infinity
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English
[edit]Etymology
[edit]From Middle English infinite, from Old French infinité, from Latin infinitas (“unlimitedness”), from negative prefix in- (“not”), + finis (“end”), + noun of state suffix -tas.
Pronunciation
[edit]Noun
[edit]infinity (countable and uncountable, plural infinities)
- (uncountable) endlessness, unlimitedness, absence of a beginning, end or limits to size.
- (countable, mathematics) A number that has an infinite numerical value that cannot be counted.
- 2012 January, Michael Riordan, “Tackling Infinity”, in American Scientist[1], volume 100, number 1, archived from the original on 30 April 2013, page 86:
- Some of the most beautiful and thus appealing physical theories, including quantum electrodynamics and quantum gravity, have been dogged for decades by infinities that erupt when theorists try to prod their calculations into new domains. Getting rid of these nagging infinities has probably occupied far more effort than was spent in originating the theories.
- (countable, topology, mathematical analysis) An idealised point which is said to be approached by sequences of values whose magnitudes increase without bound.
- (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.
- (countable, uncountable) The symbol ∞.
Usage notes
[edit]In mathematics there are several different infinities; see transfinite.
Synonyms
[edit]- (absence of a beginning, end or limits to size): See also Thesaurus:infinity
Antonyms
[edit]Derived terms
[edit]Related terms
[edit]Translations
[edit]endlessness, unlimitedness, absence of end or limit
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a number that has an infinite, uncountable numerical value
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a number which is very large compared to some characteristic number
the symbol ∞
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- The translations below need to be checked and inserted above into the appropriate translation tables. See instructions at Wiktionary:Entry layout § Translations.
Translations to be checked
See also
[edit]Categories:
- English terms inherited from Middle English
- English terms derived from Middle English
- English terms derived from Old French
- English terms derived from Latin
- English 4-syllable words
- English terms with IPA pronunciation
- English terms with audio links
- Rhymes:English/ɪnɪti
- Rhymes:English/ɪnɪti/4 syllables
- English lemmas
- English nouns
- English uncountable nouns
- English countable nouns
- en:Mathematics
- English terms with quotations
- en:Topology
- en:Mathematical analysis
- en:Infinity