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Two-element Boolean algebra
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a> and <a href="/facts/Abstract_algebra/YNNE1CNz">abstract algebra</a>, the two-element Boolean algebra is the <a href="/facts/Boolean_algebra_(structure)/cHbo65jm">Boolean algebra</a> whose <i>underlying set</i> (or <a href="/facts/Universe_(mathematics)/v2oJnu4e">universe</a> or <i>carrier</i>) <i>B</i> is the <a href="/facts/Boolean_domain/9cYq9TC1">Boolean domain</a>. The elements of the Boolean domain are 1 and 0 by convention, so that <i>B</i> = {0, 1}. <a href="/facts/Paul_Halmos/mR11lcap">Paul Halmos</a>'s name for this algebra "2" has some following in the literature, and will be employed here. </p>