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What does infinity mean?

Looking for the meaning or definition of the word infinity? Here's what it means.

Noun
  1. (uncountable) Endlessness, unlimitedness, absence of a beginning, end or limits to size.
  2. (mathematics) A number that has an infinite numerical value that cannot be counted.
  3. (countable, topology, analysis) An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.
  4. (uncountable) A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.
  5. (uncountable) The symbol ∞.
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Examples
I believe the Shuttle cameras focus everything from a few inches away until infinity.
This work contains fundamental ideas of projective geometry such as the cross-ratio, perspective, involution and the circular points at infinity.
The bluish region had now resolved itself into what appeared to be a tunnel, vanishing to infinity in the distance.
To our north, the vast featureless Kazakh steppes, an area the size of Western Europe, stretched away seemingly to infinity.
The pool is so designed that its end wall is on a level with the backwaters, conveying the illusion of stretching into infinity.
Her reflection in the sparkling water below and in the clear blue air above stretches to infinity.

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