By Ben Goertzel
This ebook summarizes a community of interrelated principles which i've got constructed, on and off, over the last 8 or ten years. The underlying subject matter 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, awake, rule-following cause and fluid, self organizing, habit-governed, subconscious, chaos-infused instinct. My earlier books, The constitution of Intelligence and The Evolving brain, in short touched in this dating. yet those books have been basically desirous about different concerns: SI with developing a proper language for discussing mentality and its mechanization, and EM with exploring the function of evolution in inspiration. They danced round the edges of the order/chaos challenge, with no ever absolutely moving into it. My target in scripting this ebook was once to move on to the center of psychological method, "where angels worry to tread" -- to take on the entire sticky matters which it's thought of prudent to prevent: the character of cognizance, the relation among brain and truth, the justification of trust platforms, the relationship among creativity and psychological illness,.... All of those concerns are handled right here in an easy and unified method, utilizing a mix of innovations from my prior paintings with principles from chaos concept and intricate platforms technological know-how.
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Additional resources for Chaotic Logic - Language, Mind and Reality from the Perspective of Complex Systems Science
It was increasingly realized on both sides that the formulas of propositional logic have little connection with emotional, intuitive, ordinary everyday thought. Of course, no one denies that there is some relation between psychology and logic. After all, logical reasoning takes place within the mind. The question is whether mathematical logic is a very special kind of mental process, or whether, on the other hand, it is closely connected with everyday thought processes. And, beginning around a century ago, both logicians and psychologists have overwhelmingly voted for the former answer.
But Frege countered that "this account makes everything subjective, and if we follow it through to the end, does away with truth" (1959, p. vii). He proposed that truth must be given a non-psychological definition, one independent of the dynamics of any particular mind. This Fregean conception of truth received its fullestexpression in Tarski's (1935) and Montague's (1974) work on formal semantics, to be discussed in Chapter Five. To someone acquainted with formal logic only in its recent manifestations, the very concept of psychologism is likely to seem absurd.
But the derivation is fairly lengthy and time-consuming. So if one has a brief list of data regarding planetary position, it is quite possible that Kepler's observation will be a significant pattern, but Newton's Three Laws will not. What is involved here is the complexity of producing x from the process y. If this complexity is too great, then no matter how simple the process y, y will not be a pattern in x. 1. , Wn} be a subset of W, called the set of initials. ). ,Fn} be a set of transformations; that is, a set of functions each of which maps some elements of W* into elements of A.