Truth of statements has nothing to do with clarity of their meaning. Explaining is about meaning, not truth. Asserting truth of a statement is persuasion, but giving evidence for it explains something other than the statement, so it’s not about explaining the statement.
Many constructions (such as hypotheticals and mathematical structures) are not intended to be judged by some canonical notion of truth. The constructions themselves can be communicated when we are not yet discussing truth of statements about them. And then it’s truth of the statements, not of the constructions.
Truth of statements has nothing to do with clarity of their meaning. Explaining is about meaning, not truth. Asserting truth of a statement is persuasion, but giving evidence for it explains something other than the statement, so it’s not about explaining the statement.
Clarity of meaning is a prerequisite to truth because ambiguity is neither true nor false.
Many constructions (such as hypotheticals and mathematical structures) are not intended to be judged by some canonical notion of truth. The constructions themselves can be communicated when we are not yet discussing truth of statements about them. And then it’s truth of the statements, not of the constructions.
Yes.