Caledonian: The statement "x is true" could be properly reworded as "X corresponds with the world." The statement "I believe X" can be properly reworded as "X corresponds with my mental state." Both are descriptive statements, but one is asserting a correspondence between a statement and the world outside your brain, while the other is describing a correspondence between the statement and what is in your brain.
There will be a great degree of overlap between these two correspondence relations. Most of our beliefs, ...
Given one, we can infer the other either necessarily or by making a minimal assumption of consistency.
No. A belief can be wrong, right? I can believe in the existence of a unicorn even if the world does not actually contain unicorns. Belief does not, therefore, necessarily imply existence. Likewise, something can be true, but not believed by me (e.g., my wife is having an affair, but I do not believe that to be the case). Thus, belief does not necessarily follow from truth.
If all you are saying is that truth conditionally implies belief, and vice vers... (read more)