No, mathematics is not a science, and you have completely missed my points.
A science is a process of reasoning to create theories from observed facts about the natural world. The theories that it creates are open to question.
Mathematics is logic built on sheer definition, which is not derived from the natural world, and is completely abstract. Since mathematics are abstraction, they are not derived from observation of the natural world, and so its conclusions are not open to refutation by observed facts. Therefore mathematics is not a natural science.
Exactly. Natural science is based on the results of inquisitive experiments, not demonstrative. The reason we know that 2+2=4 is not due to the experiments you describe. It is due to sheer logic, which is not the same thing as natural reason about the observed universe.
How is astronomy not a process of applying reason to observed facts about the natural world?
That Chem A mixed with Chem B produces Chem C is an observed fact, and is open to question only insofar as the accuracy of the observations is. A theory is what explains why this happens, which is always open to question and refutation by the observation of other facts.
Please do me the courtesy of reading my posts before you respond to what you assumed they said. Thank you.