Article View: fj.sci.math
Article #14303Re: Q in intutionistic math.
From: Satoshi Kobayashi
Date: Fri, 27 Nov 1992 08:48
Date: Fri, 27 Nov 1992 08:48
89 lines
5813 bytes
5813 bytes
$@>.NSAo(J@$@N6C+Bg3X$G$9!#(J In article <RYU.92Nov26090536@sysipk.sys.titech.ac.jp> ryu@sys.titech.ac.jp (ryu) writes: |In article <SATOSHI.92Nov25172256@whale.ryukoku.ac.jp> satoshi@whale.ryukoku.ac.jp (Satoshi Kobayashi) writes: | | |7$@>O$K$O(J sheaf model $@$NOC$b$"$j$^$9!#(J | |presheaf $@$G$J$/$F(J sheaf $@$G$9$+!)(J |presheaf semantics $@$J$iJL$KFI$`$[$I$N$b$N$G$O(J$@$J$$$H;W$&$N$G$9$,!#(J $@$^$"!"3N$+$K$d$5$7$$$N$G!"FI$`$[$I$N$b$N$G$O$J$$$+$bCN$l$^$;$s$,!#(J $@:#!"5W$7?6$j(J$@$KK\$r3+$$$F$_$?$i!"(J7$@>O$OLs(J15$@%Z!<%8$H$-$o$a$FGv$/!"$=$N$&(J $@$A$G!"(Jsheaf model $@$H(J presheaf model $@$N@bL@$O(J$@$=$l$>$l$o$:$+(J3$@%Z!<%8$/$i(J $@$$$G$9!#:#FI$`$H@bL@$b$A$g$C$H$$$$2C8:$J$h$&$G$9!#$H$$$&$o$1$G!"(Jsheaf model $@$K$D$$$F$A$c$s$HJY6/$7$?$$?M$K$O$3$NK\$N(J7$@>O$O$9$9$a$i$l$J$$$h$&(J $@$G$9!#BgBN$N$3$H$@$1$G$$$$$J$iJL$@$1(J$@$I!#(J | |$@3^$5$s$OBe?t$K6=L#$,$"$k$h$&$G$9$,!"9=@.E*Be?t3X$K$D$$$F$O!"(J | | | |R. Mines, F. Richman, W. Ruitenberg: | |A Course on Constructive Algebra, | |(Springer) | | | |$@$H$$$&K\$,$"$j$^$9!#(J | |$@$H$$$&$o$1$G!"$3$N$X$s$NK\$rFI$s$G$_$F$O$$$+$,$G$7$g$&$+(J > $@3^$5$s(J | |$@<B$O$3$NK\$O;d$NIt20$N%9%_%C(J$@%3$KE>$,$C$F$$$^$9!#(J |$@:G=i$N$[$&$rFI$s$G$$$?$i!"$b$&!"%$%i%$%i%$%i%$%i$7$F$7$^$C$F!"!"!"!"(J $@$=$&$G$9(J$@$+!#$^$"!"?M$=$l$>$l9%$_$,$"$k$G$7$g$&$+$i!#(J |$@!V8xM}E*=89gO@$NN)>l!W$"$?$j$,H)$K9g$&$h$&$G$9!#(J $@$3$N(J$@8xM}E*=89gO@$C$F8@$&$N$O!"(JIZF $@$N$3$H$G$9$+(J? IZF $@$NCf$G9M$($h$&$H$9(J $@$k$H!"(JBishop $@N.(J($@>e$N$h$&$JK\$O$[$\(J Bishop $@N.$K$=$C$F$$$k$H;W$$$^$9(J)$@$G(J $@$d$k$h$j$b$b$C$H6l$7$/$FBgJQ$G$9$h!#??7u$K$d$j=P$9$H!"$=$l$3$=%$%i(J$@%$%i(J $@$9$k$+$bCN$l$^$;$s!#$J$<$+$H8@$&$H!"(JIZF $@$G$O!"2D;;A*Br8xM}$H$+!"0MB8A*(J $@Br8xM}$,;H$($J$$$+$i$G$9!#(J$@$3$l$i$N8xM}$O!"?t3X$GIQHK$K;H$o$l$F$$$F!"(J Bishop $@N.$N9=@.E*?t3X$G$b<+M3$K;H$C$F$$$k$N$G$9$,!"$3$l$,;H(J$@$($J$$$H$J(J $@$k$H7k9=$-$D$$$O$:$G$9!#Nc$($P!"2r@O3X$N>ZL@$G!"2r$K<}B+$9$k?tNs$r:n$k(J $@$h$&$J=j$G$h$/2D;;A*(J$@Br8xM}$r;H$$$^$9$N$G!#(J $@$^$"!"2D;;A*Br8xM}$N;HMQ$rHr$1$k%F%/%K%C%/$b$"$C$F!"$"$kDxEY$OHr$1$i$l(J $@$k$h$&(J$@$J$N$G$9$,!#C]Fb30;K!VD>4Q<g5AE*=89gO@!W$NBh(J3$@>O$N:G=i$G!V9-$$0U(J $@L#$N%3!<%7!<Ns!W$H$$$&$N$rF3F~$7$F$$$k(J$@$N$O!"$=$N$?$a$N9)IW$G$9!#$=$&$$(J $@$&9)IW$r$9$k$H!"7k9=$A$c$s$HJ#AG2r@O$J$s$+$OE83+$G$-$F!":4F#D64X?tO@(J$@$J(J $@$s$+$b$G$-$k$h$&$G$9!#6l$7$/$F$b$=$NJU$+$i2?$+LLGr$$1~MQ$,=P$F$/$l$P!"(J $@$d$k0UL#$O$"$k$G$7$g$&$1$I$M(J$@!#(J $@$?$@!"IaDL$NBe?t$r$d$m$&$H$9$k$H!"<B$K6l$7$$$H;W$$$^$9!#$J$s$?$C$F!"(J $@Be?t3X$N4pK\DjM}$,>ZL@$G$-(J$@$J$$(J $@$N$G$9$+$i!#(J(Bishop $@N.$G$O$b$A$m$s>ZL@$G$-$^$9$N$G$_$J$5$^$40B?4$r!#$@$C(J $@$F!"Be?tJ}Dx<0$r2r$/%"(J$@%k%4%j%:%`$O$A$c$s$HB8:_$9$k$N$@$+$i!#(J) $@<B:]!"(JV^(\Omega) $@%b%G%k$G$OI,$:$7$bBe?t3X$N4pK\DjM}$,@.N)$7$^(J$@$;$s!#$3(J $@$N$3$H$O!"Nc$NC]Fb@h@8$NK\$N(J118$@%Z!<%8$K=P$F$$$^$9!#(J $@$H$$$&$o$1$G!"(JIZF $@$H$$$&$N$O!"$+$J$jJQ$J(J$@$b$N$G$9!#<B$O!"(JIZF $@$H$$$&$N$O!"(J $@9=@.E*?t3X$N8&5f$NCf$G$O!"$+$J$jFC<l$JOCBj$KB0$7$^$9!#(JIZF $@$O!">ZL@O@(J$@E*(J $@$J6/$5$@$1$O$d$?$i$a$C$?$i$K6/$$$/$;$K(J(ZF$@$HF1$86/$5(J)$@!"9=@.E*?t3X$G0lHL(J $@$K$O9-$/G'$a$i$l$F$$$k(J principle $@$G$"$k(J($@FC$K6/$$(J principle $@$G$O$J$$(J)$@2D(J $@;;A*Br8xM}$H$+0MB8A*Br8xM}$,;H$($J$$$H$$$&!"$+$J$j$$$S$D$J(J$@M}O@$G$9!#$b(J $@$A$m$s!"$3$l$i$rIU$12C$($F$b$$$$$s$G$9$,!"IU$12C$($k$H:#EY$O!"C]Fb@h@8(J $@$NK\$K=P$F$$$k$h$&(J$@$J!"?'!9$J<BMMBN$dJ#MMBN$,B8:_$9$k$3$H$rMxMQ$7$?1~MQ(J $@$O0l@Z$G$-$J$/$J$C$F$7$^$$$^$9!#$H$$$&$N$O!"2D;;(J$@A*Br8xM}$rG'$a$k$H!"(J Dedekind real $@$H(J Cauchy real $@$,F17?$K$J$C$F$7$^$&$+$i$G$9!#(J $@$;$C$+$/!"C]Fb@h@8$N(J$@K\$NOC$r$7$F$-$?$N$K$:$C$3$1$5$;$F0-$$$N$G$9$,!"$"(J $@$NK\$G8l$i$l$F$$$k$3$H$O!"9=@.E*?t3X$NCf$G$O!"$-$o(J$@$a$FFC<l$JOCBj$J$s$G(J $@$9!#$=$b$=$b!"!VD>4Q<g5AE*=89gO@!W$J$s$F%?%$%H%k$K$J$C$F$^$9$,!"$b$C$H(J $@9=@.E*?t3X(J$@$N9M$(J}$K9g$&$H9M$($i$l$k$h$&$J=89g$NM}O@$,?'!9Ds0F$5$l$F$$(J $@$^$9$7!#$@$+$i!"$"$NK\$rFI$s$G!"!VD>4Q<g(J$@5AE*$J=89g$N35G0$H$$$&$N$O$3$&(J $@$$$&$b$N$J$N$+!W$H;W$C$?$j!"$3$N4V$+$i$N$3$N(J fj.sci.math $@$G=P$F$-$?OC(J $@$rFI$s$G$-$??M$,!"!V9=@.E*?t3X$C$F$J$s$+0[MM$J$3$H$r$d$C$F$k$J!W$H$+(J $@!V$J$s$+IBE*$JOC$P$C$+$j$@$J!W$H(J$@$+;W$o$l$k$H:$$k$J$"!"$H;d$O;W$C$F$$$k(J $@$N$G$9!#<B:]$K9=@.E*?t3X$G8&5f$5$l$F$$$k$3$H$NBgH>$O$A$C$H$bIB(J$@E*$G$O$J(J $@$/$F!"$H$F$b<+A3$JOC$G$9!#(J |$@!t$G$b$=$&$9$k$H!V%M%,%F%#%V$J$3$H!W$7$+2r$i$J$$!"!"!"(J $@%M%,%F(J$@%#%V$J$3$H$C$F$I$&$$$&$3$H$r;X$7$F$$$k$N$G$9$+(J? -- $@N6C+Bg3XM}9)3XIt?tM}>pJs3X2J(J $@>.NS(J $@Ao(J satoshi@whale.ryukoku.ac.jp 0775-43-7523($@3X2J;vL3<<(J) 0775-43-7528($@8&5f<<(J) 0775-43-7524(FAX)
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<SATOSHI.92Nov27174818@whale.ryukoku.ac.jp>Path:
arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!wnoc-kyo!kuis!rins!satoshiReferences:
<ISHIHARA.92Oct30100417@is15e0s10.jaist-east.ac.jp> <1992Oct31.052546.28018@kudpc.kyoto-u.ac.jp> <RYU.92Nov2131119@sysipk.sys.titech.ac.jp> <1992Nov2.074326.17262@kudpc.kyoto-u.ac.jp> <RYU.92Nov4105137@sysipk.sys.titech.ac.jp> <ISHIHARA.92Nov5101428@Show Full Headers
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,c4930c4d3907c0b2 X-Google-Attributes: gidf4956,public X-Google-ArrivalTime: 1992-11-27 03:10:29 PST Path: arc1-ca.pugleaf.net!sparky!uunet!stanford.edu!sun-barr!sh.wide!wnoc-kyo!kuis!rins!satoshi From: satoshi@whale.ryukoku.ac.jp (Satoshi Kobayashi) Newsgroups: fj.sci.math Subject: Re: Q in intutionistic math. Message-ID: <SATOSHI.92Nov27174818@whale.ryukoku.ac.jp> Date: 27 Nov 92 08:48:18 GMT References: <ISHIHARA.92Oct30100417@is15e0s10.jaist-east.ac.jp> <1992Oct31.052546.28018@kudpc.kyoto-u.ac.jp> <RYU.92Nov2131119@sysipk.sys.titech.ac.jp> <1992Nov2.074326.17262@kudpc.kyoto-u.ac.jp> <RYU.92Nov4105137@sysipk.sys.titech.ac.jp> <ISHIHARA.92Nov5101428@ Sender: news@rins.ryukoku.ac.jp Organization: Ryukoku Univ., Seta, Japan Lines: 89 In-reply-to: ryu@sys.titech.ac.jp's message of 26 Nov 92 00:05:36 GMT