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  1. Path: sparky!uunet!stanford.edu!sun-barr!sh.wide!wnoc-kyo!rinsgw!rins!satoshi
  2. From: satoshi@whale.math.ryukoku.ac.jp (Satoshi Kobayashi)
  3. Newsgroups: fj.sci.math
  4. Subject: Re: Topos (Re: Q in int. math.)
  5. Message-ID: <SATOSHI.92Dec22174011@whale.math.ryukoku.ac.jp>
  6. Date: 22 Dec 92 08:40:11 GMT
  7. References: <544@keu02.rtri.or.jp>
  8.     <KUROKI.92Dec19063911@tsuru.math.tohoku.ac.jp>
  9.     <162@john.hamaint.snet.or.jp>
  10.     <MIYOSHI.92Dec22014028@gala.slab.sfc.keio.ac.jp>
  11. Sender: news@rins.ryukoku.ac.jp
  12. Distribution: fj
  13. Organization: Ryukoku Univ., Seta, Otsu, Japan
  14. Lines: 69
  15. In-reply-to: miyoshi@slab.sfc.keio.ac.jp's message of 21 Dec 92 16:40:28 GMT
  16.  
  17. $@>.NS(J@$@N6C+Bg3X$G$9!#(J
  18.  
  19. In article <MIYOSHI.92Dec22014028@gala.slab.sfc.keio.ac.jp> miyoshi@slab.sfc.keio.ac.jp (Hiroyuki Miyoshi) writes:
  20.  
  21.  |$@7DXfBg3X$N;09%$G$9!%(J
  22.  |$@G/Kv$GK;$7(J$@$$$N$G$D$$=P$F$-$F$7$^$$$^$7$?!%(J
  23.  
  24. :-)
  25.  
  26.  | >topos$@$NDj5A$N:]$K=P$F$/$k(JUnivers$@$N8xM}$O!"8xM}O@E*$K$O$I$&(J$@$$$&(J
  27.  | >$@0LCV$E$1$K$"$k$N$G$7$g$&$+!)(J
  28.  | >$@$:$C$H5$$K$J$C$F$$$?$N$G$9$1$l$I!"!VL5L7=b@-!W$H$+$OK\Ev$KJ](J$@>Z$5$l$F(J
  29.  | >$@$$$k$N$G$7$g$&$+!)(J
  30.  |
  31.  |$@$"$l$O(JZFC$@$r1[$($F(Jinaccessible cardinal$@$N(Jproper class$@$NB8:_$r2>Dj(J$@$7$F$$(J
  32.  
  33. inaccessible cardinal$@$N(Jproper class $@$H$$$&8@$$J}$OJQ$J$N$G$O$J$$$G$9$+(J?
  34. inaccessible cardinal $@$O(J set $@$N$O$:$G$9$1$I!#$b$N$9$4$/Bg$-$J(J *set* $@$,(J
  35. $@B8:_$9$k!"$H$$$&;v$,=EMW$J$o$1$G$9$+$i!#(J
  36.  
  37. # inaccessible cardinal $@$N8xM}$,$I$s$J$b$N$+!"CN$j$?$$?M!"$$$^$9(J? $@$$$?(J
  38. # $@$i=q$$$F$b$$$$$N$G$9$,!#(J
  39.  
  40.  |$@$^$9!%$7$+(J$@$73HD%$H$7$F$O%^%$%k%I$J$b$N$N$h$&$G!$5U$K$=$N$?$a$K(JFrance$@$G(J
  41.  
  42. $@5pBg4p?t$N8xM}$H8F$P$l$k$h$&$J0lO"$N8xM}(J$@$NCf$G$O:G$b%^%$%k%I$J$b$N$G$9(J
  43. $@$M!#=89gO@$r$d$C$F$$$k?MC#$NFb$N$+$J$jB?$/$N?M$O!"(Jinaccessible
  44. cardinal $@$NB8:_$/$i$$$OG'$a$F$b$$$$$s$8$c$J$$$+!"$H9M$($F$$$k$h$&$K;W(J
  45. $@$$$^$9!#3d$H<+A3$J8xM}$G$9$+$i!#(J
  46.  
  47.  |$@$O(Jinaccessible cardinal$@$,%]%T%e%i!<$K$J$C$?$H$$$&$3$H$G$9!%$3$l$r4^$`(J
  48.  
  49. $@$X$(!<!"$=$&$$$&$$$-$5$D$OCN$j$^(J$@$;$s$G$7$?!#(J
  50.  
  51.  |$@M}O@$N!JAjBPE*!KL5L7=b@-$K$D$$$F$N5DO@$O>\$7$$J}$K$*G$$;$9$k$H$7$F(J
  52.  |$@!J(JZFC$@$,L5L7=b$G$"(J$@$l$P(JCon(ZFC) -> Con(ZFC+inacessible cardinal$@$NB8:_(J)$@$,(J
  53.  |$@M-8B$K$O8@$($J$$$3$H$OIT40A4@-DjM}$+$i=P$F$-$^(J$@$9!K!$$3$NJU$j$N7wO@$H=8(J
  54.  
  55. $@$($(!"(Jinaccessible cardinal $@$,$"$k$H!"(JZFC $@$N%b%G%k$,:n$l$F$7$^$$$^$9$+(J
  56. $@$i$M(J$@!#(J
  57.  
  58. $@$=$l$K$7$F$b!"Be?t4v2?$N$h$&$JIaDL$N?t3X$N$?$a$K!"K\Ev$K$=$s$J$KBg$-$J(J 
  59. universe $@$,I,MW$J$N$+$J$"(J$@!#$b$C$H>.$5$$$N$G==J,$8$c$J$$$+!"$H$$$&5$$,(J
  60. $@$9$k$1$l$I!#(J
  61.  
  62. $@;d$O!"Be?t4v2?$OCN$i$J$$$7!"(JSGA4 $@$bFI$s$@$3(J$@$H$,$J$/!"%0%m%?%s%G%#%C%/(J
  63. $@$N(J universe $@$O!":XF#@5I'@h@8$NK\(J($@$[$s$H$O!V$5$$!W$N;z$O$b$C$HFq$7$$;z(J
  64. $@$_$?(J$@$$$G$9$,(J)$@!VD6@Q$HD6=`2r@O!W$N:G=i$N$[$&$G?($l$i$l$F$$$?$N$G$A$g$C(J
  65. $@$H8+$?$3$H$,$"$k$@$1$J$N$G$9$,!"$3$N(J$@K\$NDj5A$K$h$l$P!"%0%m%?%s%G%#%C%/(J
  66. $@$N(J universe $@$N8xM}$O!"$3$NK\$GD6=`2r@O$rE83+$9$k$N$KMQ$$$F$$$k(J 
  67. universe $@$N8xM}$h$j$b$:$C$H6/$$$G$9$M!#$3$N<e$$$[$&$N8xM}$G$bD6=`2r@O(J
  68. $@$NOC$r$9$k$N$KBgBN==J,$H9M$($F$3$N(J$@K\$O=q$+$l$F$$$k$N$K!#(J
  69.  
  70. U $@$,(J universe $@$K$J$k$?$a$N>r7o$H$7$F!"%0%m%?%s%G%#%C%/$N$@$H!"(JJ $@$,(J U 
  71. $@$KB0$9$k(J$@E:;z=89g$H$7$F!"(J{X_j | j in J} $@$,(J U $@$KB0$9$k=89g$+$i$J$k=89gB2(J
  72. $@$J$i!"(JUnion_{j in J}X_i $@$b(J U $@$KB0$9$k!"(J$@$H$$$&$N$,$"$j$^$9!#$3$l$O6/$$(J
  73. $@8xM}$@$H;W$&$N$@$1$l$I!"?t3X$G(J union $@$r9M$($k;~$O!"3F!9$N=89g(J X_i $@$O85(J$@!9(J
  74. $@2?$+$"$k0l$D$N=89g(J X $@$NItJ,=89g$K$J$C$F$$$k$N$,IaDL$@$+$i!"(Junion $@$r:n$C(J
  75. $@$F$b$"$^$jBg$-$J=89g$O=P$F(J$@$3$J$$$H;W$&$s$G$9$,!#(J
  76.  
  77. $@$"$H!"2>$KBg$-$J(J universe $@$,K\Ev$KI,MW$J$N$@$H$7$F$b!"$=$l$,(J set $@$K$J(J
  78. $@$i$J$1$l(J$@$P:$$k$s$G$7$g$&$+!#$D$^$j!"(Juniverse $@$O%0%m%?%s%G%#%C%/$,9M$((J
  79. $@$?$h$&$JL\E*$N$?$a$K$O(J proper class $@$8$c(J$@$J$/$F(J set $@$K$J$i$J$$$H$$$1$J(J
  80. $@$$$s$G$7$g$&$+$M$(!#(J
  81. --
  82.             $@N6C+Bg3XM}9)3XIt?tM}>pJs3X2J(J    $@>.NS(J  $@Ao(J
  83.             satoshi@whale.ryukoku.ac.jp
  84.             0775-43-7523($@3X2J;vL3<<(J) 0775-43-7528($@8&5f<<(J)
  85.             0775-43-7524(FAX)
  86.