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Springer eBooks

Introduction—Epistemology and Probability in Quantum Theory: Physics, Mathematics, and Philosophy

Arkady Plotnitsky

Published Aug 3, 2009• 0 citations
Publisher
DOI
10.1007/978-0-387-85334-5_1

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of Epistemology III.- 1. The Chasm between S&T and the Humanities.- 2. Bridging the Chasm.- 3. Towards a Useful PS&T.- 4. Concluding Remarks.- 1. Formal Science: From Logic to Mathematics.- 1. Generalities.- 1.1 Two Main Types of Research Field.- 1.2 Some Peculiarities of Mathematics.- 2. Mathematics and Reality.- 2.1 Conceptual Existence.- 2.2 Mathematics and Reality.- 3. Logic.- 3.1 Logic Lato Sensu.- 3.2 Non-standard Logics.- 4. Pure and Applied Mathematics.- 4.1 Applications of Mathematics.- 4.2 An Example: Probability.- 5. Foundations and Philosophy.- 5.1 Foundations of Mathematics.- 5.2 Philosophies of Mathematics.- 6. Concluding Remarks.- 2. Physical Science: From Physics to Earth Science.- 1. Preliminaries.- 1.1 Physical Quantity, Convention, Measurement.- 1.2 Theory, Metatheory, Protophysics.- 2. Two Classics.- 2.1 Classical Mechanics.- 2.2 Statistical Mechanics.- 3. Two Relativities.- 3.1 Special Relativity.- 3.2 General Relativity.- 4. Quantons.- 4.1 Classons and Quantons.- 4.2 The State Function and its Referents.- 5. Chance.- 5.1 Probability.- 5.2 Double Slit and Double Logic.- 6. Realism and Classicism.- 6.1 Measurement and Projection.- 6.2 Hidden Variables, Separability, and Realism.- 7. Chemistry.- 7.1 Philosophy and Chemistry.- 7.2 Is Chemistry Reducible to Physics?.- 8. Megaphysics.- 8.1 Earth Sciences.- 8.2 Cosmology.- 9. Concluding Remarks.- Index of Names.- Index of Subjects.

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Ockham's Razor, Probability and Quantum Physics as Logic

Eliahu Levy

This is a philosophy-intense physics article, or, if you wish, a physics-intense philosophy article. Also, being a mathematician, I tend to view the physics, in particular the essence of quantum physics, in emphasizing the mathematical structure that serves as its language. However, I do express views on typically philosophical/epistemological matters. Since these points of view do not seem to me too widely expressed in the literature, while I find them quite compelling, I think this note has some interest.

arXiv:1207.7155•Jul 31, 2012•0 citations
The relations between : reality in itself and phenomenal reality, mathematical world and world of experience, exactness and approximation in physics and mathematics, these are issues, among others, that invest both physics and philosophy. There is a vast area of intersection between physics and philosophy. The article is located precisely at this intersection. The headlines of the main topics addressed are : realism and phenomenalism in epistemology and physics, relation world of experience-mathematical world, eulogy of inexactness and therefore of approximation and probability. Furthermore, two quite original working hypotheses: a draft of a theory of uniqueness, irreducibility and unrepeatability of the event and the criticism of substantialization, which attributes reality in itself to the objects of the cognitive process, with the consequent proposal for a change of perspective, which could free fundamental physics from epistemological assumptions and prejudices. Physics, even theoretical physics, is an experimental science. Physics does not exaust human thought, but its sphere and its effectiveness are exactly this.
of Epistemology III.- 1. The Chasm between S&T and the Humanities.- 2. Bridging the Chasm.- 3. Towards a Useful PS&T.- 4. Concluding Remarks.- 1. Formal Science: From Logic to Mathematics.- 1. Generalities.- 1.1 Two Main Types of Research Field.- 1.2 Some Peculiarities of Mathematics.- 2. Mathematics and Reality.- 2.1 Conceptual Existence.- 2.2 Mathematics and Reality.- 3. Logic.- 3.1 Logic Lato Sensu.- 3.2 Non-standard Logics.- 4. Pure and Applied Mathematics.- 4.1 Applications of Mathematics.- 4.2 An Example: Probability.- 5. Foundations and Philosophy.- 5.1 Foundations of Mathematics.- 5.2 Philosophies of Mathematics.- 6. Concluding Remarks.- 2. Physical Science: From Physics to Earth Science.- 1. Preliminaries.- 1.1 Physical Quantity, Convention, Measurement.- 1.2 Theory, Metatheory, Protophysics.- 2. Two Classics.- 2.1 Classical Mechanics.- 2.2 Statistical Mechanics.- 3. Two Relativities.- 3.1 Special Relativity.- 3.2 General Relativity.- 4. Quantons.- 4.1 Classons and Quantons.- 4.2 The State Function and its Referents.- 5. Chance.- 5.1 Probability.- 5.2 Double Slit and Double Logic.- 6. Realism and Classicism.- 6.1 Measurement and Projection.- 6.2 Hidden Variables, Separability, and Realism.- 7. Chemistry.- 7.1 Philosophy and Chemistry.- 7.2 Is Chemistry Reducible to Physics?.- 8. Megaphysics.- 8.1 Earth Sciences.- 8.2 Cosmology.- 9. Concluding Remarks.- Index of Names.- Index of Subjects.
This is a philosophy-intense physics article, or, if you wish, a physics-intense philosophy article. Also, being a mathematician, I tend to view the physics, in particular the essence of quantum physics, in emphasizing the mathematical structure that serves as its language. However, I do express views on typically philosophical/epistemological matters. Since these points of view do not seem to me too widely expressed in the literature, while I find them quite compelling, I think this note has some interest.