infinite
Definition from Wiktionary, the free dictionary
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English [edit]
Etymology [edit]
From Latin infinitus, from in- (“not”) + finis (“end”) + the perfect passive participle ending -itus.
Pronunciation [edit]
Adjective [edit]
infinite (comparative more infinite, superlative most infinite)
- Indefinably large, countlessly great; immense. [from 14th c.]
- 1603, John Florio, trans. Michel de Montaigne, Essays, I.40:
- The number is so infinite, that verily it would be an easier matter for me to reckon up those that have feared the same.
- 1603, John Florio, trans. Michel de Montaigne, Essays, I.40:
- Boundless, endless, without end or limits; innumerable. [from 15th c.]
- (now rare) With plural noun: infinitely many. [from 15th c.]
- (mathematics) Greater than any positive quantity or magnitude; limitless. [from 17th c.]
- (set theory, of a set) Having infinitely many elements.
- 2009, Brandon C. Look, “Symbolic Logic II, Lecture 2: Set Theory”, www.uky.edu/~look, accessed on 2012-11-20:
- For any infinite set, there is a 1-1 correspondence between it and at least one of its proper subsets. For example, there is a 1-1 correspondence between the set of natural numbers and the set of squares of natural numbers, which is a proper subset of the set of natural numbers.
- 2009, Brandon C. Look, “Symbolic Logic II, Lecture 2: Set Theory”, www.uky.edu/~look, accessed on 2012-11-20:
- (grammar) Not limited by person or number. [from 19th c.]
Usage notes [edit]
Although the term is incomparable in the precise sense, it can be comparable both in mathematics and set theory to compare different degrees of infinity, and informally to denote yet a larger thing.
Synonyms [edit]
- The terms below need to be checked and allocated to the definitions (senses) of the headword above. Each term should appear in the sense for which it is appropriate. Use the template
{{sense|"gloss"}}, substituting a short version of the definition for "gloss".
- amaranthine
- boundless
- countless
- endless
- immeasurable
- inestimable
- interminable
- limitless
- unbounded
- unlimited
- vast
Antonyms [edit]
Hyponyms [edit]
- (set theory): countably infinite
- (set theory): uncountable
Derived terms [edit]
Translations [edit]
boundless, endless
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number larger than any given number
having infinitely many elements
figuratively, very large
- The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.
Translations to be checked
Numeral [edit]
infinite
- Infinitely many.
Italian [edit]
Adjective [edit]
infinite f pl
- feminine plural form of infinito
Latin [edit]
Adjective [edit]
īnfīnīte
- vocative masculine singular of īnfīnītus
