A logical assertion is a statement that asserts that a certain premise is true, and is useful for statements in proof. It is equivalent to a sequent with an empty antecedent.
For example, if p = "x is even", the implication
is thus true. We can also write this using the logical assertion symbol, as
Famous quotes containing the words logical and/or assertion:
“The sensual and spiritual are linked together by a mysterious bond, sensed by our emotions, though hidden from our eyes. To this double nature of the visible and invisible world—to the profound longing for the latter, coupled with the feeling of the sweet necessity for the former, we owe all sound and logical systems of philosophy, truly based on the immutable principles of our nature, just as from the same source arise the most senseless enthusiasms.”
—Karl Wilhelm Von Humboldt (1767–1835)
“The trenchant editorials plus the keen rivalry natural to extremely partisan papers made it necessary for the editors to be expert pugilists and duelists as well as journalists. An editor made no assertion that he could not defend with fists or firearms.”
—Federal Writers’ Project Of The Wor, U.S. public relief program (1935-1943)