Existence
There are several methods that can be used to prove the existence of non-standard models of arithmetic.
Read more about this topic: Non-standard Model Of Arithmetic
Famous quotes containing the word existence:
“I came here for one thing only, to try to help national Ireland—and if there is no such thing in existence then the sooner I pay for my illusions the better.”
—Roger Casement (1864–1916)
“During a walk or in a book or in the middle of an embrace, suddenly I awake to a stark amazement at everything. The bare fact of existence paralyzes me... To be alive is so incredible that all I can do is to lie still and merely breathe—like an infant on its back in a cot. It is impossible to be interested in anything in particular while overhead the sun shines or underneath my feet grows a single blade of grass.”
—W.N.P. Barbellion (1889–1919)
“We are compelled by the theory of God’s already achieved perfection to make Him a devil as well as a god, because of the existence of evil. The god of love, if omnipotent and omniscient, must be the god of cancer and epilepsy as well.... Whoever admits that anything living is evil must either believe that God is malignantly capable of creating evil, or else believe that God has made many mistakes in His attempts to make a perfect being.”
—George Bernard Shaw (1856–1950)