Please explain how Conditionally Convergent can be valid? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-19T09:56:03Z http://mathoverflow.net/feeds/question/49677 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/49677/please-explain-how-conditionally-convergent-can-be-valid Please explain how Conditionally Convergent can be valid? Toby 2010-12-16T18:53:01Z 2010-12-16T18:53:01Z <p>I understand the basic idea of Conditionally Convergent (some infinitely long series can be made to converge to any value by reordering the series). I just do not understand how this could possibly be true. I think it defies common sense and seems like a clear violation of the Commutative Law. </p>