# infinite set

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• infinite set — noun (mathematics) A set that can be put into a one one correspondence with part of itself • • • Main Entry: ↑infinite …   Useful english dictionary

• Infinite set — In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. Some examples are: * the set of all integers, {..., 1, 0, 1, 2, ...}, is a countably infinite set; and * the set of all real numbers… …   Wikipedia

• infinite set — (or collection or number) See denumerable/non denumerable …   Philosophy dictionary

• Dedekind-infinite set — In mathematics, a set A is Dedekind infinite if some proper subset B of A is equinumerous to A. Explicitly, this means that there is a bijective function from A onto some proper subset B of A. A set is Dedekind finite if it is not Dedekind… …   Wikipedia

• set — /set/, v., set, setting, n., adj., interj. v.t. 1. to put (something or someone) in a particular place: to set a vase on a table. 2. to place in a particular position or posture: Set the baby on his feet. 3. to place in some relation to something …   Universalium

• Set — /set/, n. Egyptian Relig. the brother and murderer of Osiris, represented as having the form of a donkey or other mammal and regarded as personifying the desert. Also, Seth. * * * I In mathematics and logic, any collection of objects (elements),… …   Universalium

• infinite — [in′fə nit] adj. [ME < L infinitus: see IN 2 & FINITE] 1. lacking limits or bounds; extending beyond measure or comprehension: without beginning or end; endless 2. very great; vast; immense 3. a) Math. indefinitely large; greater than any …   English World dictionary

• set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

• Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

• infinite — I. adjective Etymology: Middle English infinit, from Anglo French or Latin; Anglo French, from Latin infinitus, from in + finitus finite Date: 14th century 1. extending indefinitely ; endless < infinite space > 2. immeasurably or inconceivably… …   New Collegiate Dictionary

• infinite — infinite, eternal, sempiternal, boundless, illimitable, uncircumscribed mean having neither beginning nor end or being without known limits. Infinite especially as applied to God or his attributes implies immeasurability or an incapacity for… …   New Dictionary of Synonyms