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.
Thank you in advance.