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:

    It is merely a linguistic peculiarity, not a logical fact, that we say “that is red” instead of “that reddens,” either in the sense of growing, becoming, red, or in the sense of making something else red.
    John Dewey (1859–1952)

    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)