Article View: fj.sci.math
Article #14131Re: ---HOW to prove that Axiom of CHOICE is not used in a proof
From: Ryu katsuaki
Date: Thu, 02 Jun 1994 16:54
Date: Thu, 02 Jun 1994 16:54
27 lines
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1829 bytes
$@3^!J$j$e$&!K$H$$$&$b$N$G$9!#$3(J$@$s$K$A$O!#(J In article <miha0008-290594232646@dialup-1-74.gw.umn.edu> miha0008@gold.tc.umn.edu (H. Reiju Mihara) writes: > Can somebody out there tell me as intuitively as possible how to prove that > a proof is free from Zorn's lemma? $@?'!9N,!"(J > In my proof, I believe that I didn't > use Zorn's lemma. $@$F!"$3$H$O$5!#(J $@Nc$($P!"(J $@!z$9$Y$F$N>&IJ$K2A3J$,$D$$$F$$$k$K$b4X$o$i$:!"(J $@!z$9$Y$F$N2A3J$rF1;~$KHf(J$@$Y$k$3$H$O$G$-$J$$!*(J $@$H$$$&$h$&$J<R2q$G$b@.$jN)$DDjM}$J$N!)(J $@$=$l$H$b!"!X$9$Y$F!YM-8B$NHO0O$G$d$C$F$$(J$@$k!)(J $@$@$C$?$i!"(JZorn's lemma $@$J$s$F:G=i!"%C$+$i4X(J $@78$J$$$7$#!#(J $@$^$"CG8@$O$G$-$J$$$1$I!"(J Zorn's lemma $@$/$i(J $@$$$O;H$C$F$k$s$8$c$J%9$+!#(J $@$G$O!#(J
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<RYU.94Jun2165439@csosf10.kyoto-su.ac.jp>Path:
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X-Google-Language: Japanese,JIS X-Google-Thread: 10cc56,1b46a901ab84c10e X-Google-Attributes: gid10cc56,public X-Google-Thread: f4956,1b46a901ab84c10e X-Google-Attributes: gidf4956,public X-Google-ArrivalTime: 1994-06-02 03:52:56 PST Path: arc1-ca.pugleaf.net!bga.com!news.sprintlink.net!hookup!yeshua.marcam.com!MathWorks.Com!europa.eng.gtefsd.com!howland.reston.ans.net!newsserver.jvnc.net!news.caren.net!news.join.ad.jp!wnoc-tyo-news!sh.wide!wnoc-snd-ss2!sakunami!kudpc!news.nca5.ad.jp!cc2000.kyoto-su.ac.jp!cc2000!ryu From: ryu@cc.kyoto-su.ac.jp (Ryu katsuaki) Newsgroups: fj.sci.math,sci.logic Subject: Re: ---HOW to prove that Axiom of CHOICE is not used in a proof Followup-To: fj.sci.math,sci.logic Date: 2 Jun 94 16:54:39 Organization: Kyoto-sangyo University Lines: 29 Message-ID: <RYU.94Jun2165439@csosf10.kyoto-su.ac.jp> References: <miha0008-290594232646@dialup-1-74.gw.umn.edu> NNTP-Posting-Host: csosf10.kyoto-su.ac.jp In-reply-to: miha0008@gold.tc.umn.edu's message of Mon, 30 May 1994 04:56:45 GMT