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NonBoolean Descriptions for MindMatter Problems
"... A framework for the mindmatter problem in a holistic universe which has no parts is outlined. The conceptual structure of modern quantum theory suggests to use complementary Boolean descriptions as elements for a more comprehensive nonBoolean description of a world without an apriorigiven mindmat ..."
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A framework for the mindmatter problem in a holistic universe which has no parts is outlined. The conceptual structure of modern quantum theory suggests to use complementary Boolean descriptions as elements for a more comprehensive nonBoolean description of a world without an apriorigiven mindmatter distinction. Such a description in terms of a locally Boolean but globally nonBoolean structure makes allowance for the fact that Boolean descriptions play a privileged role in science. If we accept the insight that there are no ultimate building blocks, the existence of holistic correlations between contextually chosen parts is a natural consequence. The main problem of a genuinely nonBoolean description is to find an appropriate partition of the universe of discourse. If we adopt the idea that all fundamental laws of physics are invariant under time translations, then we can consider a partition of the world into a tenseless and a tensed domain. In the sense of a regulative principle, the material domain is defined as the tenseless domain with its homogeneous time. The tensed domain contains the mental domain with a tensed time characterized by a privileged position, the Now. Since this partition refers to two complementary descriptions which are not given apriori,wehavetoexpectcorrelations between these two domains. In physics it corresponds to Newton’s separation of universal laws of nature and contingent initial conditions. Both descriptions have a nonBoolean structure and can be encompassed into a single nonBoolean description. Tensed and tenseless time can be synchronized by holistic correlations. 1.
J. Andrew Ross Roads to Reality Penrose and Wolfram Compared Contenders
"... and collaborator with Stephen Hawking on black hole theory, has written ‘a complete guide to the laws of the universe ’ called The Road to Reality. 1 His publisher calls it the most important and ambitious work of science for a generation. Penrose caused a furore in the world of consciousness studie ..."
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and collaborator with Stephen Hawking on black hole theory, has written ‘a complete guide to the laws of the universe ’ called The Road to Reality. 1 His publisher calls it the most important and ambitious work of science for a generation. Penrose caused a furore in the world of consciousness studies with his 1989 book The Emperor’s New Mind, which conjectured a new mechanism for consciousness and kept a faithful band of researchers busy for a decade with models based on microtubules and the like. Sadly, the idea fizzled out. The title of the 2002 Tucson ‘Toward a Science of Consciousness ’ conference poetry slam winner was: Microtubules — my ass! Stephen Wolfram, by contrast, is a maverick loner. Educated at Eton, Oxford, and Caltech, recipient of a MacArthur ‘genius ’ award, multimillionaire creator of Mathematica — ‘now the world’s leading software system for technical computing and symbolic programming ’ (to cite his own dust jacket blurb), he is both author and publisher of the massive volume A New Kind of Science. 2 He regards it as the most important and ambitious work of science for three centuries. Yes, Wolfram wishes to be known as the next Newton. He sees human mental processes as embodied computations and hence as equivalent to many irreducible processes in nature, such as weather or the particle dance in rocks. Whose book should you read? Correspondence:
The Problem of Identity and a Justification for NonReflexive Quantum Mechanics
"... In this paper we try to justify our way of looking for an alternative approach to quantum mechanics, which is based on a nonclassical logic. We consider two specific questions related to quantum theory, namely, entanglement and the indiscernibility of quanta. We characterize individuals, and then e ..."
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In this paper we try to justify our way of looking for an alternative approach to quantum mechanics, which is based on a nonclassical logic. We consider two specific questions related to quantum theory, namely, entanglement and the indiscernibility of quanta. We characterize individuals, and then explain in what sense entanglement is a concept which can be applied to individuals in a restricted sense only. Then, we turn to indiscernibility and, after realizing that this concept is of a fundamental importance, we mention the ‘traditional ’ theory of identity (TTI) of standard logic and mathematics, which underly the basic formalism of quantum theory. Then we propose to call the Problem of Identity the question whether identity of objects can be justified, and under what conditions. As in the Hume’s celebrated Problem of Induction, we conclude that the attribution of transtemporal identity to an object (either a macroscopic or a microscopic one) has no logic justification, and must be considered as a metaphysical hypothesis. Numerical identity is also put aside for similar reasons. Then we guess that identity is just an useful concept, but which in certain fields, mainly in the quantum realm, could be substituted by a weaker concept of indiscernibility. This assumption motivates us to look for an interpretation of quantum mechanics based on a nonclassical logic, termed nonreflexive, and the corresponding mechanics is called nonreflexive quantum mechanics.