You can believe that it leads to a 100%-always-true-in-every-possible-universe conclusion, but the strength of your belief should not be 100% itself. The difference is crucial. Good posts on this subject are How To Convince Me That 2 + 2 = 3 and Infinite Certainty. (The followup, 0 And 1 Are Not Probabilities, is a worthwhile explanation of the mathematical reasons that this is the case.)
You can believe that it leads to a 100%-always-true-in-every-possible-universe conclusion, but the strength of your belief should not be 100% itself. The difference is crucial. Good posts on this subject are How To Convince Me That 2 + 2 = 3 and Infinite Certainty. (The followup, 0 And 1 Are Not Probabilities, is a worthwhile explanation of the mathematical reasons that this is the case.)
Thank you for the links. It makes sense now.