I shall begin, as promised, by providing a current formal definition of Mathematics. Thus, according to the Oxford English Dictionary1 the definition of Mathematics is:

1. Originally: (a collective term for) geometry, arithmetic, and certain physical sciences involving geometrical reasoning, such as astronomy and optics; spec. the disciplines of the quadrivium collectively. In later use: the science of space, number, quantity, and arrangement, whose methods involve logical reasoning and usually the use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis; mathematical operations or calculations. Colloq. abbreviated maths, (N. Amer.) math.

As one can see from this the definition of Mathematics has changed significantly through time and will co

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