Comments on: Do Real Numbers Exist? http://socialmode.com/2008/07/23/do-real-numbers-exist/ Integrated Synthesis of Media, Society and Behavior Fri, 06 Jan 2012 18:54:37 +0000 hourly 1 http://wordpress.com/ By: John Gabriel http://socialmode.com/2008/07/23/do-real-numbers-exist/#comment-2455 Sun, 07 Aug 2011 20:56:55 +0000 http://un1crom.wordpress.com/?p=235#comment-2455 There is no such thing as a real number. There is only an incommensurable magnitude which has come to be known as an irrational number. The rational numbers and incommensurable magnitudes (which can be approximated using rational numbers) have come to be known as real numbers. In truth, real numbers have never been well-defined because an irrational number has never been well-defined. Since the Ancient Greeks invented numbers, there has been zero progress in this regard.

Neither Cauchy sequences nor Dedekind cuts define a real number but these are still taught ubiquitously in universities worldwide.

]]> By: What Is Mathematics - the follow up to Do Real Numbers Exist « Social Mode http://socialmode.com/2008/07/23/do-real-numbers-exist/#comment-340 Sat, 26 Jul 2008 14:30:10 +0000 http://un1crom.wordpress.com/?p=235#comment-340 [...] July 26, 2008 by un1crom A couple of posts ago I asked if real numbers exist (like pi). [...]

]]> By: The Infinity Problem « A New Kind of Science Blog http://socialmode.com/2008/07/23/do-real-numbers-exist/#comment-335 Thu, 24 Jul 2008 14:03:48 +0000 http://un1crom.wordpress.com/?p=235#comment-335 [...] 24, 2008 by TheNKSBlogTeam This began as a comment on Russell’s post, “Do Real Numbers Exist?” over at Social Mode, and got a bit lengthy, so I decided to post it [...]

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