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The 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 Details

ISBN: 9780691115306
ISBN-10: 0691115303
Format: Hardback
(229mm x 152mm x 23mm)
Pages: 288
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 29-Nov-2004
Country of Publication: United States

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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.

Books By Author Roland Omnes

Quantum Philosophy by Roland Omnes

Quantum Philosophy

Paperback, February 2002
$58.50
Understanding Quantum Mechanics by Roland Omnes

Understanding Quantum Mechanics

Hardback, March 1999
$134.10
Interpretation of Quantum Mechanics by Roland Omnes

The Interpretation of Quantum Mechanics

Paperback, July 1994
$152.10