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Ad infinitum | | Ad infinitum: Encyclopedia - Ad infinitum | | | Ad infinitum is a Latin phrase meaning "to infinity."
In context, it usually means "continue forever," and thus can be used to describe a non-terminating process, a non-terminating repeating process, or a set of instructions to be repeated "forever," among other uses. It may also be used in a manner similar to the Latin phrase "et cetera" to denote written words or a concept that continues for a lengthy period beyond what is shown. Examples include:
"The series 2, 4, 6, 8, 10 ... ...
| | | Ad infinitum, Turtles all the way down, Möbius strip | | |
| | | Ad infinitum: Encyclopedia - Ad infinitum
Ad infinitum
Ad infinitum is a Latin phrase meaning "to infinity."
In context, it usually means "continue forever," and thus can be used to describe a non-terminating process, a non-terminating repeating process, or a set of instructions to be repeated "forever," among other uses. It may also be used in a manner similar to the Latin phrase "et cetera" to denote written words or a concept that continues for a lengthy period beyond what is shown. Examples include:
- "The series 2, 4, 6, 8, 10 ... continues ad infinitum."
- "The perimeter of a fractal may be iteratively drawn ad infinitum, and thus its length will approach infinity."
- The 17th century writer Jonathan Swift mocked the idea of self-similarity in natural philosophy with the following ditty:
"So nat'ralists observe, a flea
Hath smaller fleas that on him prey,
And these have smaller fleas that bite 'em,
And so proceed ad infinitum."
- Which was itself parodied by the Victorian era mathematician Augustus de Morgan:
"Great fleas have little fleas upon their backs to bite 'em,
And little fleas have lesser fleas, and so on ad infinitum.
And the great fleas themselves, in turn, have greater fleas to go on,
While these again have greater still, and greater still, and so on."
See also
- Turtles all the way down
- Möbius strip
Ad infinitum is also a short-lived British musical group. "AD Infinitum" is also the name of a software product that assists in the management of Active Directory.
Category: Latin phrases
Other related archivesActive Directory, Ad infinitum, Augustus de Morgan, Jonathan Swift, Latin, Latin phrases, Möbius strip, Turtles all the way down, Victorian era, et cetera, fractal, phrase, self-similarity, series
 Adapted from the Wikipedia article "Ad infinitum", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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