Disjunction and Existence Properties

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:

    We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.
    Blaise Pascal (1623–1662)

    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)