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Article #91Re: Pi day
From: Robert James Aguirre
Date: Mon, 24 Mar 1997 00:00
Date: Mon, 24 Mar 1997 00:00
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Martin Ward wrote: > I was referring to real numbers (like pi - see the subject line) so > Jaime's crticism is valid. I presume Ulrich was thinking of the natural > numbers, or possibly the rationals, or possibly rationals of the form > a/b where a,b are natural numbers with a<=31 and b<=12. Any of these > sets can be well-ordered, and then Ulrich's argument "works" as Katy > says. > > I like this argument, but of course it has a more subtle flaw... > -- Hmm I suppose the reals "can" be well ordered as well (or must I leave choice axioms alone...
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f458d,30fff994c7ddd7d9 X-Google-Attributes: gidf458d,public X-Google-Thread: 109d8a,30fff994c7ddd7d9 X-Google-Attributes: gid109d8a,public X-Google-Thread: 1130d6,30fff994c7ddd7d9 X-Google-Attributes: gid1130d6,public X-Google-Thread: 1077c2,30fff994c7ddd7d9 X-Google-Attributes: gid1077c2,public X-Google-Thread: 10d67e,30fff994c7ddd7d9 X-Google-Attributes: gid10d67e,public X-Google-Thread: f7972,30fff994c7ddd7d9 X-Google-Attributes: gidf7972,public From: Robert James Aguirre <robba@owlnet.rice.edu> Subject: Re: Pi day Date: 1997/03/24 Message-ID: <33375C6B.167EB0E7@owlnet.rice.edu> X-Deja-AN: 228148756 References: <8WRuzAAXBILzEwKP@ward-hull.demon.co.uk> Organization: Rice University, Houston, Texas Newsgroups: uk.education.maths,alt.uu.math.misc,aus.mathematics,can.schoolnet.math.sr,alt.math.recreational,sci.math