The definition is a mouthful, but it is congruent with the observation that there are many different systems that can produce what we call truth, and that we might not all agree on which system is best to apply, or even assume that the person we are talking to uses the same truth system we do. My definition is also different from colloquial use of “truth” in that it separates the statement as a claim from the property of truth which may or may not be assigned to such claim. Generally, we often think of facts which are statements that are true, without considering that the property of truth only applies to the statement if the statement is produced as true under the rules of some truth generating system. As soon as the basis for the fact is removed from rules of a truth generating system, it becomes out of context and the property of truth no longer applies to the statement, even if we still call it a “fact.” This is how facts can mislead. And it is misleading through facts that gives post-truth it’s power.
You Can’t Handle Truth
Mark Inman, Ph.D.

Three systems I know: correspondence — pragmatic — coherence.

And there are lots of other truth-generating systems.