From: satoshi@whale.math.ryukoku.ac.jp (Satoshi Kobayashi)
Newsgroups: fj.sci.math
Subject: Re: IZF (Re: Q in int. math.)
Date: 21 Dec 92 07:48:00 GMT
Distribution: fj
Organization: Ryukoku Univ., Seta, Otsu, Japan
In-reply-to: shingo@ipc02.rtri.or.jp's message of 15 Dec 92 08:46:17 GMT

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In article <SHINGO.92Dec15174617@ipc02.rtri.or.jp> shingo@ipc02.rtri.or.jp (Shingo MATSUMOTO) writes:

 |($@$b$C$H$b!"(JIZF$@$N$h$&$JBN7O$G$O(J$@!"(Jrealizability-interpretation$@$,$G$-$k$H$O(J
 |$@;d<+?H!"$O$8$a$+$i9M$($F$O$$$J$+$C$?$,!#$3$N$3$H$+$i$b!"(J$@C1$J$kGSCfN'$N5q(J
 |$@H]$H$$$&0UL#$ND>4Q<g5A$H!"9=@.E*$H$$$&35G0$O0[$J$k$b$N$H$$$($k$h$&$@!#(J)

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$@$3$H$O$G$-(J$@$F!"$=$l$r;H$C$F!"$"$kDxEY(J metamathematical $@$J7k2L$r=P$9$3$H(J
$@$O$G$-$^$9!#$?$@!"$"$k0UL#$G$O$"$^$j%Q%C(J$@$H$7$J$$(J interpretation $@$J$N$G(J
$@$9$,!#$/$o$7$/$O!"(JM.J.Beeson: Foundations of Constructive Mathematics 
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$@$7$J$$!"$H8@$C$?$N$G$9!#>>K\$5$s$,!V(Jrealizability interpretation $@$,$G(J
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$@$G$9$,!"(Jall X.A $@$d(J exists X.A $@$N2r<a$O!"(J
	e \r all X.A = all X.(e \r A)    $@!D!D(J(b')
	e \r exists X.A = exists X.(e \r A)       $@!D!D(J(d')
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f(Z) = f(X) $@$H$J$C$FL7=b!#$h$C$F!"(Jnot P.
(i),(ii)$@$h$j!"(Jnot P or not not P $@$,F3(J$@$1$^$7$?!#(J
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--
			$@N6C+Bg3XM}9)3X(J$@It?tM}>pJs3X2J(J    $@>.NS(J  $@Ao(J
			satoshi@whale.ryukoku.ac.jp
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