Mathematical is a science, it is fundamental to all other 'sciences'
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Depending on what type of science, yes mathematics can be science. Like if you're doing physics that can be mathematics.
Mathematics and science.
Mathematics is used extensively in the physical sciences, by mathematics itself is not a physical science.
To enable them think logically, and be meticulous.
Carl Friedrich Gauss, a famous mathematician, said that "Mathematics is the queen of the sciences and number theory is the queen of mathematics."