By Ben Goertzel
This booklet summarizes a community of interrelated rules which i've got constructed, on and off, over the last 8 or ten years. The underlying subject is the mental interaction of order and chaos. Or, to place it in a different way, the interaction of deduction and induction. i'm going to attempt to clarify the connection among logical, orderly, wakeful, rule-following cause and fluid, self organizing, habit-governed, subconscious, chaos-infused instinct. My prior books, The constitution of Intelligence and The Evolving brain, in short touched in this courting. yet those books have been basically concerned about different issues: SI with developing a proper language for discussing mentality and its mechanization, and EM with exploring the function of evolution in idea. They danced round the edges of the order/chaos challenge, with no ever absolutely moving into it. My target in penning this e-book used to be to head on to the center of psychological technique, "where angels worry to tread" -- to take on all of the sticky matters which it truly is thought of prudent to prevent: the character of cognizance, the relation among brain and truth, the justification of trust structures, the relationship among creativity and psychological illness,.... All of those concerns are handled right here in a simple and unified manner, utilizing a mixture of options from my past paintings with principles from chaos concept and complicated platforms technology.
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Extra resources for Chaotic Logic: Language, mind and Reality from the Perspective of Complex Systems Science
Propositions are divided into classes and the inference from A to A+B is allowed only when A and B are in the same class. " For instance, one might have one class for statements about physics, one for statements about women, et cetera. The formation of A or B is allowed only if A and B belong to the same class. A contradiction regarding one of these classes can therefore destroy only reasoning within that class. So if one contradicted oneself when thinking about one's relations with one's wife, then this might give one the ability to deduce any statement whatsoever about domestic relations -but not about physics or car parking or philosophy.
Simulation makes some use of reasoning from similarity of results to similarity transformation sequences -- because one may be able to guess what the results of a certain transformation sequence will be, and then one will want to know what similar transformation sequences have led to, in order to assess the plausibility of one's guess. And deduction makes some use of reasoning from similarity of transformation sequences to similarity of results -- one may have an idea for a "proof strategy," and use analogical reasoning to make a guess at whether this strategy will lead to anything interesting.
Even if one adds a dozen or a thousand or a million processors, the same conclusion seems to hold. Only if one adds a number of processors roughly proportional to 2n can one obtain a significant advantage from parallelism. In general, all systems of equations called chaotic possess similar properties. These include equations modeling the weather, the flow of blood through the body, the motions of planets in solar systems, and the flow of electricity in the brain. The mathematics of these systems is still in a phase of rapid development.