By G. Kampis
The subject matter of this publication is the self-generation of knowledge by means of the self-modification of platforms. the writer explains why organic and cognitive methods express identification alterations within the mathematical and logical experience. this idea is the root of a brand new organizational precept which makes use of shifts of the interior semantic kin in platforms. There are mathematical discussions of varied periods of platforms (Turing machines, input-output platforms, synergetic structures, non-linear dynamics etc), that are contrasted with the author's new precept. crucial implications of this comprise a brand new perception at the nature of knowledge and which additionally presents a brand new and coherent conceptual view of a large category of normal structures. This publication benefits the eye of all philosophers and scientists concerned about the way in which we create fact in our mathematical representations of the realm and the relationship these representations have with the best way issues rather are
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Extra info for Self-Modifying Systems in Biology and Cognitive Science. A New Framework for Dynamics, Information and Complexity
Example text
Weyl to reject many results of modern analysis and set theory. The constructivists claimed that kind of mathematics is an 'asylum'. Formalism and constructivism later converged together in the work of Godei whose results invalidate 34 MODELS AND CONSTRUCTIVISM both (by showing there are true statements that system unprovable by any procedure). are in a given The summary of the constructivist positions is this: they considered infinite sets as ill-defined constructs, operations on them as meaningless, and indirect proofs (as well as indirect definitions) as dangerous embroideries of mind.
Hence, all knowledge is incomplete, fragmented, and second-hand. There is a fact of purely logical nature that explains this situation in scientific inquiry. In the Western tradition of thought, there is always a separation, a logical distinction drawn between the parts of reality to be studied and the ones that perform the study; in other words, as G. Spencer-Brown (1969) says, our universe comes into being, in the logical respect, when it is severed into distinct parts, into domains. This implies object-subject separation.
It might be illuminating to recall what Aristotle said about causality. He formulated the thesis that the task of science is to study the 'why of things'. Now, if we raise this question, the answer is always a 'because*; and Aristotle identified four distinct categories of such answers: four ways of saying 'because'. The question about the position xt at t of a moving body can be answered, according to Aristotle, in the following inequivalent ways. It is in position xt, (1) because of its material properties (2) because of some agent that forces it to go there (3) because its path was formed, or designed so (4) because it is to arrive at xt,in t', where t' > t (material cause); (efficient cause); (formal cause); (final cause).