Is mathematics considered a science Possible Duplicate:
  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.

Sincerely,
Maxwell
You wrote: "I thought science was based on observation, experimentation and falsification". Isn´t that philosophy ? And what is good literature without observation; trying new forms of writing, that is experimenting; and adding some non existing facts and invented stories, that is falsifying ? Yet i do not understand why you define maths as in part (one third) a falsification. History, a story told by those who won, is very often false; but why do you think maths is?
You wrote: "I thought science was based on observation, experimentation and falsification". Isn´t that philosophy ? And what is good literature without observation; trying new forms of writing, that is experimenting; and adding some non existing facts and invented stories, that is falsifying ? Yet i do not understand why you define maths as in part (one third) a falsification. History, a story told by those who won, is very often false; but why do you think maths is?