I never said we care about intentions over outcomes. I said we care about method over outcome, because (as I already said) if you do the method right the outcome follows naturally.
I just wanted to make sure that you were confining it to math and not a general way for life.
I would also disagree a little. Methods should be tested against outcomes. I think you are right that in math, we have tested the methods enough to be pretty sure that the formulas work and when done correctly, you will get the correct answer. I just see the same idea added to other issues and the outcomes are horrible. An example that has long ago passed is blood letting. If you got sick, the "Doctor" would drain blood. If you got sicker, he would just drain more blood. They thought the method was sound, but the outcomes were horrible.
