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Mathematical physics is in the first place physics and it could not exist without experimental investigations.
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Inaugural lecture for his professorship of mathematical physics at the University of Utrecht (1913), as quoted by Davies, Mansel. Peter Joseph Wilhelm Debye: 1884-1966. Biographical Memoirs of Fellows of The Royal Society, Vol. 16 (1970).
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John Quincy Adams (may our country always be successful, but whether successful or otherwise, always right.)
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G.K. Chesterton (a thing that no patriot would think of saying)
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Carl Schurz (if right, to be kept right; and if wrong, to be set right)
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Mark Twain (How absolutely absurd to teach this idea to the youth of the country)

 

Peter Debye

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There is at the moment in India no big school of research in the fundamental problems of physics, both theoretical and experimental. There are, however, scattered all over India competent workers who are not doing as good work as they would do if brought together in one place under proper direction. It is absolutely in the interest of India to have a vigorous school of research in fundamental physics, for such a school forms the spearhead of research not only in less advanced branches of physics but also in problems of immediate practical application in industry. If much of the applied research done in India today is disappointing or of very inferior quality it is entirely due to the absence of sufficient number of outstanding pure research workers who would set the standard of good research and act on the directing boards in an advisory capacity ... Moreover, when nuclear energy has been successfully applied for power production in say a couple of decades from now, India will not have to look abroad for its experts but will find them ready at hand. I do not think that anyone acquainted with scientific development in other countries would deny the need in India for such a school as I propose.
The subjects on which research and advanced teaching would be done would be theoretical physics, especially on fundamental problems and with special reference to cosmic rays and nuclear physics, and experimental research on cosmic rays. It is neither possible nor desirable to separate nuclear physics from cosmic rays since the two are closely connected theoretically.

 

Homi J. Bhabha

 

On the side of physics, there were a few key figures in Oxford who realized, in all probability unlike the majority of their colleagues in the physics department, that physics without interpretation is only part of the story, and that theories like quantum mechanics need careful foundational reflection.

 

Harvey (philosopher) Brown

 

What appear to be the most valuable aspects of the theoretical physics we have are the mathematical descriptions which enable us to predict events. These equations are, we would argue, the only realities we can be certain of in physics; any other ways we have of thinking about the situation are visual aids or mnemonics which make it easier for beings with our sort of macroscopic experience to use and remember the equations.

 

Celia Green

 

The first question we should face is: What is the aim of a physical theory? To this question diverse answers have been made, but all of them may be reduced to two main principles:
"A physical theory," certain logicians have replied, "has for its object the explanation of a group of laws experimentally established."
"A physical theory," other thinkers have said, "is an abstract system whose aim is to summarize and classify logically a group of experimental laws without claiming to explain these laws...
Now these two questions — Does there exist a material reality distinct from sensible appearances? and What is the nature of reality? — do not have their source in experimental method, which is acquainted only with sensible appearances and can discover nothing beyond them. The resolution of these questions transcends the methods used by physics; it is the object of metaphysics.
Therefore, if the aim of physical theories is to explain experimental laws, theoretical physics is not an autonomous science; it is subordinate to metaphysics...
Now, to make physical theories depend on metaphysics is surely not the way to let them enjoy the privilege of universal consent.

 

Pierre Duhem

 

If I have had any success in mathematical physics, it is, I think, because I have been able to dodge mathematical difficulties.

 

Josiah Willard Gibbs