Toward a Common Philosophy of Physics and Mathematics
By (author) Roland Omnes
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Converging Realities by Roland Omnes
Book DescriptionThe mysterious beauty, harmony, and consistency of mathematics once caused philosopher Hilary Putnam to term its existence a "miracle." Now, advances in the understanding of physics suggest that the foundations of mathematics are encompassed by the laws of nature, an idea that sheds new light on both mathematics and physics. The philosophical relationship between mathematics and the natural sciences is the subject of Converging Realities, the latest work by one of the leading thinkers on the subject. Based on a simple but powerful idea, it shows that the axioms needed for the mathematics used in physics can also generate practically every field of contemporary pure mathematics. It also provides a foundation for current investigations in string theory and other areas of physics. This approach to the nature of mathematics is not really new, but it became overshadowed by formalism near the end of nineteenth century. The debate turned eventually into an exclusive dialogue between mathematicians and philosophers, as if physics and nature did not exist. This unsatisfactory situation was enforced by the uncertain standing of physical reality in quantum mechanics. The recent advances in the interpretation of quantum mechanics (as described in Quantum Philosophy, also by Omnes) have now reconciled the foundations of physics with objectivity and common sense. In Converging Realities, Roland Omnes is among the first scholars to consider the connection of natural laws with mathematics.
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Book DetailsISBN: 9780691115306
(229mm x 152mm x 23mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 29-Nov-2004
Country of Publication: United States
Books By Author Roland Omnes
Quantum Philosophy, Paperback (February 2002)
Reviews the history and development of mathematics, logic, and the physical sciences. This book offers an account of the developments in science and the philosophy of knowledge from the pre-Socratic era to the nineteenth century.
Understanding Quantum Mechanics, Hardback (March 1999)
Offers a guide to the conceptual framework of quantum mechanics. This book presents the Copenhagen interpretation, showing its logical consistency and completeness. The problem of measurement is a major area of inquiry, with the author surveying its history from Planck to Heisenberg before describing the consistent-histories interpretation.
Interpretation of Quantum Mechanics, Paperback (July 1994)» View all books by Roland Omnes
Offers a treatment of interpretation (in nonrelativistic physics). This book enables readers to check every step, apply techniques to problems, and make sure that no paradox or obscurity arises in the theory. It discusses various philosophical implications pertinent to the study of quantum mechanics. It is intended for physicists and students.
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Author Biography - Roland Omnes
Roland Omnes is Professor Emeritus of Theoretical Physics at the Universite de Paris-Sud. Having made a career in particle physics and astrophysics, he contributed significantly to the modern renewal in the foundations and interpretation of quantum mechanics.
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