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:
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