Almost
In mathematics, especially in set theory, when dealing with sets of infinite size, the term almost or nearly is used to mean all the elements except for finitely many.In other words, an infinite set S that is a subset of another infinite set L, is almost L if the subtracted set L\S is of finite size.
This is conceptually similar to the Almost everywhere concept of Measure theory.
Examples:
- The set <math> S = \{ n \in \mathbf{N} | n \ge k \} </math> is almost N for any k in N, because only finitely many natural numbers are less than k.
- The set of prime numbers isn't almost N because there are infinitely many natural numbers that are not prime numbers.
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great that the traveller hastened away. He passed many other
last he came to one that looked even blinder than the rest, but whose
the traveller sat down to listen. For a long time he listened to
he heard a faint rustle and three little oval nuts lay on the ground.
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said:
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listening for the fall of nuts.
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much bad and false fiction; why the demand for it is so great.
furnish the exception to this rule. For, consider how, as a class,
occupation, nothing whatever compels any one of us to serve an
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