Diamond A Paradox Logic 2nd Edition
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Diamond A Paradox Logic 2nd Edition
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Author : Nathaniel S Hellerstein
language : en
Publisher: World Scientific
Release Date : 2010-01-26
Diamond A Paradox Logic 2nd Edition written by Nathaniel S Hellerstein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-26 with Mathematics categories.
This book is about “diamond”, a logic of paradox. In diamond, a statement can be true yet false; an “imaginary” state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued Boolean logic. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer-Brown “modulator”; and Metamathematical Dilemma, which relates diamond to Gödelian metamathematics and dilemma games.
Diamond
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Author : Nathaniel S. Hellerstein
language : en
Publisher: World Scientific
Release Date : 1997
Diamond written by Nathaniel S. Hellerstein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This book is about OC diamondOCO, a logic of paradox. In diamond, a statement can be true yet false; an OC imaginaryOCO state, midway between being and non-being. Diamond''s imaginary values solve many logical paradoxes unsolvable in two-valued boolean logic. Diamond is a new way to solve the dilemmas of higher mathematics. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book consists of two sections: Elementary; which covers the classic paradoxes of mathematical logic and shows how they can be resolved in this new system; and Advanced, which relates diamond to Boolean logic, three-valued logic, GAdelian meta-mathematics and dilemma games."
Laws Of Form A Fiftieth Anniversary
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Author : Louis H Kauffman
language : en
Publisher: World Scientific
Release Date : 2023-01-09
Laws Of Form A Fiftieth Anniversary written by Louis H Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-09 with Mathematics categories.
Laws of Form is a seminal work in foundations of logic, mathematics and philosophy published by G Spencer-Brown in 1969. The book provides a new point of view on form and the role of distinction, markedness and the absence of distinction (the unmarked state) in the construction of any universe. A conference was held August 8-10, 2019 at the Old Library, Liverpool University, 19 Abercromby Square, L697ZN, UK to celebrate the 50th anniversary of the publication of Laws of Form and to remember George Spencer-Brown, its author. The book is a collection of papers introducing and extending Laws of Form written primarily by people who attended the conference in 2019.
Algebraic Invariants Of Links
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Author : Jonathan Arthur Hillman
language : en
Publisher: World Scientific
Release Date : 2012
Algebraic Invariants Of Links written by Jonathan Arthur Hillman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
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 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.
Orbiting The Moons Of Pluto Complex Solutions To The Einstein Maxwell Schrodinger And Dirac Equations
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Author : Richard L Amoroso
language : en
Publisher: World Scientific
Release Date : 2011-03-21
Orbiting The Moons Of Pluto Complex Solutions To The Einstein Maxwell Schrodinger And Dirac Equations written by Richard L Amoroso and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-21 with Science categories.
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.
An Excursion In Diagrammatic Algebra
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Author : J. Scott Carter
language : en
Publisher: World Scientific
Release Date : 2012
An Excursion In Diagrammatic Algebra written by J. Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
1. A sphere -- 2. Surfaces, folds, and cusps -- 3. The inside and outside -- 4. Dimensions -- 5. Immersed surfaces -- 6. Movies -- 7. Movie moves -- 8. Taxonomic summary -- 9. How not to turn the sphere inside-out -- 10. A physical metaphor -- 11. Sarah's thesis -- 12. The eversion -- 13. The double point and fold surfaces
Introductory Lectures On Knot Theory
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Author : Louis H. Kauffman
language : en
Publisher: World Scientific
Release Date : 2012
Introductory Lectures On Knot Theory written by Louis H. Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heegaard-Floer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with four-dimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book.
Scientific Essays In Honor Of H Pierre Noyes On The Occasion Of His 90th Birthday
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Author : Louis H Kauffman
language : en
Publisher: World Scientific
Release Date : 2013-11-26
Scientific Essays In Honor Of H Pierre Noyes On The Occasion Of His 90th Birthday written by Louis H Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-26 with Science categories.
This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes. The book is a representative selection of papers on the topics that have been central to the meetings over the last three decades of ANPA, the Alternative Natural Philosophy Association. ANPA was founded by Pierre Noyes and his colleagues the philosopher-linguist-physicist Frederick Parker-Rhodes, the physicist Ted Bastin, and the mathematicians Clive Kilmister, John Amson.Many of the topics in the book center on the combinatorial hierarchy discovered by the originators of ANPA. Other topics explore geometrical, cosmological and biological aspects of those ideas, and foundational aspects related to discrete physics and emergent quantum mechanics.The book will be useful to readers interested in fundamental physics, and particularly to readers looking for new and important viewpoints in Science that contain the seeds of futurity.
Hopf Algebras
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Author : David E. Radford
language : en
Publisher: World Scientific
Release Date : 2012
Hopf Algebras written by David E. Radford and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.
Introduction To The Anisotropic Geometrodynamics
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Author : Sergey Siparov
language : en
Publisher: World Scientific
Release Date : 2012
Introduction To The Anisotropic Geometrodynamics written by Sergey Siparov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
1. Classical relativity : scope and beyond. 1.1. Physics and mathematics : long joint journey. 1.2. Inertial motion, relativity, special relativity. 1.3. Space-time as a model of the physical world. 1.4. Generalized theory of relativity and gravitation. 1.5. GRT - first approximation - predictions and tests. 1.6. Exact solutions. 1.7. Observations on the cosmological scale -- 2. Phase space-time as a model of physical reality. 2.1. Preliminary considerations. 2.2. Interpretation dilemma, variation principle, equivalence principle. 2.3. Construction of the formalism. 2.4. Gravitation force in anisotropic geometrodynamics. 2.5. Model of the gravitation source and its applications. 2.6. Electrodynamics in anisotropic space. 2.7. Approaching phase space-time. 2.8. Cosmological picture -- 3. Optic-metrical parametric resonance - to the testing of the anisotropic geometrodynamics. 3.1. Gravitation waves detection and the general idea of opticmetrical parametric resonance. 3.2. OMPR in space maser. 3.3. Astrophysical systems. 3.4. Observations and interpretations. 3.5. On the search for the space-time anisotropy in Milky Way observations
