infinite set

[ɪnˈfɪnət sɛt]
nounpl: infinite sets
conjunto infinito
1. A set that contains an unlimited number of elements; a set that is not finite
The set of all natural numbers is an infinite set.
O conjunto de todos os números naturais é um conjunto infinito.
2. In mathematics, a set with cardinality greater than any finite number
The real numbers form an infinite set with uncountable cardinality.
Os números reais formam um conjunto infinito com cardinalidade incontável.
This is a specialized mathematical term used uniformly across English-speaking and Portuguese-speaking academic communities. There are no colloquial variations or cultural differences in usage. The term is fundamental to set theory and higher mathematics curricula in both Brazil and Portugal.
Synonyms / Sinônimos
unbounded setendless setnon-finite set
Antonyms / Antônimos
finite setbounded setlimited set

Regional Variations

General Brazilian
conjunto infinito
Standard mathematical terminology used in Brazilian mathematics education
Portugal
conjunto infinito
Same terminology used in Portuguese mathematics; sometimes 'conjunto infinito' is emphasized in formal academic contexts
Academic/Technical
conjunto infinito
Used exclusively in mathematical and academic discourse across all Portuguese-speaking regions

Related Words

countably infiniteuncountably infinitecardinalityenumerable setsubsetsuperset
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