Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site brl-vgr.ARPA Path: utzoo!watmath!clyde!burl!ulysses!unc!mcnc!decvax!ittvax!dcdwest!sdcsvax!sdcrdcf!hplabs!hao!seismo!brl-tgr!brl-vgr!gwyn From: gwyn@brl-vgr.UUCP Newsgroups: net.math Subject: Re: Interesting Numbers Message-ID: <1517@brl-vgr.ARPA> Date: Mon, 7-May-84 17:49:02 EDT Article-I.D.: brl-vgr.1517 Posted: Mon May 7 17:49:02 1984 Date-Received: Fri, 11-May-84 07:24:22 EDT References: <1279@uvacs.UUCP> Organization: Ballistics Research Lab Lines: 8 I posted an elaboration on my claim that the "proof" that there are no uninteresting numbers is invalid. The main point is that the "proof" is equivalent to a well-known "paradox" (antinomy really) in mathematical logic and is due to sloppy use of set theory. The resolution of the antinomy has been attempted through everything from the "Theory of Types" to basing set theory on categories instead. This is a deeper issue than it at first appears to be. -- gwyn@brl-vld.ARPA