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In context, it usually means "continue forever, without limit" and this can be used to describe a non-terminating process, a non-terminating
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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
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to denote written words or a concept that continues for a lengthy period beyond what is shown. Examples include:
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De Morgan, Augustus (1915). Smith, David Eugene (ed.).
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100:in the following lines from his satirical poem
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223:. Vol. II (2nd ed.). p. 191.
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117:And these have smaller still to bite 'em,
16:Latin phrase meaning 'continuing forever'
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306:Hilbert's paradox of the Grand Hotel
136:included similar lines in his rhyme
115:Has smaller fleas that on him prey;
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501:Differential geometry of surfaces
296:Controversy over Cantor's theory
127:Is bit by him that comes behind
357:Synthetic differential geometry
113:So, naturalists observe, a flea
111:Their foes superior by an inch.
109:The vermin only teaze and pinch
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125:Thus every poet, in his kind,
23:Ad Infinitum (disambiguation)
403:Cardinality of the continuum
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366:Formalizations of infinity
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542:Gottfried Wilhelm Leibniz
96:incorporated the idea of
84:may be iteratively drawn
193:Swift, Jonathan (1733).
174:Turtles all the way down
168:The Song That Never Ends
92:The 17th-century writer
588:Latin words and phrases
547:August Ferdinand Möbius
330:Branches of mathematics
321:Paradoxes of set theory
152:Mathematical induction
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583:Latin logical phrases
511:Möbius transformation
408:Dedekind-infinite set
316:Paradoxes of infinity
311:Infinity (philosophy)
220:A Budget of Paradoxes
196:On Poetry: a Rhapsody
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102:On Poetry: a Rhapsody
347:Nonstandard analysis
80:"The perimeter of a
44:" or "forevermore".
21:For other uses, see
516:Riemannian manifold
485:Transfinite numbers
342:Internal set theory
469:Sphere at infinity
420:(Complex infinity)
134:Augustus De Morgan
132:The mathematician
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459:Point at infinity
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383:Actual infinity
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119:And so proceed
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532:Georg Cantor
506:Möbius plane
444:Infinite set
388:Aleph number
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200:. Retrieved
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139:Siphonaptera
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121:ad infinitum
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86:ad infinitum
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75:ad infinitum
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71:1, 2, 3, ...
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40:meaning "to
30:Ad infinitum
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393:Beth number
202:14 December
48:Description
572:Categories
494:Geometries
352:Set theory
180:References
73:continues
475:Supertask
157:Recursion
59:et cetera
54:repeating
578:Infinity
373:0.999...
265:Infinity
146:See also
104:(1733):
68:sequence
42:infinity
291:Apeiron
279:History
82:fractal
38:phrase
66:"The
35:Latin
33:is a
204:2017
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270:∞
267:(
257:e
250:t
243:v
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123:.
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