Mathematics

Quantum Mechanics, Mathematics, Cognition and Action: by Mioara Mugur-Schächter, Alwyn van der Merwe

By Mioara Mugur-Schächter, Alwyn van der Merwe

The aim of this article is to introduce a brand new self-discipline, a formalized epistemological strategy drawn from the cognitive recommendations practiced within the top-rated one of the sleek medical disciplines. textual content is addressed to philosophers of technology, physicists, mathematicians, logicians, researchers in cognitive sciences, and biologists.

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Additional resources for Quantum Mechanics, Mathematics, Cognition and Action: Proposals for a Formalized Epistemology

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It is quite essential, I think, to hinder such a confusion from the start on: A ‘formalized epistemology’ in our sense is not an epistemology of science in general or of some particular sciences. It is a formalization of general epistemological methods, drawn from the most performing nowadays sciences. To close now, I ask: Would a formalized epistemology make the theories converge? Personally, I have doubts, since, starting from its origins, the scientific undertaking manifests much more a tendency toward divergence than toward convergence, and it seems unreasonable to believe that an epistemology drawn from it shall head in another direction.

PATY itively, it is perceived to point toward a particular interest in formal representations, in any given area of knowledge, and in the connection of such representations with scope and meaning, and with the relationships between different fields of knowledge. In what follows, we much less intend to reach a precise definition of what a formalized epistemology should or could be, than to focus on some problems characteristic of an investigation of the type suggested by such a name and to stress both its interest and its limits.

A first version in French of the present work has already been published: “Opérations épistémiques et épistémologie formelle. ) 3 (2, December), 257-306 (1999). 2 To each one of these subjects, he dedicated a whole volume of The Philosophy of Symbolic Forms. 3 [15], Vol. 3, pp. 13-14. 4 This idea has already oriented us in other studies, in particular in our La matière dérobée (The Stealing of Matter), dealing with the conceptions of contemporary physics [64]. EPISTEMIC OPERATIONS AND FORMALIZED EPISTEMOLOGY 39 structed view of the sciences; whereas the living reality of our knowledges, their contents, their substance which generates the forms, regularly undergo changes.

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