Order
The order relation cannot be extended to in a meaningful way. Given a real number a, there is no convincing reason to decide that or that . Since can't be compared with any of the other elements, there's no point in using this relation at all. As another example, both and are true. However, order is used to make definitions in that are based on the properties of reals.
Read more about this topic: Real Projective Line
Famous quotes containing the word order:
“Ideally a book would have no order to it, and the reader would have to discover his own.”
—Raoul Vaneigem (b. 1934)
“We are born into them, marry into them, even create them among the people we love. They come large and extended...or small and nuclear. But whatever their size or wherever they live, strong families give us the nurturance and strength we need in order to survive.”
—Andrea Davis (20th century)
“The experience and behaviour that gets labelled schizophrenic is a special strategy that a person invents in order to live in an unlivable situation.”
—R.D. (Ronald David)