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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 17:22, 8 April 2009
, 17:22, 8 April 2009→Commentary Note 9.6
Just to be doggedly persistent about it all, here is what ought to be a sufficient sample of products involving the multiplication of a comma relative onto an absolute term, presented in both graphical and matrical representations.
Just to be doggedly persistent about it all, here is what ought to be a sufficient sample of products involving the multiplication of a comma relative onto an absolute term, presented in both graphical and matrical representations.
Example 1. Anything That Is Anything
====Example 1====
{| align="center" cellpadding="6" width="90%"
{| align="center" cellpadding="6" width="90%"
|}
|}
Example 2. Anything That Is A Man
====Example 2====
{| align="center" cellpadding="6" width="90%"
{| align="center" cellpadding="6" width="90%"
|}
|}
Example 3. Man That Is Anything
====Example 3====
{| align="center" cellpadding="6" width="90%"
| <math>\mathrm{m,}\mathbf{1} ~=~ \mathrm{m}</math>
|-
| <math>\text{man that is anything} ~=~ \text{man}</math>
<pre>
|-
|
<math>
\begin{bmatrix}
0 & 0 & 0 & 0 & 0 & 0 & 0
\\
0 & 1 & 0 & 0 & 0 & 0 & 0
\\
</pre>
0 & 0 & 0 & 0 & 0 & 0 & 0
\\
0 & 0 & 0 & 0 & 0 & 0 & 0
\\
0 & 0 & 0 & 0 & 1 & 0 & 0
\\
0 & 0 & 0 & 0 & 0 & 1 & 0
\\
0 & 0 & 0 & 0 & 0 & 0 & 1
\end{bmatrix}
\begin{bmatrix}
1 \\ 1 \\ 1 \\ 1 \\ 1 \\ 1 \\ 1
\end{bmatrix}
=
\begin{bmatrix}
0 \\ 1 \\ 0 \\ 0 \\ 1 \\ 1 \\ 1
\end{bmatrix}
</math>
|}
{| align="center" cellspacing="6" width="90%"
{| align="center" cellspacing="6" width="90%"
|}
|}
Example 4. Man That Is Noble
====Example 4====
: m,n = "man that is noble"
: m,n = "man that is noble"
|}
|}
Example 5. Noble That Is Man
====Example 5====
: n,m = "noble that is man"
: n,m = "noble that is man"