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Were famous or popular physicists like Galileo, Newton, Einstein, Feynman predominantly mathematicians or scientists (computing, experimenting, engineering, etc.)?

I am curious if people like the ones mentioned above spent much time on things that are more "purely" mathematical like proofs, or did they use math more as a means to an end and mostly compute number values based on experimentally-gathered inputs?

For example, there are stories about Feynman being good at computing and integrating or Newton "inventing" calculus, but I haven't heard anything about them proving anything in the way the Greeks did, or more recently Fermat, Euler, Gauss. Also, the university I attended only requires up through calculus and linear algebra for a BS in physics.

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closed as too broad by Carl Witthoft, Geremia, Conifold, Alexandre Eremenko, José Carlos Santos Apr 17 at 6:49

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ It varied. Certainly Newton and Maxwell were great mathematicians, not only physicists. On the other hand, Galileo, Hooke and Faraday were not. $\endgroup$ – Alexandre Eremenko Apr 16 at 10:18
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    $\begingroup$ This question is a bit too wide. Every researcher had to know enough math to be able to analyse their data in a useful and valid way. Many mathematicians were useless in the "real world," and many engineers the reverse. $\endgroup$ – Carl Witthoft Apr 16 at 12:17
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    $\begingroup$ "Newton 'inventing' calculus" was not at all in a mathematically rigorous form like Cauchy et al. would put it in later. $\endgroup$ – Geremia Apr 16 at 14:29
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    $\begingroup$ This is quite a broad question, and it also elicits opinion-based answers. $\endgroup$ – Geremia Apr 16 at 14:30
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    $\begingroup$ @tau Then narrow the scope of your question down to calculus, if that's what you want to ask. However, there's already a related question here: "Did Newton and Leibniz lack rigour?." $\endgroup$ – Geremia Apr 16 at 17:21