The principle, stated simply in my bastardized version, is to believe no thing with probability 1.
Meeehhhh. Believe nothing empirical with probability 1.0. Believe formal and analytical proofs with probability 1.0.
I get your point that we can have greater belief in logical and mathematical knowledge. But (as pointed out by JoshuaZ) I have seen too many errors in proofs given at scientific meetings (and in submitted publications) to blindly believe just about anything.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.