"Paul Lutus" <nospam@nosite.zzz> wrote in message news://M%FN7.154151$qx2.9634809@bin5.nnrp.aus1.giganews.com... > "The Scarlet Manuka" <sacha@maths.uwa.edu.au> wrote in message > news://9u77gf$hs5$1@fang.dsto.defence.gov.au... > > > > That is not the subject. The subject is whether infinity is a member of > > > the number system that permits ordinary arithmetic operations. Read the > > > thread, don't drift it. > > > > The answer to that question is that it is a member of some such > > systems, but not all of them. There is no One True Number System. > > True and irrelevant. Read it again! Read it until it sinks in: > > That is not the subject. The subject is whether infinity is a member of the > number system that permits ordinary arithmetic operations. Read the thread, > don't drift it.
Your question is not well defined, because "the number system that permits ordinary arithmetic operations" is not well defined. There are several different number systems that permit the ordinary arithmetic operations. Furthermore, some of them contain infinity and others do not. Thus your question does not have a meaningful answer.
Does that explain it in sufficient detail for you to understand, or should I try to reduce it to words of at most two syllables?
