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Thread: Measuring A Point

  1. #1
    Super Member harpazo's Avatar
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    Measuring A Point

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

    Please use Google for such questions; you'll get full explanations like:

    https://en.wikipedia.org/wiki/Point_(geometry)
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    Super Member harpazo's Avatar
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    Re: Measuring A Point

    Quote Originally Posted by DenisB View Post
    Please use Google for such questions; you'll get full explanations like:

    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.
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    Re: Measuring A Point

    What do you mean by "measure"? What property of the point do you want to measure?
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    MHF Contributor MarkFL's Avatar
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    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.
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    Super Member harpazo's Avatar
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    Re: Measuring A Point

    Quote Originally Posted by HallsofIvy View Post
    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.
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    Super Member harpazo's Avatar
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    Re: Measuring A Point

    Quote Originally Posted by MarkFL View Post
    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.
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    Re: Measuring A Point

    Quote Originally Posted by harpazo View Post
    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?
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    Re: Measuring A Point

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

    Quote Originally Posted by DenisB View Post
    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!
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    Re: Measuring A Point

    Quote Originally Posted by HallsofIvy View Post
    I am going to whack you with a pointy stick!
    Ok ok...you've made your point...
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    Forum Admin topsquark's Avatar
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    Re: Measuring A Point

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

    -Dan
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    Member Walagaster's Avatar
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    Re: Measuring A Point

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

    Quote Originally Posted by harpazo View Post
    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.
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  15. #15
    Super Member harpazo's Avatar
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    Re: Measuring A Point

    Moving on....
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