<span class="mw-page-title-main">Infinite set</span>

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Infinite set

<p>In <a href="/en/Set_theory" title="Set theory" class="wl">set theory</a>, an <b>infinite set</b> is a <a href="/en/Set_(mathematics)" title="Set (mathematics)" class="wl">set</a> that is not a <a href="/en/Finite_set" title="Finite set" class="wl">finite set</a>. <a href="/en/Infinity" title="Infinity" class="wl">Infinite</a> sets may be <a href="/en/Countable_set" title="Countable set" class="wl">countable</a> or <a href="/en/Uncountable_set" title="Uncountable set" class="wl">uncountable</a>.<span class="mw-ref reference" id="cite_ref-1"><a href="#cite_note-1" style="counter-reset: mw-Ref 1;"><span class="mw-reflink-text">[1]</span></a></span><span class="mw-ref reference" id="cite_ref-:0_2-0"><a href="#cite_note-:0-2" style="counter-reset: mw-Ref 2;"><span class="mw-reflink-text">[2]</span></a></span></p> 

<div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none" about="#mwt1">Set that is not a finite set</div>

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In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. 