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)
“It is part of the educator’s responsibility to see equally to two things: First, that the problem grows out of the conditions of the experience being had in the present, and that it is within the range of the capacity of students; and, secondly, that it is such that it arouses in the learner an active quest for information and for production of new ideas. The new facts and new ideas thus obtained become the ground for further experiences in which new problems are presented.”
—John Dewey (1859–1952)