TheOtherDave comments on Math is Subjunctively Objective - Less Wrong
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FWIW: I agree with you that:
I would also say that:
Would you agree with both of those statements?
Assuming you do, then it seems to follow that by "what I truly believe" you mean to exclude statements in S2. (Since otherwise, I could have a statement in S2 that I truly believe, and is therefore definitionally true, which is at the same time not safe to call true, which seems paradoxical.)
Assuming you do, then sure: if I accept that "what I truly believe" refers to S1 and not S2, then I agree that truth is what I truly believe, although that doesn't seem like a terribly useful thing to know.
Yes, I think you managed to put my thoughts into words very well here. Probably a lot more clearly than I.