LEADER 05489nam 2200697 a 450 001 9910452601503321 005 20200520144314.0 010 $a1-4985-1622-X 010 $a0-7391-8033-9 035 $a(CKB)2550000001065121 035 $a(EBL)1222033 035 $a(OCoLC)852158818 035 $a(SSID)ssj0000916827 035 $a(PQKBManifestationID)12467163 035 $a(PQKBTitleCode)TC0000916827 035 $a(PQKBWorkID)10891765 035 $a(PQKB)11008195 035 $a(MiAaPQ)EBC1222033 035 $a(Au-PeEL)EBL1222033 035 $a(CaPaEBR)ebr10725928 035 $a(CaONFJC)MIL500065 035 $a(EXLCZ)992550000001065121 100 $a20130711d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFoundations of relational realism$b[electronic resource]$ea topoglogical approach to quantum mechanics and the philosophy of nature /$fMichael Epperson and Elias Zafiris 210 $aLanham, Md. $cLexington Books$dc2013 215 $a1 online resource (441 p.) 225 0$aContemporary Whitehead studies 300 $aDescription based upon print version of record. 311 $a0-7391-8032-0 311 $a1-299-68815-2 320 $aIncludes bibliographical references and index. 327 $aFOUNDATIONS OF RELATIONAL REALISM; Contents; Preface; Part I: Philosophical Foundations of Quantum Relational Realism; Chapter 1-Introduction: Relational Realism: A Program in Speculative Philosophy; 1.1 Bipolar Dualism: Reducing Contrast to Mutually Exclusive Relata; 1.2 Bipolar Dualism and the Scientific Method: The Example of Physical and Philosophical Cosmology; 1.3 The Fallacy of Misplaced Concreteness; 1.4 Dipolar Duality: Contrasts of Mutually Implicative Relata; Chapter 2: Substance and Logic in Quantum Mechanics; 2.1 'Liberating' Science from Boolean Logic: A Sisyphean Adventure 327 $a2.2 Abandoning the Logic of One World for the Logic of Many Worlds: An Unlikely Liberation2.3 Quantum Mechanics and Boolean Logic; 2.4 Internal Relations in Quantum Mechanics; 2.5 The Compatibility Condition for Logical Causality in Quantum Mechanics; 2.6 Inducing the Global from the Local; 2.7 Decoherence: Causal Relation or Logical Integration?; 2.8 EPR and Quantum Nonlocality; 2.9 Topological Relations vs. Metrical Relations: Quantum Mechanics and Spacetime; 2.10 Substance in Quantum Mechanics: Relational Realism and the Philosophy of Alfred North Whitehead 327 $aChapter 3: Predication in Quantum Mechanics3.1 EPR and Decoherence; 3.2 The Problem of Self-Reference in Quantum Systems; 3.3 Quantum Mechanics and the Theory of Logical Types; 3.4 Relations as Relata: From Set-Theoretic Classical Material Objects to Category-Theoretic Quantum Relational Events; 3.5 Summary; Chapter 4: Logical Causality in Quantum Mechanics: A Relational Realist Ontology; 4.1 Internal Relation and Logical Implication in Quantum Mechanics; 4.2 The Compatibility Condition Revisited; 4.3 The Evolution of Potentiality to Probability 327 $a4.4 Quantum Events as Dipolar Units of Relation: Their Subjective and Objective Features Are Mutually Implicative4.5 Quantum Mechanics Presupposes Logically Related Actual Occasions; 4.6 Summary; Chapter 5: Integrating Logical Relation and Extensive Relation: Mereotopology and Quantum Mechanics; 5.1 Mereotopological Notions of Internal Relation and Logical Implication; 5.2 Mereotopological Extensive Relations; 5.3 Summary; Interlude; Part II: Mathematical Foundations of Quantum Relational Realism; Chapter 6: Notion of Localization Processes; 6.1 Localization in Physical Theories 327 $a6.2 Localization Schemes6.3 The Conceptual Framework of Category Theory; 6.3.1 The Necessity of a Categorical Framework; 6.3.2 Categorical Principles and Terminology; 6.3.3 Universality and Equivalence; 6.4 The Methodology of Uniform Fibrations: Variable Set Presheaves; 6.5 The Localization Role of Topology: Covering Sieves and Sites; Chapter 7: Sheaves of Germs: The Topological Case; 7.1 Localization over a Topological Space; 7.2 Uniform Localization of Observables; 7.3 Gluing Sections and Local-to-Global Compatibility; 7.4 Contextuality: Germs and Stalks of Observable Sheaves 327 $a7.5 Completion and Functionalization: Display Bundles 330 $aFoundations of Relational Realism presents an intuitive interpretation of quantum mechanics, based on a revised decoherent histories interpretation, structured within a category theoretic topological formalism. 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