Forgetfulness Of Purpose • 8 http://inquiryintoinquiry.com/2015/10/12/forgetfulness-of-purpose-%e2%80%a2-8/
Re: Peirce List Discussion http://comments.gmane.org/gmane.science.philosophy.peirce/17157 http://comments.gmane.org/gmane.science.philosophy.peirce/17198 Peircers, I have some travel and other business coming up that will no doubt cause me to forget what I was thinking about over the last couple of weeks, so here is my try at summing up the current state of discussion on the cybernetics and semiotics of purpose, in hopes it will help me remember when I get back. Just to review, we were looking at Ashby's example of a regulation game as given below. Table 11/3/1 `````|```R``` `````|`α`β`γ` =====|======= ```1`|`b`a`c` D `2`|`a`c`b` ```3`|`c`b`a` I observed that this gives us a triadic relation G₁ ⊆ D × R × O whose triples are listed next. D R O ===== 1 α b 1 β a 1 γ c 2 α a 2 β c 2 γ b 3 α c 3 β b 3 γ a Sungchul Ji raised a question about the irreducibility of G₁ as a triadic relation, suggesting that it would imply a degree of “communication” or “transfer of information” between D and R as constrained by the relation G₁. 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 types 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 G₁ as a triadic relation can be investigated more directly, without considering the information question, so I will try that tack first. Reference ========= Ashby, W.R. (1956), An Introduction to Cybernetics, Chapman and Hall, London, UK. Republished by Methuen and Company, London, UK, 1964. http://pespmc1.vub.ac.be/books/IntroCyb.pdf -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ inquiry list: http://stderr.org/pipermail/inquiry/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache
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