@kennethamy,
kennethamy wrote:But the sentence, "every true sentence must be true" does not mean that every truth corresponds with some fact or state of affairs, since it just means that it is impossible for any truth to be false.
Indeed, that sentence does not mean that every truth corresponds to some fact or state of affairs, but not because it means that it is impossible for any truth to be false, and rather because it means that every truth
must correspond to some fact or state of affairs. Your interpretation of "every truth must be true" places the truth on the state of affairs itself, forgetting that truth refers to a statement, or idea, or memory, that is, to something ideal, or subjective, or immaterial. There is no truth in material objects: truth is in us, we are the ones who consider material objects either true or false. Every truth must be true means that whatever we believe can only be true if it corresponds to something real, or objective, or material. The whole problem is in the way you read the expression "every truth." You read it as meaning "whatever is either true or false," instead of "whatever is already true."