Mathematics: the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically.
Science: a branch of knowledge dealing with a body of facts or truths systematically arranged and showing the operation of general laws.
Art: the quality, production, expression, or realm, according to aesthetic principles, of what is beautiful, appealing, or of more than ordinary significance.
Besides from looking up the definitions of the three words of interest, I researched others opinions and thoughts on the two questions, and also conducted a short poll (from my friends, not random!).
Looking straight from the definitions I would say math is science and not art. This is because of the word systematically stands out in both definitions for me. Both science and math have a very systematic approach you take to solve a problem. For example, the scientific method is a systematic way carryout an experiment and the order of operations is a systematic way to solve an equation.
Art and math do not seem to line up, according to the definitions. In the definition of art, it seems to be expressing how art looks once it is done. Although I do not agree with this definition 100%, I had to be on fair playing field and grab them from the same resource. Therefore, comparing definitions I do not see a link between math and art.
The results are in.....

Yes

No

Is Math Science?

3

2

Is Math Art?

1

4

I asked 5 of my friends both questions. Only one person said that math is art, which I found interesting. And it was almost a 50/50 split for if math is science.
In my research online, I found that many other people who answer these questions are drawn down the middle as well. And almost all responses said it determines on how you think about math and how you define science and art. It's a tough question to tackle and come to a hardset conclusion.
Here is my opinion:
Math is science because we follow laws, theorems, and other properties of mathematical concepts.
Math is art because as a mathematician you have to use your imagination, creativity, and recognizance to see how to solve a problem. To help support this claim, I will provide you with the definition of art from the MerriamWebster: "Something that is created with imagination and skill and that is beautiful or that expressed important ideas or feelings."
An example is proving a theorem. You have to first have the will, imagination, and creative thinking skills to work your way through the problem and then you then must also follow all the rules of math and other proven properties to finish the proof properly. And finally, once the proof is written formally with all justifiable reasoning, on cleancrisp paper, you can say that you have now created a beautiful piece of work that took skills and systematic methods.
Now lets take a poll again....Is Math Science and/or Art?
I like this. Of course, your poll sample could be bigger... Were these (once or future) mathematicians? Nice as is, but would be more complete if you represented the arguements against your position, too.
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Interesting question. Maybe math is just math, something different from either being a science or an art.
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