1. ## Measuring A Point

It is a known fact that a point cannot be measured. My question: WHY is this the case?

2. ## Re: Measuring A Point

https://en.wikipedia.org/wiki/Point_(geometry)

3. ## Re: Measuring A Point

Originally Posted by DenisB

https://en.wikipedia.org/wiki/Point_(geometry)
I know all about internet searching for such questions. I am looking for an easy reply that is not too mathematical.

4. ## Re: Measuring A Point

What do you mean by "measure"? What property of the point do you want to measure?

5. ## Re: Measuring A Point

I think of a point in some space as an entity that has only a location. It has no size or surface area, etc.

6. ## Re: Measuring A Point

Originally Posted by HallsofIvy
What do you mean by "measure"? What property of the point do you want to measure?
I'm talking about a point in Euclidean geometry.

7. ## Re: Measuring A Point

Originally Posted by MarkFL
I think of a point in some space as an entity that has only a location. It has no size or surface area, etc.
A point as we learn about in Euclidean geometry.

8. ## Re: Measuring A Point

Originally Posted by harpazo
I'm talking about a point in Euclidean geometry.
Yes, I understood that. Now answer my question: what property of a point is it that you want to measure?

9. ## Re: Measuring A Point

C'mon Halls, dontyaknow that:
Size of a point is directly related to how well your pencil is sharpened !

10. ## Re: Measuring A Point

Originally Posted by DenisB
C'mon Halls, dontyaknow that:
Size of a point is directly related to how well your pencil is sharpened !
I am going to whack you with a pointy stick!

11. ## Re: Measuring A Point

Originally Posted by HallsofIvy
I am going to whack you with a pointy stick!

12. ## Re: Measuring A Point

Originally Posted by HallsofIvy
I am going to whack you with a pointy stick!
How about 50 lashings with a wet textbook?

-Dan

13. ## Re: Measuring A Point

i'd like to point out that this discussion is pointless. No point at all. Do you get my point?

14. ## Re: Measuring A Point

Originally Posted by harpazo
It is a known fact that a point cannot be measured. My question: WHY is this the case?
Primitive Notion
Axiom

Please compose a definition of a point that includes how to measure what it is you want to measure. Then, see how it fits into Euclidean Geometry. Failing that, build your own geometry and see if it leads to anything interesting or useful.

15. ## Re: Measuring A Point

Moving on....

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