Mathematics is the body of knowledge centered on such concepts as quantity,structure,space and change and also the academic discipline that studies them.Ahhhh... explanation is always self-referencing. "everything i say is a lie" if i am telling the truth, then not everything i say is a lie, if it's a lie then i am speaking the truth. explanation is endless. math is the symbolic depiction of the truth, which should never be confused with the truth that it attempts to depict symbolically. the thing that is described by a word is, both, not the word itself, and is also much greater than the descriptive symbol, ie. name or number. you can't prove this sentence. that is proof enough that the truth is not explainable by names or numbers. i suggest...
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What Wiki says - http://en.wikipedia.org/wiki/Mathematics