Truth, Semantics, and Meaning: What does it mean to assert that something is true? A very popular answer is map-territory correspondence theory. But the details of this theory are not clear, and there are other contenders.
Many consider truth as the correspondence between reality and one's beliefs about reality. Within this frame, truth itself is not necessarily limited to one's belief about something. For a statement/ideal/proposed fact to be considered "true," you must take it as its definition. Truth doesn't imply that something has to be proven in order for it to be made true, but that the statement/ideal/proposed fact has to be true all of the time, regardless of one's belief.
Alfred Tarski defined truth in terms of an infinite family of sentences such as:...