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:
“Grammar is a tricky, inconsistent thing. Being the backbone of speech and writing, it should, we think, be eminently logical, make perfect sense, like the human skeleton. But, of course, the skeleton is arbitrary, too. Why twelve pairs of ribs rather than eleven or thirteen? Why thirty-two teeth? It has something to do with evolution and functionalism—but only sometimes, not always. So there are aspects of grammar that make good, logical sense, and others that do not.”
—John Simon (b. 1925)
“Flowers and fruits are always fit presents; flowers, because they are a proud assertion that a ray of beauty outvalues all of the utilities of the world. These gay natures contrast with the somewhat stern countenance of ordinary nature: they are like music heard out of a work-house.”
—Ralph Waldo Emerson (1803–1882)