You are wrong on numerous levels. I'm guessing that you forgot that Pi is not a real number, it's an estimation.
Pi is a real number, but it isn't rational. Maybe that's what you were going for here.
You seem to have forgotten what a "Theorem" is as well and hell, you used the word!. Wtf? There are numerous types of "Math" that we simply can not prove true or untrue. We still use them, because to the best of our knowledge things work in a specific way.
You need to look up the meaning of a mathematical theorem: A statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms.
A theorem is a not the same as a scientific theory, even though the words sound similar. You might have intended to talk about axioms, which are a set of given restraints for a particular mathematical system.
Since the above is true, Math "is" science. Your second statement in bold is a fallacy so just plain old wrong. No wonder you posted anonymously.
There are two schools of thought of the question of "Is math a science?"
I follow the second school and I think most other mathematicians do as well.
Give your mom a box of backups and ask her to hold on to it, it is "stuff you made" She'll never get rid of it. and if the house catches fire, it will be the first thing she grabs when she runs out.
That made me smile. Thanks.
In every hierarchy the cream rises until it sours. -- Dr. Laurence J. Peter