## Converging Realities: |

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 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 "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 "Roland Omnès 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."
Roland Omnes has a knack for writing in at least three of the world's major languages: English, French, and Science. I have at times found a lifetime's worth of insight in a single paragraph of his. The present work is no exception. For though I disagreed with whole swaths of the book, I learned much from it and had to fight every inch of the way to shore up my position against its onslaught. No discussion of reality should ignore this powerful and novel exposition." "To explain the seemingly miraculous effectiveness of mathematics in the natural sciences, Omnès valiantly undertakes to show that mathematical structures are a distillate of the laws of nature. On his way to this goal, he gives a concise, yet highly readable and surprisingly illuminating overview of the main ideas of quantum mechanics."
- The Interpretation of Quantum Mechanics. [Paperback]
- Quantum Philosophy: Understanding and Interpreting Contemporary Science. [Paperback]
- Understanding Quantum Mechanics. [Hardcover]
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