First edition. Hardcover with dust jacket. 8vo with 259 pages. The book and DJ are in very good condition, very slight shelf wear. Interior clean and tight. The spine is black and white with red and black text. Size: 8vo.

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Detalles bibliogr�ficos

T�tulo: Converging Realities: Toward a Common Philosophy of Physics and Mathematics
Editor: Princeton University Press, New Jersey
Fecha de publicaci�n: 2004
Idioma: Ingl�s
ISBN 10: 0691115303
ISBN 13: 9780691115306
Encuadernaci�n: Hardcover
Edici�n: 1st Edition.
Estado: Very Good
Estado de la sobrecubierta: Very Good
Tipo de libro: Hardcover

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Sinopsis

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 Omn�s) have now reconciled the foundations of physics with objectivity and common sense. In Converging Realities, Roland Omn�s is among the first scholars to consider the connection of natural laws with mathematics.

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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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