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**That isn't a partition. If c is in R, then for <nowiki>{A,B}</nowiki> to be a partition of R, c needs to be in A or in B. Eg, for property 4, c would have to be either the largest member of A or the smallest member B. [[User:Aij|Aij]] ([[User talk:Aij|talk]]) 02:13, 15 April 2008 (UTC)
@AxelBoldt - In your example, why can't the boundary point be the largest rational in ''A'' or the smallest rational in ''B''? Then, all rationals less than the boundary will be in ''A'' and all rationals greater than the boundary will be in ''B''. Or am I misunderstanding the meaning of the word "every point" as "every point in ''R''"? <small><span class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Vijayaraghavan2k5|Vijayaraghavan2k5]] ([[User talk:Vijayaraghavan2k5|talk]] • [[Special:Contributions/Vijayaraghavan2k5|contribs]]) 08:11, 11 January 2010 (UTC)</span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->
==Complete is the wrong word==
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