Logical Assertion

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:

    Opera, next to Gothic architecture, is one of the strangest inventions of Western man. It could not have been foreseen by any logical process.
    Kenneth MacKenzie Clark, Baron of Saltwood (1903–1983)

    Aphorisms are essentially an aristocratic genre of writing. The aphorist does not argue or explain, he asserts; and implicit in his assertion is a conviction that he is wiser and more intelligent than his readers.
    —W.H. (Wystan Hugh)