On 7/2/2014 9:52 AM, Bruno Marchal wrote:
The classical theory of knowledge, already present in ancien epistemology is the modal KT theory, or KT4.

K is [](A -> B) -> ([]A -> []B). It is equivalent with ([]A & [](A -> B)) -> []B. It is a belief in the modus ponens rule.

T is the important thing: the incorrigibility: you know only truth. []A -> A. The knowers knows. He might realize latter that he was wrong, but this disqualify his ancien "knowledge" as knowledge: admitting being wrong provides the admitting it was a belief, which can be wrong.

"4" is the formula []A -> [][]A. It is used for more stable knowledge than an immediate sort of knowledge. You know implies that you know that you know.

That makes no sense to me. You define knowing and X as "Believing X and X." But then you say the knower might be wrong!? You've already assumed he's right as part of defining "knower". So really you meant "believer" when you wrote "knower"?

Brent

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