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Article #765Re: A Guide for Cantor Cranks
From: Albrecht
Date: Wed, 30 Mar 2011 05:54
Date: Wed, 30 Mar 2011 05:54
34 lines
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3363 bytes
On 29 Mrz., 23:04, MoeBlee <jazzm...@hotmail.com> wrote: > To Mar 29, 3:48 pm, Transfer Principle <lwal...@lausd.net> wrote: > > "all known proofs in ZF of the existence of > uncountable sets require both Infinity and Powerset" > > and > > "Without these axioms the interpretation of the diagonal argument of > Cantor is completely different from the common interpretation." > > Those are quite different. To BEGIN with, the first is a clear and the > second is, at best, vague. > > > In theories other than ZFC, there really can be a different > > interpretation > > of Cantor's diagonal from the common interpretation. > > Interpretations aren't per a THEORY; interpretations are per a > LANGUAGE. > > The LANGUAGE of ZFC can have all kinds of interpretations, > irrespective of any theories. > > No matter WHAT axioms we adopt, we can interepret some sentence in the > language of ZFC in all kinds of ways. > Mathematicians (or people who mistaken themselves for mathematicians) has one thing in common: they are unable to admit faults. In consequence of that, they argue frequently like pettyfoggers. Best Albrecht
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X-Google-Thread: 10cc56,bdbafb069b8118a7 X-Google-NewGroupId: yes X-Google-Thread: 109d8a,bdbafb069b8118a7 X-Google-NewGroupId: yes X-Google-Thread: fd648,af7892021029fe4a X-Google-NewGroupId: yes X-Google-Attributes: gide4b186767d,gid9ef9b79ae9,giddb42311052,domainid0,public,usenet X-Google-Language: ENGLISH,ASCII Path: arc1-ca.pugleaf.net!g2news1.google.com!postnews.google.com!w9g2000prg.googlegroups.com!not-for-mail From: Albrecht <albstorz@gmx.de> Newsgroups: sci.logic,sci.math,comp.theory,sci.physics,aus.science Subject: Re: A Guide for Cantor Cranks Date: Tue, 29 Mar 2011 22:54:09 -0700 (PDT) Organization: http://groups.google.com Lines: 35 Message-ID: <bde5d4fe-5ed9-4ff2-b027-1ffedfb1fc33@w9g2000prg.googlegroups.com> References: <40e69d0c-eb77-4308-996e-c7dfc1a0ec1e@j13g2000pro.googlegroups.com> <35760f05-df0e-4c29-85c0-08f98cf10a42@s18g2000prg.googlegroups.com> <521e5cfe-5269-4d9a-ab45-5e8cf597b2d1@y31g2000vbp.googlegroups.com> <971970b6-b722-4f38-96cb-4aef5f17e96e@b22g2000prb.googlegroups.com> <d9d86644-ea52-4f53-ba2f-42d2718630c0@k7g2000yqj.googlegroups.com> <b05355b2-d80e-47ec-9c3b-43e7bc40ab32@22g2000prx.googlegroups.com> <4D8B5041.9060702@osu.edu> <936fb9f1-da8e-4533-93a1-15cf5d060cc5@k7g2000yqj.googlegroups.com> <357b5567-048f-41ad-bb72-b662b2fd0163@k22g2000yqh.googlegroups.com> <a1dcf298-c9ac-493b-8f84-aba738455b49@i35g2000prd.googlegroups.com> <65ad9136-326c-454d-b3e0-64a53d315865@z20g2000yqe.googlegroups.com> <7c3e4109-a175-4566-b628-5ebf0f881ddd@n2g2000prj.googlegroups.com> <9a5222ca-55ca-44fa-b135-56bd4c98d1d6@o20g2000yqk.googlegroups.com> NNTP-Posting-Host: 85.216.94.224 Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: posting.google.com 1301464449 1045 127.0.0.1 (30 Mar 2011 05:54:09 GMT) X-Complaints-To: groups-abuse@google.com NNTP-Posting-Date: Wed, 30 Mar 2011 05:54:09 +0000 (UTC) Complaints-To: groups-abuse@google.com Injection-Info: w9g2000prg.googlegroups.com; posting-host=85.216.94.224; posting-account=6xUtvgkAAAD_jypmLa2oo2HnrV0e8X9q User-Agent: G2/1.0 X-HTTP-UserAgent: Mozilla/5.0 (Windows NT 5.1; rv:2.0) Gecko/20100101 Firefox/4.0,gzip(gfe)