Forgetfulness Of Purpose • 6

Posted on October 5, 2015 by Jon Awbrey

Just enough time for an incidental observation.

Consider the table Ashby uses to describe his first example of a regulation game.

\begin{array}{cc|ccc} \multicolumn{5}{c}{\text{Table 11/3/1}} \\[4pt] & & & R & \\ & & \alpha & \beta & \gamma \\ \hline & 1 & b & a & c \\ D & 2 & a & c & b \\ & 3 & c & b & a \end{array}

A table like that is a compact way of describing a triadic relation, in this case a relation L \subseteq D \times R \times O whose triples are displayed in the following relational data table.

\begin{matrix} D & R & O \\ \hline 1 & \alpha & b \\ 1 & \beta & a \\ 1 & \gamma & c \\ 2 & \alpha & a \\ 2 & \beta & c \\ 2 & \gamma & b \\ 3 & \alpha & c \\ 3 & \beta & b \\ 3 & \gamma & a \end{matrix}

May you find food for thought, a late night snack on those tables.

Reference

  • Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK.  Republished by Methuen and Company, London, UK, 1964.  Online.
This entry was posted in Anamnesis, Ashby, C.S. Peirce, Cybernetics, Memory, Peirce, Pragmata, Purpose, Systems Theory and tagged , , , , , , , , . Bookmark the permalink.

1 Response to Forgetfulness Of Purpose • 6

  1. Pingback: Homunculomorphisms • 1 | Inquiry Into Inquiry

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