Even though mathematics and physics have been related for
centuries and this relation appears to be unproblematic, there are
many questions still open: Is mathematics really necessary for
physics, or could physics exist without mathematics? Should we
think physically and then add the mathematics apt to formalise our
physical intuition, or should we think mathematically and then
interpret physically the obtained results? Do we get mathematical
objects by abstraction from real objects, or vice versa? Why is
mathematics effective into physics?
These are all relevant questions, whose answers are necessary to
fully understand the status of physics, particularly of
contemporary physics.
The aim of this book is to offer plausible answers to such
questions through both historical analyses of relevant cases, and
philosophical analyses of the relations between mathematics and
physics.
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