In this revolutionary work, the author sets the stage for the science of the 21st Century, pursuing an unprecedented synthesis of fields previously considered unrelated. Beginning with simple classical concepts, he ends with a complex multidisciplinary theory requiring a high level of abstraction. The work progresses across the sciences in several multidisciplinary directions: Mathematical logic, fundamental physics, computer science and the theory of intelligence. Extraordinarily enough, the author breaks new ground in all these fields.
In the field of fundamental physics the author reaches the revolutionary conclusion that physics can be viewed and studied as logic in a fundamental sense, as compared with Einstein's view of physics as space-time geometry. This opens new, exciting prospects for the study of fundamental interactions. A formulation of logic in terms of matrix operators and logic vector spaces allows the author to tackle for the first time the intractable problem of cognition in a scientific manner. In the same way as the findings of Heisenberg and Dirac in the 1930s provided a conceptual and mathematical foundation for quantum physics, matrix operator logic supports an important breakthrough in the study of the physics of the mind, which is interpreted as a fractal of quantum mechanics. Introducing a concept of logic quantum numbers, the author concludes that the problem of logic and the intelligence code in general can be effectively formulated as eigenvalue problems similar to those of theoretical physics. With this important leap forward in the study of the mechanism of mind, the author concludes that the latter cannot be fully understood either within classical or quantum notions. A h
Introduction. 1. Conventional logic. Deterministic systems: Binary intelligence. Multivalued logic. Probability logic: Negation. Conjunction. Disjunction. Conditional. 2. Matrix logic. Logic space. Discrete universe discrete logic: Atomic transformations. Matrix strings. Intelligence code. Continuous universe modal logic: Semitruth. Multiplication table. Correction terms. Universum operator. Differential logic. 3. Intelligent interaction. Antilogic: Matrix inverses. Vacuum interactions. Chronologic. Artificial intelligence: Forbidden interactions. Autoproducts. Logic quantum numbers: Observables. Logic eigenequations. Compatibility. Connectives as numbers. Diagonalization. Fractal quantum mechanics. Annihilation and creation operators: Spacetime diagrams. Concept formation. Bosons and fermions. A logic model of matter. Tensor logic: Hyperconnectives. Fractal logic operators. Logic subspaces.
4. Problems and solutions. Index.
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- © North Holland 1992
- 12th February 1992
- North Holland
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@from:J.H. Frenster @qu:The invention of logic operator matrix symbolization is brilliant. @source:Journal of Mathematical Psychology