An engineer, a physicist and a mathematician are each given the same problem. 1. the engineer comes in, writes a few lines of equations, does some calculations

An engineer, a physicist and a mathematician are each given the same problem. 1. the engineer comes in, writes a few lines of equations, does some calculations, and writes down the answer. 2. the physicist comes in, derives some formulas, writes some equations, writes some more equations, does some calculations and finally writes down the answer. 3. the mathematician comes in, lists some axioms, proves some theorems from the axioms, writes equations across the entire whiteboard, gets another whiteboard, fills it up with equations also, writes some final calculations and finally says, "it can be solved."