Epistemic Processes : A Basis for Statistics and Quantum Theory /: A Basis for Statistics and Quantum Theory. (2018)

• Record Type: Book
• Further Information: Note: Inge S. Helland.
• Authors: Helland, Inge S
• Contents: Intro; Preface; References; Acknowledgements; Contents; 1 The Epistemic View Upon Science; 1.1 Introduction; 1.2 Different Views on the Foundation of Quantum Mechanics; 1.3 Theory of Decisions: Focusing-Context; 1.4 The PBR Theorem. A Toy Model; 1.5 Epistemic Processes; 1.5.1 E-Variables in Simple Epistemic Questions; 1.5.2 E-Variables in Statistics; 1.5.3 E-Variables in Causal Inference; 1.5.4 E-Variables in Quantum Mechanics; 1.5.5 Real and Ideal Measurements in Quantum Mechanics; 1.5.6 Quantum States, Their Interpretations, and a Link to the Ensemble Interpretation 1.5.7 Quantum States for Spin 1/2 Particles1.5.8 Inaccessible Conceptual Variables and Complementarity; References; 2 Statistical Inference; 2.1 Basic Statistics; 2.1.1 Probability; 2.1.2 Statistical Models; 2.1.3 Inference for Continuous Parameters; 2.1.4 Inference for Discrete e-Variables; 2.2 Group Actions and Model Reduction; 2.3 Interlude; References; 3 Inference in an Epistemic Process; 3.1 Conceptual Variables and Contexts; 3.2 Data; Generalized Sufficiency and Ancillarity; 3.2.1 Sufficiency; 3.2.2 Ancillarity and Conditioning; 3.2.3 Conditioning and the Conditionality Principle 3.2.4 The Sufficiency and Likelihood Principles3.3 Prediction and Simple e-Variables; 3.4 Epistemic Processes, Decisions and Actions; References; 4 Towards Quantum Theory; 4.1 Inaccessible Conceptual Variables and Quantum Theory; 4.2 The Maximal Symmetrical Epistemic Setting; 4.3 The Toy Model of Spekkens; 4.4 The Hilbert Space Formulation; 4.4.1 Quantum Reconstruction; 4.4.2 Proof Under an Extra Assumption; 4.4.3 The Interpretation Argument; 4.5 The General Symmetrical Epistemic Setting; References; 5 Aspects of Quantum Theory; 5.1 Basic Quantum Theory; 5.1.1 The Qubit Case The Case of Dimension 25.2 More on Angular Momentum; 5.3 Continuous e-Variables: Phase Space; 5.4 A Link to Statistical Inference; 5.5 Rationality and Experimental Evidence; 5.6 The Born Formula; 5.6.1 The Basic Formula; 5.6.2 Consequences; 5.6.3 A Macroscopic Example; 5.6.4 Superselection Rules; 5.7 Measurements and Quantum Statistical Inference; 5.7.1 Simple Measurements; 5.7.2 Collapse of the Wave Packet; 5.7.3 Perfect Observations as Seen by a Single Observer; 5.7.4 Measurements; 5.7.5 Quantum Statistical Inference; 5.8 Entanglement, EPR and the Bell Theorem; 5.9 Mermin's Experiment 5.10 The Free Will Theorem5.11 The Schrödinger Equation; 5.11.1 The General Argument: Unitary Transformations and Entanglement; 5.11.2 Position as an Inaccessible Stochastic Process; 5.11.3 Nelson's Stochastic Mechanics; 5.12 The Epistemic Approach to Quantum Theory; 5.13 More on Quantum Measurements; 5.14 Discussion; 5.15 A General e-Variable Based Approach to Quantum Theory; References; 6 Macroscopic Consequences; 6.1 Philosophical Considerations; 6.2 More on the Nature of the Superior Actor; 6.3 Quantum Mechanics, Decisions, and Complementarity; References
• Publisher Details: Cham, Switzerland : Springer Nature Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 530.12; Statistics; Quantum theory; SCIENCE / Energy; SCIENCE / Mechanics / General; SCIENCE / Physics / General; Science -- Quantum Theory; Philosophy -- Epistemology; Science -- Philosophy & Social Aspects; Mathematics -- Probability & Statistics -- General; Science -- Mathematical Physics; Quantum physics (quantum mechanics & quantum field theory); Philosophy: epistemology & theory of knowledge; Philosophy of science; Probability & statistics; Statistical physics; Genetic epistemology; Science_xPhilosophy; Mathematical statistics; Statistical physics; Electronic books
• Languages: English
• ISBNs: 9783319950686; 3319950681
• Related ISBNs: 9783319950679; 3319950673
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed September 27, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.