Two views of mathematics and science

I think it’s not too great an exaggeration to say that for centuries mathematicians and (physical) scientists conceived the world like this,


whereas now many mathematicians have moved to a view more like this,


What an own goal! Some separation is to be expected as disciplines have grown bigger and more specialized. But it has been a vicious circle. As mathematics and science have diverged, mathematicians have come to know less of science, further encouraging them to focus on (1) rigor and (2) generality at the expense of (3) solving problems. Yet solving problems is what inspired Archimedes, Newton, Euler, Laplace, Gauss,….

[2 April 2024]

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