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Author: Nathaniel S Hellerstein
Publisher: World Scientific
ISBN: 9814497037
Category : Mathematics
Languages : en
Pages : 290
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Book Description
This book is about “delta”, a paradox logic. In delta, a statement can be true yet false; an intermediate state, midway between being and non-being. Delta's imaginary value solves many paradoxes unsolvable in two-valued Boolean logic, including Russell's, Cantor's, Berry's and Zeno's.Delta has three parts: “inner delta logic”, covering “Kleenean logic”, which resolves self-reference; outer delta logic, covering Z mod 3, conjugate logics, cyclic distribution, and the voter's paradox; and “beyond delta logic”, covering four-valued logic and games.
Author: Nathaniel S Hellerstein
Publisher: World Scientific
ISBN: 9814497037
Category : Mathematics
Languages : en
Pages : 290
Get Book Here
Book Description
This book is about “delta”, a paradox logic. In delta, a statement can be true yet false; an intermediate state, midway between being and non-being. Delta's imaginary value solves many paradoxes unsolvable in two-valued Boolean logic, including Russell's, Cantor's, Berry's and Zeno's.Delta has three parts: “inner delta logic”, covering “Kleenean logic”, which resolves self-reference; outer delta logic, covering Z mod 3, conjugate logics, cyclic distribution, and the voter's paradox; and “beyond delta logic”, covering four-valued logic and games.
Author: Gerald H. Thomas
Publisher: World Scientific
ISBN: 9812774475
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics. To better approximate reality, it extends game theory beyond the two-player set piece. The book begins where former game theory literature ends OCo with multi-person games on a world stage. It encompasses many of the variables encountered in strategic planning, using mathematics borrowed from physics and engineering, rather than the economic models which have not proven to be good in predicting reality. Sample Chapter(s). Chapter 1: Introduction (1,364 KB). Contents: Rules-of-the-Game; Flow of Strategic-Mass; Game Symmetries; Analysis; Graphical Presentation; Applications and Open Problems; Appendices: Thermodynamics; Symmetry in Differential Geometry; Central Strategies; Single Strategy Model; Single Strategy Numerical Solutions; Streamlines; Player Fluid. Readership: Mathematicians and scientists who wish to broaden their understanding of economic possibilities using game theory."
Author: N. S. K. Hellerstein
Publisher: World Scientific
ISBN: 9789812796080
Category : Mathematics
Languages : en
Pages : 296
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Book Description
This book is about OC deltaOCO, a paradox logic. In delta, a statement can be true yet false; an intermediate state, midway between being and non-being. Delta''s imaginary value solves many paradoxes unsolvable in two-valued Boolean logic, including Russell''s, Cantor''s, Berry''s and Zeno''s.Delta has three parts: OC inner delta logicOCO, covering OC Kleenean logicOCO, which resolves self-reference; outer delta logic, covering Z mod 3, conjugate logics, cyclic distribution, and the voter''s paradox; and OC beyond delta logicOCO, covering four-valued logic and games."
Author: Richard L Amoroso
Publisher: World Scientific
ISBN: 9814462950
Category : Science
Languages : en
Pages : 412
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Book Description
The Maxwell, Einstein, Schrödinger and Dirac equations are considered the most important equations in all of physics. This volume aims to provide new eight- and twelve-dimensional complex solutions to these equations for the first time in order to reveal their richness and continued importance for advancing fundamental Physics. If M-Theory is to keep its promise of defining the ultimate structure of matter and spacetime, it is only through the topological configurations of additional dimensionality (or degrees of freedom) that this will be possible. Stretching the exploration of complex space through all of the main equations of Physics should help tighten the noose on “the” fundamental theory. This kind of exploration of higher dimensional spacetime has for the most part been neglected by M-theorists and physicists in general and is taken to its penultimate form here.
Author: Jonathan Arthur Hillman
Publisher: World Scientific
ISBN: 9814407399
Category : Mathematics
Languages : en
Pages : 370
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Book Description
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology. This second edition introduces two new chapters OCo twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
Author: Tomotada Ohtsuki
Publisher: World Scientific
ISBN: 9810246757
Category : Science
Languages : en
Pages : 508
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Book Description
This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern-Simons field theory and the Wess-Zumino-Witten model are described as the physical background of the invariants.
Author: Steven M Rosen
Publisher: World Scientific
ISBN: 9814474177
Category : Science
Languages : en
Pages : 291
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Book Description
This unique book offers an original way of thinking about two of the most significant problems confronting modern theoretical physics: the unification of the forces of nature and the evolution of the universe. In bringing out the inadequacies of the prevailing approach to these questions, the author demonstrates the need for more than just a new theory. The meanings of space and time themselves must be radically rethought, which requires a whole new philosophical foundation. To this end, the book turns to the phenomenological writings of Maurice Merleau-Ponty and Martin Heidegger. Their insights into space and time bring the natural world to life in a manner well-suited to the dynamic phenomena of contemporary physics.In aligning continental thought with problems in physics and cosmology, the book makes use of topology. Phenomenological intuitions about space and time are systematically fleshed out via an unconventional and innovative approach to this qualitative branch of mathematics. The author's pioneering work in topological phenomenology is applied to such topics as quantum gravity, cosmogony, symmetry, spin, vorticity, dimension theory, Kaluza-Klein and string theories, fermion-boson interrelatedness, hypernumbers, and the mind-matter interface.
Author: James D. Edmonds
Publisher: World Scientific
ISBN: 9810228511
Category : Science
Languages : en
Pages : 354
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Book Description
It now appears that the old argument about Lorentz vs Galileo relativity is passing into history. The Lorentz symmetry may soon become obsolete itself just as the Galileo symmetry did about 1900. The tremendous successes of QED represent real progress in our quest to understand nature. The answer is not to go as most ?outsiders? but to go forward ? beyond to new ideas and equations that will match nature even better than QED does. This book shows us a new view of relativity and quantum equations. It has new equations that extend Lorentz Maxwell and Dirac.
Author: Jun O'Hara
Publisher: World Scientific
ISBN: 9812383166
Category : Mathematics
Languages : en
Pages : 306
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Book Description
Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting thorough numerical experiments.
Author: Richard L Amoroso
Publisher: World Scientific
ISBN: 9814468576
Category : Science
Languages : en
Pages : 510
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Book Description
