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:
“Accuracy is, in every case, advantageous to beauty, and just reasoning to delicate sentiment. In vain would we exalt the one by depreciating the other.”
—David Hume (1711–1776)
“I only hope that when I am free,
As they are free, to go in quest
Of the knowledge beyond the bounds of life
It may not seem better to me to rest.”
—Robert Frost (1874–1963)