# Is mathematics considered a science [duplicate]

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what is the definition of Mathematics ?

I would like to know if mathematics is considered a science? I've searched the internet and asked many people for insight to no avail. I thought science was based on observation, experimentation and falsification. I don't understand how mathematics can satisfy all the above. Especially, when there are some branches of mathematics that need not actually correspond to the physical world. Maybe I have a naive definition or unsophisticated understanding of both mathematics and science.

Sincerely, Maxwell

• Have a look at this question. Jan 28, 2013 at 14:09
• Many philosophers believe that mathematics is not experimentally falsifiable, and thus not a science according to the definition of Karl Popper. However, in the 1930s important work in mathematical logic showed that mathematics cannot be reduced to logic, and Karl Popper concluded that "most mathematical theories are, like those of physics and biology, hypothetico-deductive: pure mathematics therefore turns out to be much closer to the natural sciences whose hypotheses are conjectures, than it seemed even recently." from here
– Ilya
Jan 28, 2013 at 14:10