Properties and Facts
Finite fields cannot be ordered: in an ordered field the elements 0 < 1 < 1 + 1 < 1 + 1 + 1 < … are all different, so that an ordered field necessarily contains infinitely many elements.
Read more about this topic: Finite Field
Famous quotes containing the words properties and/or facts:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“The past is of no importance. The present is of no importance. It is with the future that we have to deal. For the past is what man should not have been. The present is what man ought not to be. The future is what artists are.
The facts: nothing matters but the facts: worship of the facts leads to everything, to happiness first of all and then to wealth.”
—Edmond De Goncourt (1822–1896)