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Chaotic logic - Language, mind and reality from the by Ben Goertzel

By Ben Goertzel

This booklet summarizes a community of interrelated rules which i've got built, on and off, during the last 8 or ten years. The underlying topic is the mental interaction of order and chaos. Or, to place it in a different way, the interaction of deduction and induction. i'll attempt to clarify the connection among logical, orderly, unsleeping, rule-following cause and fluid, self­ organizing, habit-governed, subconscious, chaos-infused instinct. My past books, The constitution of Intelligence and The Evolving brain, in short touched in this dating. yet those books have been essentially fascinated about different concerns: SI with developing a proper language for discussing mentality and its mechanization, and EM with exploring the position of evolution in concept. They danced round the edges of the order/chaos challenge, with no ever totally stepping into it. My objective in penning this booklet used to be to head on to the middle of psychological method, "where angels worry to tread" -- to take on the entire sticky concerns which it really is thought of prudent to prevent: the character of recognition, the relation among brain and truth, the justification of trust platforms, the relationship among creativity and psychological illness,.... All of those concerns are handled the following in a simple and unified method, utilizing a mix of techniques from my earlier paintings with principles from chaos idea and complicated platforms technological know-how.

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PSYCHOLOGISM AND LOGISM Today, as John MacNamara has put it, "logicians and psychologists generally behave like the men and women in an orthodox synagogue. 1). But such was not always the case. Until somewhere toward the end of nineteenth century, the two fields of logic and psychology were closely tied together. What changed things was, on the one hand, the emergence of experimental psychology; and, on the other hand, the rediscovery and development of elementary symbolic logic by Boole, deMorgan and others.

Even limited Boolean logism has its troubles. I am speaking about the simple conceptual conundrums of Boolean logic, such as Hempel's paradox of confirmation and the paradoxes of implication. These elementary "paradoxes," though so simple that one could explain them to a child, are obstacles that stand in the way of even the most unambitious Boolean logism. They cast doubt as to whether Boolean logic can ever be of any psychological relevance whatsoever. 1. Boolean Logic and Modern Logic One might well wonder, why all this emphasis on Boolean logic.

One of the biggest trends in modern practical computer science is the development of parallelprocessing computers, and it is of great interest to know when these computers can outperform conventional serial computers, and by what margin. 1. Discrete Logarithms (*) For a simple mathematical example, let us look to the theory of finite fields. A finite field is a way of doing arithmetic on a bounded set of integers. For instance, suppose one takes the field of size 13 (the size must be a prime or a prime raised to some power).

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