 0 & 0 & 0 & 0 & 0 & 0
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\\
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0 & 0 & 1 & 0 & 0 & 0 & 0
 +
\\
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0 & 0 & 0 & 0 & 0 & 0 & 1
 +
\\
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0 & 0 & 1 & 0 & 0 & 0 & 1
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\\
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0 & 0 & 0 & 0 & 0 & 0 & 0
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\end{bmatrix}
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\begin{bmatrix}
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0 \\ 1 \\ 0 \\ 0 \\ 1 \\ 1 \\ 1
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\end{bmatrix}
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=
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\begin{bmatrix}
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0 \\ 1 \\ 0 \\ 0 \\ 1 \\ 1 \\ 0
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\end{bmatrix}
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</math>
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|}
   −
<pre>
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{| align="center" cellpadding="6" width="90%"
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| 0 0 0 0 0 0 0 | | 0 |  | 0 |
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|
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| 0 0 0 0 0 0 1 | | 1 |  | 1 |
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<math>\begin{matrix}
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| 0 0 0 0 0 0 0 | | 0 |  | 0 |
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\mathit{s}\mathrm{w} & = & \text{servant of a woman} & =
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| 0 0 1 0 0 0 0 | | 0 | = | 0 |
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\end{matrix}</math>
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| 0 0 0 0 0 0 1 | | 1 |  | 1 |
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|-
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| 0 0 1 0 0 0 1 | | 1 |  | 1 |
+
|
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| 0 0 0 0 0 0 0 | | 1 |  | 0 |
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<math>
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</pre>
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\begin{bmatrix}
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0 & 0 & 0 & 0 & 0 & 0 & 0
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: 's'w = "servant of a woman" =
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\\
−
 
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0 & 0 & 0 & 0 & 0 & 0 & 1
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<pre>
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\\
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| 0 0 0 0 0 0 0 | | 1 |  | 0 |
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0 & 0 & 0 & 0 & 0 & 0 & 0
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| 0 0 0 0 0 0 1 | | 0 |  | 0 |
+
\\
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| 0 0 0 0 0 0 0 | | 1 |  | 0 |
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0 & 0 & 1 & 0 & 0 & 0 & 0
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| 0 0 1 0 0 0 0 | | 1 | = | 1 |
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\\
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| 0 0 0 0 0 0 1 | | 0 |  | 0 |
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0 & 0 & 0 & 0 & 0 & 0 & 1
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| 0 0 1 0 0 0 1 | | 0 |  | 1 |
+
\\
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| 0 0 0 0 0 0 0 | | 0 |  | 0 |
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0 & 0 & 1 & 0 & 0 & 0 & 1
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</pre>
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\\
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0 & 0 & 0 & 0 & 0 & 0 & 0
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\end{bmatrix}
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\begin{bmatrix}
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1 \\ 0 \\ 1 \\ 1 \\ 0 \\ 0 \\ 0
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\end{bmatrix}
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=
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\begin{bmatrix}
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0 \\ 0 \\ 0 \\ 1 \\ 0 \\ 1 \\ 0
 +
\end{bmatrix}
 +
</math>
 +
|}
    
: 'ls' = "lover of a servant of ---" =
 
: 'ls' = "lover of a servant of ---" =
Jon Awbrey
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