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 Omnès) have now reconciled the foundations of
physics with objectivity and common sense. In Converging Realities,
Roland Omnès is among the first scholars to consider the connection
of natural laws with mathematics.
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Toward a Common Philosophy of Physics and Mathematics
Produktdetaljer
ISBN
9780691296630
Publisert
2026
Utgiver
Princeton University Press
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter