Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!watmath!clyde!burl!hou3c!hocda!houxm!ihnp4!inuxc!pur-ee!uiucdcs!liberte From: liberte@uiucdcs.UUCP (liberte ) Newsgroups: net.math Subject: Re: i**i, foundations and philosophy - (nf) Message-ID: <6029@uiucdcs.UUCP> Date: Mon, 5-Mar-84 22:27:57 EST Article-I.D.: uiucdcs.6029 Posted: Mon Mar 5 22:27:57 1984 Date-Received: Wed, 7-Mar-84 05:10:36 EST Lines: 18 #R:houem:-23000:uiucdcs:28200031:000:744 uiucdcs!liberte Mar 5 21:46:00 1984 There is more to it than quaternions. Charles Muses has come up with (what he claims is) a complete hierarchy of "Hypernumbers" of which the complex and quaternion numbers are only on the first two levels. I know very little about this myself, but can give references. All the hypernumbers can be represented as n-dimensional arrays, but it turns out to be simpler to deal with them as abstract symbols with certain algebraic properties. What are they good for? I'm sure alot, once we develop the physics to need them. After all, complex numbers (not quite accepted because of their imaginary stigma) are still finding new applications in electronics and optics. We know so little about the world. Keep an open mind. Daniel LaLiberte