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Infinite Darkness
Infinite may refer to: Mathematics *Infinite set, a set that is not a finite set *Infinity, an abstract concept describing something without any limit Music *Infinite (group), a South Korean boy band *''Infinite'' (EP), debut EP of American musician Haywyre, released in 2012 *Infinite (Eminem album), ''Infinite'' (Eminem album), the debut album of American rapper Eminem, released in 1996 :*Infinite (Eminem song), ''Infinite'' (Eminem song), the debut song of American rapper Eminem, released in 1996 *Infinite (Stratovarius album), ''Infinite'' (Stratovarius album), a studio album by power metal band Stratovarius, released in 2000 *The Infinite (album), ''The Infinite'' (album), by trumpeter Dave Douglas, released in 2002 *"Infinite...", a 2004 single by Japanese singer Beni Arashiro *Infinite (Notaker song), a 2016 single by American electronic producer Notaker *Infinite (rapper), a Canadian rapper *Infinite (Sam Concepcion album), ''Infinite'' (Sam Concepcion album), the second ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Infinite Set
In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. Properties The set of natural numbers (whose existence is postulated by the axiom of infinity) is infinite. It is the only set that is directly required by the axioms to be infinite. The existence of any other infinite set can be proved in Zermelo–Fraenkel set theory (ZFC), but only by showing that it follows from the existence of the natural numbers. A set is infinite if and only if for every natural number, the set has a subset whose cardinality is that natural number. If the axiom of choice holds, then a set is infinite if and only if it includes a countable infinite subset. If a set of sets is infinite or contains an infinite element, then its union is infinite. The power set of an infinite set is infinite. Any superset of an infinite set is infinite. If an infinite set is partitioned into finitely many subsets, then at least one of them must be infinite. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
