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Revision as of 22:01, 10 April 2009
, 22:01, 10 April 2009→Commentary Note 8.2
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===Commentary Note 8.2===
===Commentary Note 8.2===
−I will continue with my commentary on CP 3.73, developing the Othello example as a way of illustrating its concepts.
+I will continue with my commentary on CP 3.73, developing the Othello example as a way of illustrating its concepts.
In the development of the story so far, we have a universe of discourse that can be characterized by means of the following system of equations:
In the development of the story so far, we have a universe of discourse that can be characterized by means of the following system of equations:
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|
<math>\begin{array}{*{15}{c}}
<math>\begin{array}{*{15}{c}}
−1
+\mathbf{1}
−& = &
+& = & \mathrm{B}
−\mathrm{B}
+& +\!\!, & \mathrm{C}
−& +\!\!, &
+& +\!\!, & \mathrm{D}
−\mathrm{C}
+& +\!\!, & \mathrm{E}
−& +\!\!, &
+& +\!\!, & \mathrm{I}
−\mathrm{D}
+& +\!\!, & \mathrm{J}
−& +\!\!, &
+& +\!\!, & \mathrm{O}
−\mathrm{E}
−& +\!\!, &
−\mathrm{I}
−& +\!\!, &
−\mathrm{J}
−& +\!\!, &
−\mathrm{O}
\\[6pt]
\\[6pt]
\mathrm{b}
\mathrm{b}
−& = &
+& = & \mathrm{O}
−\mathrm{O}
\\[6pt]
\\[6pt]
\mathrm{m}
\mathrm{m}
−& = &
+& = & \mathrm{C}
−\mathrm{C}
+& +\!\!, & \mathrm{I}
−& +\!\!, &
+& +\!\!, & \mathrm{J}
−\mathrm{I}
+& +\!\!, & \mathrm{O}
−& +\!\!, &
−\mathrm{J}
−& +\!\!, &
−\mathrm{O}
\\[6pt]
\\[6pt]
\mathrm{w}
\mathrm{w}
−& = &
+& = & \mathrm{B}
−\mathrm{B}
+& +\!\!, & \mathrm{D}
−& +\!\!, &
+& +\!\!, & \mathrm{E}
−\mathrm{D}
−& +\!\!, &
−\mathrm{E}
\end{array}</math>
\end{array}</math>
|}
|}
