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What the role of mathematics in physical sciences is, is a relevant philosophical and historical question whose answer is necessary to fully understand the real status of physics, in particular of contemporary physics.
Exactly the wish to have good and plausible answers has spurred physicists, mathematicians, historians of science, and philosophers of science from many countries to join together and friendly but rigorously discuss. From that meeting, which was held in the wonderful Isle of Losinj (Croatia) in 2003, this book had its origin.
Actually, it does not simply contain the text of the lectures given. It is something different and something more. Some chapters are new and improved versions of what was presented. Some others have been added to enrich the variety of possible suggestions
Preface
The Role of Mathematics in Physical Sciences – Interdisciplinary and Philosophical Aspects
PART 1: MATHEMATICS AND PHYSICS: REFLECTING ON THE HISTORICAL ROLE OF MATHEMATICS
Oliver Heaviside’s “Dinner”
Quantum Physics and Mathematical Debates Concerning the Problem of the Ontological Priority between Continuous Quantity and Discrete Quantity
John von Neumann on Mathematical and Axiomatic Physics
Classical Indian Mathematical Thought in the Context of the Theories of Matter and Mind
PART 2: MATHEMATICS AND PHYSICS: REFLECTING ON THEIR
INTERACTION
The Role of Mathematics in Physical Sciences and Dirac’s Methodological Revolution
Algorithmic Representation of Astrophysical Structures
The Flexibility of Mathematics
The Laws of Nature and the Effectiveness of Mathematics
Some Mathematical Aspects of Modern Science and Their Relevant Physical Implications
Theoretical Explanations in Mathematical Physics
Mathematics, Physics and Music
Theoretical Mathematics
PART 3: FINAL REMARKS
Mathematics and Physics
Values and Meaning in the Quantum Universe