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Converging Realities Roland Omnes

Converging Realities By Roland Omnes

Converging Realities by Roland Omnes


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Summary

Focuses on the philosophical relationship between mathematics and the natural sciences. This title shows that the axioms needed for the mathematics used in physics can also generate practically various fields of contemporary pure mathematics. It also provides a foundation for investigations in string theory and other areas of physics.

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Converging Realities Summary

Converging Realities: Toward a Common Philosophy of Physics and Mathematics by Roland Omnes

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.

Converging Realities Reviews

It is refreshing to find a physicist joining today's ongoing public conversation about the nature of mathematics... As a physicist who loves mathematics, in Converging Realities [Roland Omnes] comes forward with a new idea, which he proposes to call 'physism.' ... I hope Omnes's daring proposal is taken seriously by those interested in these matters and receives the analysis and critique it deserves.--Reuben Hersh, American Scientit Roland Omnes provides a systematic development of mathematics and classical reality and then the quantum world, with specific notes on the associated mathematical structures and historical developments. He argues persuasively, with many examples, how the realm of the possible (mathematics) and the realm of the actual (physics) are converging yet distinct realities.--Choice

About 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.

Table of Contents

PREFACE vii PART ONE - PRELIMINARIES CHAPTER ONE: Beginnings 3 CHAPTER TWO: Brain and Reality 12 CHAPTER THREE: Mathematics and Classical Reality 22 PART TWO - REALITY AND THE QUANTUM WORLD CHAPTER FOUR: First Encounter with the Quantum World 51 CHAPTER FIVE: Quantity and Reality 65 CHAPTER SIX: More about Physical Quantities 76 CHAPTER SEVEN: On the Extent of the Lingua Mathematica 86 CHAPTER EIGHT: Virtual Processes 95 CHAPTER NINE: Back to Classical Reality 105 CHAPTER TEN: Decoherence 114 CHAPTER ELEVEN: Did You Say Paradox? 126 PART THREE - THE CHARACTER OF PHYSICAL LAWS CHAPTER TWLEVE: The Character of Fundamental Laws 141 CHAPTER THIRTEEN: The Character of Classical Reality 164 PART FOUR - PHYSISM CHAPTER FOURTEEN: The Philosophy of Mathematics 179 CHAPTER FIFTEEN: Physism: The Thesis 199 CHAPTER SIXTEEN: Physism and the Philosophy of Mathematics 216 CHAPTER SEVENTEEN: Physism: A Discussion 231 CHAPTER EIGHTEEN: Ontology 243 BIBLIOGRAPHY 253 INDEX 261

Additional information

CIN0691115303G
9780691115306
0691115303
Converging Realities: Toward a Common Philosophy of Physics and Mathematics by Roland Omnes
Used - Good
Hardback
Princeton University Press
20041219
288
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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