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The mathematics … required … had already been worked out by pure mathematicians for their own amusement.

It has been a fortunate fact in the modern history of physical science that the scientist constructing a new theoretical system has nearly always found that the mathematics … required … had already been worked out by pure mathematicians for their own amusement. … The moral for statesmen would seem to be that, for proper scientific “planning”, pure mathematics should be endowed fifty years ahead of scientists.

— Richard Bevan Braithwaite (1900-1990), English philosopher, in Scientific Explanation (1953)

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