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Topic: Visual Presentation of Real Number System
Replies: 61   Last Post: Dec 11, 2013 11:12 PM

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 Robert Hansen Posts: 11,345 From: Florida Registered: 6/22/09
Re: Visual Presentation of Real Number System
Posted: Nov 25, 2013 9:28 AM

On Nov 24, 2013, at 10:50 PM, Joe Niederberger <niederberger@comcast.net> wrote:

>> From a rather naive perspective, it seems that arrows >visually
>> differentiate between segments, rays and lines.
>> I'm more interested in how one might draw a rational (or >irrational)
>> number 'line'. (as distinct from the Real counterparts.)
>>
>> Gary Tupper
>> Terrace BC

>
> It depends on context.
>
> Cheers,
> Joe N

In general, I think he is asking for a physical model[1] of rational (or irrational) numbers. Specifically, something like a line.

[1] Physical model - A physical object or drawing whereby there is an explicit mapping between elements of the theory and physical measures of the object or drawing, such as quantity, length, height, etc.

A troublesome (impossible) task given the nature of these sets. At a deeper level, probably similar to the fact that we cannot make certain constructions with compass and straightedge.

It is a very good question though, and an example of how much math exists that we cannot "see".

Bob Hansen

Date Subject Author
11/21/13 Jerry P. Becker
11/21/13 Dave L. Renfro
11/21/13 Gary Tupper
11/25/13 Gary Tupper
11/25/13 Robert Hansen
11/25/13 Gary Tupper
11/25/13 Robert Hansen
11/25/13 Robert Hansen
11/25/13 Joe Niederberger
11/21/13 Robert Hansen
11/24/13 Joe Niederberger
11/25/13 Robert Hansen
11/25/13 Joe Niederberger
11/25/13 Joe Niederberger
11/25/13 Robert Hansen
11/25/13 Joe Niederberger
11/25/13 Robert Hansen
11/25/13 Robert Hansen
11/25/13 Robert Hansen
11/26/13 Joe Niederberger
11/26/13 Robert Hansen
11/26/13 Robert Hansen
11/26/13 Robert Hansen
11/26/13 Robert Hansen
11/26/13 Joe Niederberger
11/26/13 Louis Talman
11/26/13 Joe Niederberger
11/26/13 Robert Hansen
11/26/13 Joe Niederberger
11/26/13 Robert Hansen
11/26/13 Joe Niederberger
11/26/13 Gary Tupper
11/26/13 Robert Hansen
11/26/13 Joe Niederberger
11/26/13 Robert Hansen
11/26/13 Joe Niederberger
11/26/13 Joe Niederberger
11/26/13 Joe Niederberger
11/27/13 Joe Niederberger
11/27/13 Robert Hansen
11/27/13 Joe Niederberger
11/27/13 Robert Hansen
11/27/13 Joe Niederberger
11/27/13 Robert Hansen
11/27/13 Joe Niederberger
11/28/13 Robert Hansen
11/27/13 Joe Niederberger
11/28/13 Joe Niederberger
11/28/13 GS Chandy
11/28/13 Joe Niederberger
11/29/13 Robert Hansen
11/28/13 Joe Niederberger
11/29/13 GS Chandy
11/29/13 Joe Niederberger
11/29/13 Joe Niederberger
11/29/13 Robert Hansen
11/29/13 Joe Niederberger
12/4/13 GS Chandy
12/4/13 Joe Niederberger
12/11/13 Joe Niederberger
12/11/13 Robert Hansen
12/11/13 GS Chandy