Reasoning About Knowledge
If a logic includes formulae that mean that something is not known, this logic should not be monotonic. Indeed, learning something that was previously not known leads to the removal of the formula specifying that this piece of knowledge is not known. This second change (a removal caused by an addition) violates the condition of monotonicity. A logic for reasoning about knowledge is the autoepistemic logic.
Read more about this topic: Non-monotonic Logic
Famous quotes containing the words reasoning and/or knowledge:
“We put [young children] into kindergarten where their reasoning powers are ruined; or, if we can afford it, we buy Montessori outfits that were invented for semi-imbeciles in Italian slums; or we send them to outdoor schools and give them prizes for sleeping.”
—Katharine Fullerton Gerould (18791944)
“The worst condition of humans is when they lose knowledge and control of themselves.”
—Michel de Montaigne (15331592)