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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives
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Revision as of 20:48, 7 April 2009
431 bytes added
,
20:48, 7 April 2009
→Commentary Note 9.5
Line 2,166:
Line 2,166:
Naturally enough, the diagonal extensions are represented by diagonal matrices:
Naturally enough, the diagonal extensions are represented by diagonal matrices:
−
<
pre
>
+
{| align="center" cellspacing="6" width="90%"
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!
1
!|
B C D E I J O
+
|
−
---
o
---------------
+
<
math
>
\begin{array}{c|ccccccc}
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B
|
1 0 0 0 0 0 0
+
\mathbf{
1
,} &
−
C
|
0 1 0 0 0 0 0
+
\mathrm{
B
} &
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D
|
0 0 1 0 0 0 0
+
\mathrm{
C
} &
−
E
|
0 0 0 1 0 0 0
+
\mathrm{
D
} &
−
I
|
0 0 0 0 1 0 0
+
\mathrm{
E
} &
−
J
|
0 0 0 0 0 1 0
+
\mathrm{
I
} &
−
O
|
0 0 0 0 0 0 1
+
\mathrm{
J
} &
−
</
pre
>
+
\mathrm{
O
}
+
\\
+
\text{
---
} &
+
\text{
---
} &
+
\text{
---
} &
+
\text{
---
} &
+
\text{
---
} &
+
\text{
---
} &
+
\text{---}
&
+
\text{---}
+
\\
+
\mathrm{
B
} &
1
&
0
&
0
&
0
&
0
&
0
&
0
+
\\
+
\mathrm{
C
} &
0
&
1
&
0
&
0
&
0
&
0
&
0
+
\\
+
\mathrm{
D
} &
0
&
0
&
1
&
0
&
0
&
0
&
0
+
\\
+
\mathrm{
E
} &
0
&
0
&
0
&
1
&
0
&
0
&
0
+
\\
+
\mathrm{
I
} &
0
&
0
&
0
&
0
&
1
&
0
&
0
+
\\
+
\mathrm{
J
} &
0
&
0
&
0
&
0
&
0
&
1
&
0
+
\\
+
\mathrm{
O
} &
0
&
0
&
0
&
0
&
0
&
0
&
1
+
\end{array}
</
math
>
+
|}
<pre>
<pre>
Jon Awbrey
12,080
edits