The modern meaning of the world science is "natural science". Even the article you cite explains that the claim by Gauss that mathematics is a science implies t

The modern meaning of the world science is "natural science". Even the article you cite explains that the claim by Gauss that mathematics is a science implies the old meaning of the word. Still, if this bothers you, replace "science" by "natural science" in my claim and the relevant aspect of the argument remains unchanged.