The Definition of Points
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From: Tony Lance on 17 Mar 2007 14:14 Big Bertha Thing redoubt Cosmic Ray Series Possible Real World System Constructs http://web.onetel.com/~tonylance/redoubt.html Access page to 600K ZIP file Astrophysics net ring access site Newsgroup Reviews including sci.physics.particle Postings potentially suitable for;- 1. SRF Classical Astronomy 2. SRF Classical Mathematics 3. SRF Classical Physics 4. SRF Classical Chemistry After 15 months, an armistice term has just been fullfilled.(2nd Battle) Student research project conferences, by invitation only, now available. Battles without cost are not battles. I have just had the following shot out from under me:- 1. www.bertha.ndirect.co.uk (disabled) 2. Paid UK ISP Net Direct. (15 months) 3. Professional newsgroup SP Dejanews.com (3 months) To the victor the spoils. See my new newsgroup review section, complete with copyright. Big Bertha Thing memoriam Tony died raising his best friends family, His wife needed two helpers, his poor heart and him. Carer, postman, welder and domino player. RAF aircraft fitter at Battle of Britain and El Alamain. Outboxed a voortrecker at middleweight. Raised trade union branch president and National officer of voluntary .org Taught me to keep the faith, Mend my bicycle and trigonometry. His story is ended, but not yet finished. Tony Lance judemarie(a)bigberthathing.co.uk From: Tony Lance <judemarie(a)bigberthathing.co.uk> Newsgroups: swnet.sci.astro,sci.chem Subject: Re: Big Bertha Thing strategic Date: Sat, 10 Feb 2007 13:31:03 +0000 So what was the FBI doing, when I was doing their job for them, on all the following dates? These are illegal corporate american two-way mailboxes, used to attack newsgroup user mailboxes. This case is fully documented, on the link to strategic, as given below. 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From: Hero on 17 Mar 2007 14:23 On 17 Mrz., 18:49, Bob Kolker <nowh...(a)nowhere.com> wrote: > SucMucPaProlij wrote: > >>You can develop geometry based purely on real numbers and sets. You need not > >>assume any geometrical notions to do the thing. One of the triumphs of > >>mathematics in the modern era was to make geometry the child of analysis. > > > And it means that lines, planes and points are defined in geometry. > > Make up your mind, Bob! > > Not true. One of the mathematical systems which satisfy Hilbert's Axioms > for plane geometry is RxR , where R is the real number set. Points are > ordered pairs of real numbers. Not a scintilla of geometry there. > Left and right are geometrical concepts. When You write down ( 3, 4 ) 3 is left in Your view and 4 is right. With friendly greetings Hero
From: VK on 17 Mar 2007 14:29 On Mar 16, 2:26 am, Lester Zick <dontbot...(a)nowhere.net> wrote: > >> I believe Lester is asking whether a line is a composite object or an > >> atomic primitive. > > >That is one of things and the most easy one. I believe I already gave > >the answer but not sure that he will ever accept it > > Oh I accept it all right. I just don't understand it. So you don't understand that a abstraction - having no exact equivalence in the perceived world - may be defined in different ways? Let me ask a question then if you don't mind. Given a few definition of the abstraction in question: 1) a point is what doesn't have sides 2) a point is n intersection of two lines 3) a point is to ti en einai of infinity .... n) a point is a reversed infinity where between 3 and n feel free to place whatever is missing in any amount. So given this set of definitions: would you agree that only one definition is possibly true among all given ones? Would you agree that for any abstraction among all possible definitions there is one and only one which is correct? So the task is not to define an abstraction in a custom and possibly erroneous way - but the task it to find that pre-existing true definition among all possible ones? Three questions in total but really only one as promised, just making myself as clear as possible. It is also not a rhetoric question with a "proper" answer implied, I'm really asking you: yes or no?
From: Lester Zick on 17 Mar 2007 14:47 On Sat, 17 Mar 2007 17:47:49 +0100, "SucMucPaProlij" <mrjohnpauldike2006(a)hotmail.com> wrote: >> Intuitive notions are useful guides for finding logical proofs, but they have >> not probatory or logical standing. >> > >Can you define a difference between intuitive point and real apple? >How matematikers handle reality? Geometric figures are boundaries not physical entitities. They're more like shadows than physical things (an anology, shudder!!!). Physical or material things behave according to f=ma etc. Geometric figures interact and behave according to laws of the calculus, derivation, and integration. No mystery here. They're both real and both exist. ~v~~
From: Lester Zick on 17 Mar 2007 14:48
On Sat, 17 Mar 2007 11:00:04 -0600, "nonsense(a)unsettled.com" <nonsense(a)unsettled.com> wrote: >SucMucPaProlij wrote: > > >> Can you define a difference between intuitive point and real apple? >> How matematikers handle reality? > >Sometimes even a troll asks a good question. > >A point and an apple are self defining. We only >get to report about them. > >Please refer to Clinton's comment about the meaning >of "is". Good question, bad answer. ~v~~ |