"What is truth? said jesting Pilate; and would not stay for an answer." What is truth?
What we mean by our concepts, in this case truth, is a function of how we use concepts in our “forms of life,” that is, it is a linguistic social construct. These linguistic social constructs are governed by implicit and explicit rules (rules of grammar and other socially contrived rules), but these rules are not always hard and fast, they allow for expansion and contraction. However, expand too much, or contract too much, and you are pushing the limits of what can be said, or constricting what can sensibly said.
Our use of the concept truth is a function of statements, more precisely propositions. Propositions are used to express one’s belief or claim within a rule-governed social context. These propositions are for the most part binary in nature, that is, if the claim/belief is true, then the proposition aligns, corresponds, mirrors, correlates, pictures, a fact (state-of-affairs) in reality (reality being anything that can be said to exist, even the abstract, as well as the stories of fiction). If the proposition misses the mark, or does not accomplish its goal, as a picture or a correlate of reality, then it is false.
The ontology of facts is quite broad in its depth, as I have already hinted. We can speak of facts in objective reality, for example, “The Earth has one moon.” We can speak of the facts of logic and mathematics, which are governed by the rules of these particular languages. We can also speak of subjective facts, for example, “Sam likes apples.” There are even facts of fiction, which have no objective instance in reality, other than the story itself, and the expanded use of concepts within that story. The relation of our claims to truth (statements/propositional claims), or our denial of said claims, namely, our beliefs that such and such is the case, is a relation between our statements/propositions within our “forms of life,” and what we believe are the actual facts of reality.