Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 exptools 1/6/84; site ihuxq.UUCP Path: utzoo!linus!decvax!harpo!ihnp4!ihuxq!amigo2 From: amigo2@ihuxq.UUCP (John Hobson) Newsgroups: net.math,net.philosophy Subject: Re: i**i, foundations and philosophy Message-ID: <683@ihuxq.UUCP> Date: Mon, 20-Feb-84 09:56:13 EST Article-I.D.: ihuxq.683 Posted: Mon Feb 20 09:56:13 1984 Date-Received: Tue, 21-Feb-84 04:08:10 EST References: <230@houem.UUCP>, <363@ihlts.UUCP> <1959@mcnc.UUCP> Organization: AT&T Bell Labs, Naperville, IL Lines: 12 Yes, there are numbers beyond complex numbers, they are called quaternions, that have the properties Q = a + bi + cj + dk where a, b, c, and d are any real numbers; i^2 = -1, j^2 = -1, k^2 = -1; i != j != k; and i, j, and k have relationships i * j = k, etc. The proper mapping of quaternions is to a four dimensional space. John Hobson AT&T Bell Labs Naperville, IL (312) 979-0193 ihnp4!ihuxq!amigo2