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"History is not the past—it is the method we have evolved of organizing our ignorance of the past."
"The world is a stage, but the play is badly cast."
Live as if you were to die tomorrow. Learn as if you were to live forever.
In the context of computational learning, the concept of 'probably approximately correct' (PAC) learning provides a framework for understanding the efficiency and feasibility of learning algorithms.
I think that the role of the mathematician is to discover these patterns and to explain them.