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.
You Can’t Handle Truth
Mark Inman, Ph.D.

This is really similar to what I’ve been thinking about. Everyone has beliefs, and those beliefs help resolve information into knowledge; beliefs can come directly from the senses/feelings, or from existing knowledge.

The idea that someone else’s truth system may claim true what you think is false seems very similar to the first order logic axiom that anything following a false premise is true (trivially); someone else’s truth system is, to you, a false premise.

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