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:
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)
“To be a poet is to have a soul so quick to discern, that no shade of quality escapes it, and so quick to feel, that discernment is but a hand playing with finely-ordered variety on the chords of emotion—a soul in which knowledge passes instantaneously into feeling, and feeling flashes back as a new organ of knowledge. One may have that condition by fits only.”
—George Eliot [Mary Ann (or Marian)