Good point. I find that carefully phrasing the problem is half the solution. For example, the entire field of cryptography would not have moved beyond the one-t

Good point. I find that carefully phrasing the problem is half the solution. For example, the entire field of cryptography would not have moved beyond the one-time-pad if it wasn't for a rephrasing from 'impossible' to 'computationally infeasible'. Similarly with probabilistic algorithms.