Newsgroups: sci.physics,sci.math,alt.religion.kibology Path: news.cinenet.net!tor-nx1.netcom.ca!beaker.tor.sfl.net!news.rdc1.on.wave.home.com!newshub2.home.com!newshub1.home.com!news.home.com!Supernews60!supernews.com!uunet!in2.uu.net!world!kibo From: kibo@world.std.com (James "Kibo" Parry) Subject: Re: A NONSTANDARD REAL NUMBER AS A GRAPH OF A FUNCTION Sender: news@world.std.com (Mr Usenet Himself) Message-ID: X-Hello-To: Archimedes Plutonium Date: Fri, 26 Jun 1998 07:21:50 GMT X-Battlestar-Galactica-Date: 4721 centons, 63 microns, .02 rouettes References: <6mv7bk$rm9$1@news.iastate.edu> NNTP-Posting-Host: ppp0a011.std.com Organization: welcome datacomp X-Newsreader: MT-NewsWatcher 2.4.4 Followup-To: alt.religion.kibology Lines: 88 Xref: news.cinenet.net sci.physics:134855 sci.math:99792 alt.religion.kibology:66713 X-Cache: nntpcache 1.0.6 (see ftp://suburbia.net/pub/nntpcache) Alexander Abian (abian@iastate.edu) wrote: > > The following is an explanation of the notion of "Nonstandard Real Numbers" > and their arithmetic intended to TOUCH YOU EMOTIONALLY. Hey, your math is touching me where my bathing suit covers! I'm telling a teacher or grown-up! RAPE! RAPE! ALEXANDER ABIAN IS RAPING ME MATHEMATICALLY! > On the xy-plane let us represent a standard real number r by the > horizontal line y = r which is the graph of the function y = f(x) = r. > In fact we may DEFINE a standard real number r as the graph of a constant > function y = f(x) = r. If, as expected, we define the arithmetic > operations among the constant functions POINTWISE, we will recover > the entire usual standard arithmetic. "My specially-shaped head makes me smart," said Dr. Abian POINTWISELY. > So why not define a NONSTANDARD real number as the graph of a function > [doo doot doot, doo doot doot] > sometimes below it ? The difficulty can be alleviated if we judiciously > introduce the notion of "VERY OFTEN" (as synonym for "ALWAYS") > [dee yadda dadda dadda, dee dah doot doot] > number but greater than zero.And we can touch an "infinitesimal" by touching > the graph of e^-x!! and the infinitesimal becomes a concrete item. > [dee doot doot doobie doobie doot doot] > > So the chief problem is the judicious definition of "VERY OFTEN" which > will preserve some desirable properties of order . This is done in > the literature by variety of ways : by the introduction of an auxiliary > logical apparatus via Ultrafilters and Ultraproducts or by the > introduction of some Measuretheoretic or Statistical machinery. I'm adding you to the Usenet Global Ultrafilter right now. You will have to pay TEN DOLLARS TO THE NEWSNET FUND TO GET OUT! > I posted above as a very sketchy exposition as my answer to at > least 10 inquiries about what are NONSTANDARD real numbers and the > ensuing arithmetic. I have no time to go thru the rigorous details. > > P.S. you can define also a nonstandard real number as the surface > of a function z = f(x,y) and introduce arithmetic operations > coordinatewise and CHOOSE JUDICIOUSLY A MACHINERY TO HANDLE > ORDER, EQUALITY etc. Sorry to sop here and for possible typos - > I am late for an appointment!!! I'm sure your psychiatrist will appreciate it when you show up while sopping. That's why he has that vinyl cover on his couch. You know, the SPECIAL vinyl cover with the sleeves that buckle behind your back. -- K. Making Fun Of Special Scientists Since 1989 /// re-run /// re-run /// re-run /// re-run /// re-run /// re-run /// re-run /// > From: kibo@world.std.com (James "Kibo" Parry) > Subject: Re: TIME HAS INERTIA. EQUIVALENCE OF TIME AND MASS > Newsgroups: sci.math, alt.religion.kibology, alt.usenet.kooks > Organization: HappyNet Headquarters > Date: Mon, 25 Jul 1994 23:22:14 GMT > > In sci.math, Alexander Abian (abian@iastate.edu) wrote: > > > > I will donate $100 to the newsnet fund if Mr. Simon De Dua will > > produce a text written by Isaac Newton in which Newton explicitly says: > > " Time is mass " > > or "Time has inertia", or "There is an equivalence of time and mass" or > > "Time is a mass reacting to a specific provocation" > > > > Moreover, I will donate $500 to the newsnet fund if Mr. Simon De Dua will > > produce a text written by Isaac Newton where he explicitly mentions > > 1/T + 1/log M = 1 with positive T, M < 1 Abian > > with M = 1 Abian at T = 0 (Abian) > > > > (maybe Newton was so clever that he would have predicted my existence > > and the unit 1 Abian). > > I will donate 500 Abians to the newsnet b-board notesfile chat area fund > if Sir Isaac Newton will produce a roll of cherry Pez. I haven't had > them since childhood and they don't seem to be made any longer, but if > Sir Ike would give me some, I'd donate LOTS OF ABIANS TO EVERYTHING. > > -- K. > (We need more Abians.)