Thanks for the answer with the examples. I am not much of a math person so am not following the math example but I think I (at least) directionally get what you

Thanks for the answer with the examples. I am not much of a math person so am not following the math example but I think I (at least) directionally get what you are saying. Follow up question: Based on what you are saying does it mean that forming different hypothesis on ways to solve the problem can be considered an attack on the problem OR it has to be more than a hypothesis whereby you might have a general approach to solving that class of problem but the detailed steps for solving a particular instance of that problem needs to be figured out and tested?