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Bridging the Gap: Philosophy, Mathematics, and Physics

Author: G. Corsi

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 330

ISBN-13: 9401124965

Foundational questions in logic, mathematics, computer science and physics are constant sources of epistemological debate in contemporary philosophy. To what extent is the transfinite part of mathematics completely trustworthy? Why is there a general `malaise' concerning the logical approach to the foundations of mathematics? What is the role of symmetry in physics? Is it possible to build a coherent worldview compatible with a macroobjectivistic position and based on the quantum picture of the world? What account can be given of opinion change in the light of new evidence? These are some of the questions discussed in this volume, which collects 14 lectures on the foundation of science given at the School of Philosophy of Science, Trieste, October 1989. The volume will be of particular interest to any student or scholar engaged in interdisciplinary research into the foundations of science in the context of contemporary debates.

Bridging the Gap: Philosophy, Mathematics, and Physics

Author: Giovanna Corsi

Publisher: Springer Science & Business Media

Published: 1993

Total Pages: 356

ISBN-13: 9780792317616

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Foundational questions in logic, mathematics, computer science and physics are constant sources of epistemological debate in contemporary philosophy. To what extent is the transfinite part of mathematics completely trustworthy? Why is there a general malaise' concerning the logical approach to the foundations of mathematics? What is the role of symmetry in physics? Is it possible to build a coherent worldview compatible with a macroobjectivistic position and based on the quantum picture of the world? What account can be given of opinion change in the light of new evidence? These are some of the questions discussed in this volume, which collects 14 lectures on the foundation of science given at the School of Philosophy of Science, Trieste, October 1989. The volume will be of particular interest to any student or scholar engaged in interdisciplinary research into the foundations of science in the context of contemporary debates.

Bridging the Gap between Life and Physics

Author: Ron Cottam

Publisher: Springer

Published: 2018-03-19

Total Pages: 338

ISBN-13: 3319745336

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This is the only book which deals with the correlatory comparison between hierarchical living systems and inorganic physical ones. The culmination of the book is the proposition of research to discover and understand the natural underlying level of organization which produces the descriptive commonality of life and physics. Traditional science eliminates life from its purview by its rejection of interrelationships as a primary content of systems. The conventional procedure of science is that of reductionism, whereby complex systems are dismantled to characterize lower level components, but virtually no attention is given to how to rebuild those systems—the underlying assumption is that analysis and synthesis are symmetrical. This book fulfills two main coupled functions. Firstly, it details hierarchy as the major formulation of natural complex systems and investigates the fundamental character of natural hierarchy as a widely transferable ‘container’ of structure and/or function – and this in the case of the new development of a representational or model hierarchy. Secondly, it couples this hierarchical description to that of the electronic properties of semiconductors, as a well-modeled canonical example of physical properties. The central thesis is that these two descriptions are comparable, if care is taken to treat logical and epistemological aspects with prudence: a large part of the book is composed of just this aspect of care for grounding consistency. As such great attention is given to correct assessment of argumentative features which are otherwise presumed ‘known’ but which are usually left uncertain. Development of the ideas is always based on a relationship between entity or phenomenon and their associated ecosystems, and this applies equally well to the consequent derivations of consciousness and information.

The Principles of Mathematical Physics

Author: Henri Poincaré

Publisher: DigiCat

Published: 2022-07-21

Total Pages: 35

ISBN-13:

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You will marvel at these principles of mathematical physics written by Henri Poincare, one of the most famous French mathematicians. Contents: History of Mathematical Physics, The Present Crisis of Mathematical Physics, The Future of Mathematical Physics.

Reasoning in Quantum Theory

Author: Maria Luisa Dalla Chiara

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 301

ISBN-13: 9401705267

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"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking. For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.

Probing The Meaning Of Quantum Mechanics: Superpositions, Dynamics, Semantics And Identity

Author: Diederik Aerts

Publisher: World Scientific

Published: 2016-07-21

Total Pages: 371

ISBN-13: 981314629X

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This book provides an interdisciplinary approach to one of the most fascinating and important open questions in science: What is quantum mechanics really talking about? In the last decades quantum mechanics has given rise to a new quantum technological era, a revolution taking place today especially within the field of quantum information processing; which goes from quantum teleportation and cryptography to quantum computation. Quantum theory is probably our best confirmed physical theory. However, in spite of its great empirical effectiveness it stands today still without a universally accepted physical representation that allows us to understand its relation to the world and reality.The novelty of the book comes from the multiple perspectives put forward by top researchers in quantum mechanics, from Europe as well as North and South America, discussing the meaning and structure of the theory of quanta. The book comprises in a balanced manner physical, philosophical, logical and mathematical approaches to quantum mechanics and quantum information. Going from quantum superpositions and entanglement to dynamics and the problem of identity; from quantum logic, computation and quasi-set theory to the category approach and teleportation; from realism and empiricism to operationalism and instrumentalism; the book considers from different angles some of the most intriguing questions in the field.From Buenos Aires to Brussels and Cagliari, from Florence to Florianópolis, the interaction between different groups is reflected in the many different articles. This book is interesting not only to the specialists but also to the general public attempting to get a grasp on some of the most fundamental questions of present quantum physics.

Ludwig Boltzmann His Later Life and Philosophy, 1900–1906

Author: Ludwig Boltzmann

Publisher: Springer Science & Business Media

Published: 1995-01-31

Total Pages: 302

ISBN-13: 9780792332312

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This book gives the first detailed record of Ludwig Boltzmann's life and philosophical thoughts during his final years, a period of major change in physics, needing a new methodology of theoretical, idealized science. The growing primacy of physical theory over observation and experimentation meant that Boltzmann needed a methodology which went beyond Ernst Mach's phenomenalism and theory of economy. The documentary approach of this book means that historians, philosophers, and physicists can use it as a source and foundation for better understanding the development of quantum and relativity theory, the new advances in methodology, and as an aid in improving or creating their own contributions to methodology and philosophy of science. Seeds of future linguistic philosophy are also present.

Rethinking Scientific Change and Theory Comparison:

Author: Léna Soler

Publisher: Springer Science & Business Media

Published: 2008-05-29

Total Pages: 379

ISBN-13: 1402062796

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This volume presents a collection of essays devoted to the analysis of scientific change and stability. It explores the balance and tension that exist between commensurability and continuity on the one hand and incommensurability and discontinuity on the other. The book constitutes fully revised versions of papers that were originally presented at an international colloquium held at the University of Nancy, France, in June 2004.

Schrödinger’s Philosophy of Quantum Mechanics

Author: Michael Bitbol

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 301

ISBN-13: 9400917724

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This book is the final outcome of two projects. My first project was to publish a set of texts written by Schrodinger at the beginning of the 1950's for his seminars and lectures at the Dublin Institute for Advanced Studies. These almost completely forgotten texts contained important insights into the interpretation of quantum mechanics, and they provided several ideas which were missing or elusively expressed in SchrOdinger's published papers and books of the same period. However, they were likely to be misinterpreted out of their context. The problem was that current scholarship could not help very much the reader of these writings to figure out their significance. The few available studies about SchrOdinger's interpretation of quantum mechanics are generally excellent, but almost entirely restricted to the initial period 1925-1927. Very little work has been done on Schrodinger's late views on the theory he contributed to create and develop. The generally accepted view is that he never really recovered from his interpretative failure of 1926-1927, and that his late reflections (during the 1950's) are little more than an expression of his rising nostalgia for the lost ideal of picturing the world, not to say for some favourite traditional picture. But the content and style of Schrodinger's texts of the 1950's do not agree at all with this melancholic appraisal; they rather set the stage for a thorough renewal of accepted representations. In order to elucidate this paradox, I adopted several strategies.

Bohmian Mechanics and Quantum Theory: An Appraisal

Author: J.T. Cushing

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 406

ISBN-13: 9401587159

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We are often told that quantum phenomena demand radical revisions of our scientific world view and that no physical theory describing well defined objects, such as particles described by their positions, evolving in a well defined way, let alone deterministically, can account for such phenomena. The great majority of physicists continue to subscribe to this view, despite the fact that just such a deterministic theory, accounting for all of the phe nomena of nonrelativistic quantum mechanics, was proposed by David Bohm more than four decades ago and has arguably been around almost since the inception of quantum mechanics itself. Our purpose in asking colleagues to write the essays for this volume has not been to produce a Festschrift in honor of David Bohm (worthy an undertaking as that would have been) or to gather together a collection of papers simply stating uncritically Bohm's views on quantum mechanics. The central theme around which the essays in this volume are arranged is David Bohm's version of quantum mechanics. It has by now become fairly standard practice to refer to his theory as Bohmian mechanics and to the larger conceptual framework within which this is located as the causal quantum theory program. While it is true that one can have reservations about the appropriateness of these specific labels, both do elicit distinc tive images characteristic of the key concepts of these approaches and such terminology does serve effectively to contrast this class of theories with more standard formulations of quantum theory.