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Article #1263Re: I think numbers should be more colorful !
From: David N. Williams
Date: Mon, 21 Nov 2005 12:47
Date: Mon, 21 Nov 2005 12:47
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2288 bytes
Eliot Coweye wrote: > IMO the 1 certainly is green, the 2 blue and a 3 is yellow, while 4 > should be orange, 5 brown and 7 pink.8 is red and 9 grey and 0, of > course, black. > > I think with the right colors, we'll be able to solve more mathematical > problems, because the colors will add a new dimension to boring > numbers. > > What do you think? Probably you haven't heard of the theory of interesting numbers. Some people where I worked in the late 50's taught me about it. For nonnegative integers, here's a sample: One is an interesting number, because it's the only nonzero number whose square is itself. Suppose n is an interesting number. Then n+1 is interesting, because it comes just after an interesting number. Voilà! On the other hand, there must be at least one uninteresting nonnegative integer, because it would be boring if they were all the same. So this theory has already generated a deep paradox, just like set theory. Maybe not so surprising, given the set theory construction of the Peano axioms. Oops, I see this is a digression from numerical analysis... -- David
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X-Google-Thread: 107079,b6c6166e870cb3f1 X-Google-Thread: 108147,b6c6166e870cb3f1 X-Google-Attributes: gid107079,gid108147,public X-Google-Language: ENGLISH,ASCII Path: arc1-ca.pugleaf.net!g2news1.google.com!news3.google.com!news.glorb.com!logbridge.uoregon.edu!newsxfer.itd.umich.edu!news.itd.umich.edu!53ab2750!not-for-mail From: "David N. Williams" <david.n.williams@umich.edu> User-Agent: Mozilla/5.0 (Macintosh; U; PPC Mac OS X Mach-O; en-US; rv:1.7.2) Gecko/20040804 Netscape/7.2 X-Accept-Language: en,pdf MIME-Version: 1.0 Newsgroups: sci.math.num-analysis,brasil.unix Subject: Re: I think numbers should be more colorful ! References: <1132536553.040661.34200@g49g2000cwa.googlegroups.com> In-Reply-To: <1132536553.040661.34200@g49g2000cwa.googlegroups.com> Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: quoted-printable Lines: 33 Message-ID: <Vljgf.1590$yb2.1304@news.itd.umich.edu> Date: Mon, 21 Nov 2005 07:47:42 -0500 NNTP-Posting-Host: 207.75.178.162 X-Trace: news.itd.umich.edu 1132577269 207.75.178.162 (Mon, 21 Nov 2005 07:47:49 EST) NNTP-Posting-Date: Mon, 21 Nov 2005 07:47:49 EST