The central activity of mathematics is applying strict formal rules of logic to produce theorems from arbitrary human-invented axioms. Theorems are proven, and once proven are eternally valid.
The central activity of science (as I understand it) is applying the scientific method to produce theories from data gathered in experiments. Theories are tentative, and are eventually replaced by "better" theories.
I say this mostly as an excuse to point out a particular idiocy of the idiot Karl Priest. From his monumentally idiotic lesson plan:
"1. Students will comprehend that the science of mathematics proves that life could not have developed by natural (evolutionary) means.
...
4. Discuss the scientific method (use the school’s science book definition). Emphasize that evolutionists have failed to follow the scientific method. Middle school teachers will see a cross-content teaching opportunity here."
So this Priest, this harebrained hairball, contends that biologists have failed to follow the scientific method. But somehow his remedial grasp of the subject he claims to teach has prevented him from realizing that the scientific method shows up nowhere in mathematics. How can any semi-educated person swallow this bull excrement?
And some biologists are absolutely amazing mathematicians: Ronald Fisher.
Ronald Fisher was not a biologist. He was a statistician and a eugenist. He held the Galton chair of eugenics for 10 years. His main work The Genetical Theory of Natural Selection is an application of statistics to develop a theory about differential reproductive rates to solve a problem (an idiotic problem) in eugenics.