Disjunction And Existence Properties
In mathematical logic, the disjunction property is satisfied by a logic if whenever a sentence
is a theorem, then either is a theorem, or is a theorem.
The existence property or witness property is satisfied by a logic if whenever a sentence
is a theorem, then there is some term for which is a theorem.
Read more about Disjunction And Existence Properties: Background, Existence Property Implies Disjunction Property, Disjunction Property Implies Existence Property
Famous quotes containing the words existence and/or properties:
“When I think of God, when I think of him as existent, and when I believe him to be existent, my idea of him neither increases nor diminishes. But as it is certain there is a great difference betwixt the simple conception of the existence of an object, and the belief of it, and as this difference lies not in the parts or composition of the idea which we conceive; it follows, that it must lie in the manner in which we conceive it.”
—David Hume (1711–1776)
“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)