Author: Ralph E. Kenyon, Jr. (diogenes) Saturday, September 10, 2005 - 11:12 pm |
I recommend three books. |
Author: Ralph E. Kenyon, Jr. (diogenes) Saturday, October 1, 2005 - 12:33 am |
quote{ ME: The question remains, what work has been done in GS as to its application?
I particularly liked this bit: http://www.xenodochy.org/ex/quotes/eurisko.html
A "multi-valued" logic system involves a finite state machine which takes input values from the set of allowed states and produces an output in the set. In binary logic there are two states, represented by "0" and "1" and three machines (which can be represented by "and", "or", and "not"). In tertiary logic there are three states, which can be represented by "0", "1", and "2". In Probability theory, there are "an infinity" of possibilities, the likelyhood of each is expressed by a number in the range of 0 to 1, where "0" and "1" represent "impossible" and "certain" respectively. These are the logics that Korzybski had some exposure to. Fuzzy logic uses characteristics of both of the former and the latter to create "measures" of set membership using an imprecise set of individual properties. Because the measures are not limited to "impossible" and "certain", the results of various operations that we might like to correlate with logical inference are themselves "uncertain". Some recent work: http://www-bisc.cs.berkeley.edu/BISCProgram/default.htm "Toward a Generalized Theory of Uncertainty (GTU)—An Outline, Information Sciences, 2005."
It should probably be pointed out that computers should not be seen as implementing pure "binary" logic, because many devices use three states, high, low, and disconnected - the high impedence state. The simplest devices (latch & driver) have an input lines, an output lines, and a control lines which enable when the input or output lines are active. The simplest one-bit memory cell has three possible outputs high, low, and disabled. My inclination is to think of computers as using tertiary logic to manage binary logic. Regards, http://www.xenodochy.org/ralph.html http://www.xenodochy.org/gs/ |