Forgive me if this seems a silly question (though, judging from recent discussion, perhaps there is no such thing), but what is mathematics?
I think that one's definition of mathematics greatly affects one's philosophy of mathematics education.
I would like to undertake the (perhaps impossible) task of combining all our definitions of mathematics into one on which we can mostly agree.
I might even ask that you simply E-Mail these directly to me, at first, so that your own definition is not influenced by the definitions of others. And, to be fair, I will include my own before I look at anyone else's.
P.S. Dictionary defintions don't count, unless it's a dictionary you wrote yourself.