Mathematics “has no generally accepted definition,” according to Wikipedia today. Two references are given for the assertion. I suggest that what *really* has no generally accepted definition is the *subject* of mathematics: the object of study, what mathematics is *about.* Mathematics itself can be defined by its method. As Wikipedia currently says also,

it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions.

I would put it more simply. Mathematics is the science whose findings are proved by deduction.