@richrf,
richrf;73534 wrote:fact: something that is certain to be true.
truth: something that is an obvious fact.
belief: something that one person considers a fact that is contrary to another person's truth.
Used in a sentence:
It is a fact that truth is a belief.
A definition I found in a book that I took to heart was: "A fact is just something that has passed a standard of proof".
With your definitions, it seems like "truth" and "fact" is synonymous, but I disagree. Truth necessarily entails a level of infallibility, while fact is just the most reliable information available. In other words, a fact is assumed truth. A fact can be falsified, truth cannot.
When you say "contrary to another person's truth", you're saying that two contradictory truths can exist, but I see that as logically impossible.