I am not exactly sure why you are insisting on this point, but since you are, I am suspicious of it. You are saying there is one right answer to any problem, and that is the same as saying there is one logical answer to any problem, which is the same as saying there is one best answer to any problem. You are this given a single point of view.jupiviv: However, there is only one logical answer for a single point of view even in the empirical world, as in your calculus problem.
cousinbasil: What if there is a best answer instead of a right one?
jupiviv: I don't think that is possible.
But I don't think this is always true. If you have a referee before a football game, one problem he has is to decide which team kicks off first to start the game. I have just stated a problem and given a single point of view. This problem is not "solved" until he flips a coin. That is, there is no solution prior to the coin toss. After he flips, there is a solution. But either one is a complete and legitimate solution. Therefore, this problem has more than one solution. They are not the same, and there is no right or best answer from at least one possible point of view, and yet the problem has been solved. From the point of view of the losing team, the teaqm captain agrees that this is the right answer since he has agreed with the protocol beforehand, yet he does not think it is the best answer; from all three points of view, however, the problem has been solved completely. Doesn't this simple example contradict your assertion?