Again, I don't see how it's different in a practical sense.
When one asserts something, it implies one believes it.
When one believes something, it implies an assertion which is being believed.
Where "belief" means "to accept as true".
In both cases one expresses something that one accepts as true / factual.
When one asserts a belief then they are making a CLAIM.
When one believes something
without asserting it then they are not making a claim.
In both cases one expresses something that one accepts as true / factual, but the difference is in
the way a person expresses the belief.
On a forum, you cannot assume someone is making a claim. If you ask them and they say they are
not making a claim it is rude to keep telling them they are making a claim.
Only the person who wrote the post knows if they are making a claim or not.
Except that they are, by expressing that belief, which means to accept as true.
You are just making a semantic argument here.
To accept what you say, would mean that it is possible to express a belief while asserting the belief to be false.
That's just self-contradicting.
Why would you believe something without thinking it is true?
Of course they believe it is true but that is not the same as claiming it is true.
I might believe I am going to win the lottery but I would never claim that since I cannot prove it is true.
Likewise, I believe that God exists but I would never claim that God exists because I cannot prove that God exists.
By expressing a belief one has accepted as true they are not 'necessarily' making a claim.
They might be making a claim or they might simply be
sharing their belief.