Re: Peirce List Discussion • (1) • (2)
Just to review, we were looking at Ashby’s example of a regulation game as given below.
![\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}](https://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7Bcc%7Cccc%7D++%5Cmulticolumn%7B5%7D%7Bc%7D%7B%5Ctext%7BTable+11%2F3%2F1%7D%7D+%5C%5C%5B4pt%5D++%26+%26+%26+R+%26+%5C%5C++%26+%26+%5Calpha+%26+%5Cbeta+%26+%5Cgamma+%5C%5C++%5Chline++%26+1+%26+b+%26+a+%26+c+%5C%5C++D+%26+2+%26+a+%26+c+%26+b+%5C%5C++%26+3+%26+c+%26+b+%26+a++%5Cend%7Barray%7D&bg=ffffff&fg=000000&s=0&c=20201002)
I observed that this gives us a triadic relation 
Sungchul Ji raised a question about the irreducibility of 
For the moment I remain puzzled how we ought to measure various orders and quantities of information that affect the play of regulation games. That question evidently depends on the kinds of structures that are key to the regulation task. The quickest way to gain information on those scores is probably to read a little further in Ashby’s text, so I will set a goal of doing that.
On the other hand, the irreducibility of
Reference
- Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK. Republished by Methuen and Company, London, UK, 1964. Online.
Inquiry Into Inquiry 
Pingback: Homunculomorphisms • 1 | Inquiry Into Inquiry