The Definition of Points
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From: Lester Zick on 17 Mar 2007 14:51 On Sat, 17 Mar 2007 13:52:02 -0400, Bob Kolker <nowhere(a)nowhere.com> wrote: >nonsense(a)unsettled.com wrote: >> >> Sometimes even a troll asks a good question. >> >> A point and an apple are self defining. We only >> get to report about them. > >Apples are defined by ostention. One points to an apple and says >"apple". That is how babies learn what basic words mean. Not true, Bob. Babies certainly learn words by ostention, but what the words refer to is defined by the way it behaves and the properties inherent in it. Mathematical objects behave one way and physical or material objects another. They're both real; they're just different. >Many of the basic worlds we use are defined by pointing to objects and >attaching the word to the object. Logical definitions occur at a higher >level of abstraction. > >Bob Kolker ~v~~
From: Lester Zick on 17 Mar 2007 14:51 On Sat, 17 Mar 2007 13:47:21 -0400, Bob Kolker <nowhere(a)nowhere.com> wrote: >SucMucPaProlij wrote: >> >> >> Can you define a difference between intuitive point and real apple? >> How matematikers handle reality? > >You can make apple sauce from an apple. You can't make point fritters. Nor can you make shadow fritters. ~v~~
From: Bob Kolker on 17 Mar 2007 15:00 Hero wrote: > > Left and right are geometrical concepts. > When You write down ( 3, 4 ) 3 is left in Your view and 4 is right. 'scuse me. That could be first and second which are temporaal concepts. The Left and Right refer to printing or writing conventions, not to something intrinsically geometric. Bob Kolker
From: Lester Zick on 17 Mar 2007 15:01 On 17 Mar 2007 11:09:55 -0700, "Hero" <Hero.van.Jindelt(a)gmx.de> wrote: > Bob Kolker wrote: >> SucMucPaProlij wrote: >> >> > And I agree but can you tell me does point exist? >> > How do you explain it? >> >> Point is an idea or a notion. It has no physical existence. Neither does >> the integer 1. >> >> Point is a place holder for an intuition about space. Nothing more. >> Along with line, plane and a few other place holders they constitute the >> undefined terms of geometry. Intuitive notions are useful guides for >> finding logical proofs, but they have not probatory or logical standing. >> > >Referring to .." they have not probatory...standing". >This associates: If You want to put down a glass onto a table and You >are holding it's base a bit skew it might get a standing, but being >pushed by someone at this moment it might tumble - and this has to do >with it's point of gravity. In other words for a glass to have probative value it can't be probitive. >With friendly greetings >Hero >PS. I just wonder, if a point relates to the word "pointing"? I'm convinced the phrase "pointing out" is definitely related to "point". You can easily enough "point out" an irrational on a straight line using rac construction but you can't "point out" a transcendental on a straight line at all. ~v~~
From: Bob Kolker on 17 Mar 2007 15:01
Lester Zick wrote: > > Geometric figures are boundaries not physical entitities. They're more How is the interior of a sphere a boundry? Bob Kolker |