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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 22:13, 7 April 2009
, 22:13, 7 April 2009→Commentary Note 9.5
Naturally enough, the diagonal extensions are represented by diagonal matrices:
Naturally enough, the diagonal extensions are represented by diagonal matrices:
<br>
{| align="center" cellspacing="6" width="90%"
{| align="center" cellspacing="6" width="90%"
\text{---}
\text{---}
\\
\\
\mathrm{B} & 1 & 0 & 0 & 0 & 0 & 0 & 0
\mathrm{B} & 1 & & & & & &
\\
\\
\mathrm{C} & 0 & 1 & 0 & 0 & 0 & 0 & 0
\mathrm{C} & & 1 & & & & &
\\
\\
\mathrm{D} & 0 & 0 & 1 & 0 & 0 & 0 & 0
\mathrm{D} & & & 1 & & & &
\\
\\
\mathrm{E} & 0 & 0 & 0 & 1 & 0 & 0 & 0
\mathrm{E} & & & & 1 & & &
\\
\\
\mathrm{I} & 0 & 0 & 0 & 0 & 1 & 0 & 0
\mathrm{I} & & & & & 1 & &
\\
\\
\mathrm{J} & 0 & 0 & 0 & 0 & 0 & 1 & 0
\mathrm{J} & & & & & & 1 &
\\
\\
\mathrm{O} & 0 & 0 & 0 & 0 & 0 & 0 & 1
\mathrm{O} & & & & & & & 1
\end{array}</math>
\end{array}</math>
|}
|}
<pre>
<br>
---o---------------
{| align="center" cellspacing="6" width="90%"
B | 0 0 0 0 0 0 0
|
<math>\begin{array}{c|ccccccc}
\mathrm{m,} &
\mathrm{B} &
\mathrm{C} &
\mathrm{D} &
\mathrm{E} &
</pre>
\mathrm{I} &
\mathrm{J} &
\mathrm{O}
\\
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---}
\\
\mathrm{B} & 0 & & & & & &
\\
\mathrm{C} & & 1 & & & & &
\\
\mathrm{D} & & & 0 & & & &
\\
\mathrm{E} & & & & 0 & & &
\\
\mathrm{I} & & & & & 1 & &
\\
\mathrm{J} & & & & & & 1 &
\\
\mathrm{O} & & & & & & & 1
\end{array}</math>
|}
<pre>
<pre>