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:
“Nature’s law says that the strong must prevent the weak from living, but only in a newspaper article or textbook can this be packaged into a comprehensible thought. In the soup of everyday life, in the mixture of minutia from which human relations are woven, it is not a law. It is a logical incongruity when both strong and weak fall victim to their mutual relations, unconsciously subservient to some unknown guiding power that stands outside of life, irrelevant to man.”
—Anton Pavlovich Chekhov (1860–1904)
“I feel a kind of reverence for the first books of young authors. There is so much aspiration in them, so much audacious hope and trembling fear, so much of the heart’s history, that all errors and shortcomings are for a while lost sight of in the amiable self assertion of youth.”
—Henry Wadsworth Longfellow (1807–1882)