The Properties of Knowledge
Assuming that is an equivalence relation, and that the agents are perfect reasoners, a few properties of knowledge can be derived. The properties listed here are often known as the "S5 Properties," for reasons described in the Axiom Systems section below.
Read more about this topic: Epistemic Modal Logic
Famous quotes containing the words properties and/or knowledge:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“Do you know the balancings of the clouds, the wondrous works of the one whose knowledge is perfect, you whose garments are hot when the earth is still because of the south wind? Can you, like him, spread out the skies, hard as a molten mirror?”
—Bible: Hebrew, Job 37:16-18.
One of Job’s “comforters,” of God.