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Thursday, July 28, 2011

Quantum Logic 2


Everything I dreamed about the other night has been done, and precisely I was dreaming about some form of a "fuzzy" logic, wherein a truth value may have a range, such as from 0 to 1 and taking on fractional values.
Sort of.

What I actually have in mind is a logic where any given truth value "V" takes on a range of values that are also "rules of generation" of cellular automata. As we step through "time" and apply these rules to create a new step of the cellular automaton, we are generating a different truth value snapshot.

Following this approach, and using a two dimensional  basic grid to generate a cellular automaton, with 2 colors, white and black, we might say that the cellular automaton that results in all white squares is true and that which results in all black squares  is false, and the 254 others are the other truth values, some repetitive and some chaotic.

So what? What good is a two-dimensional truth value? How many dimensions of truth are there?
Some would be static, such as all white and all black; some would be various patterns, endlessly repeating; and some would be complex and chaotic, forming new patterns and never repeating.
Some would be "interesting" while others would be bland. Some would be "enchanting" and some would be "fascinating". It seems to enmesh the human being into the web of the logic.

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