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Math Help - how do we know where a number begins or ends?

  1. #1
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    how do we know where a number begins or ends?

    this is an example of what i am talking about:


    0----------1----------2---------3 these lines represent 1+1=2

    by looking at numbers represented by lines it appears that 1+1 actually ends past 2 and at three. I know that 1+1=2 when we think of numbers as being a whole like two apples, but in reality when the second apple is added havent we completed two and reached three? I guess you could even contend that the apple is at its greatest amount in the middle and recedes as the apple is "completed".
    Basically what I am asking is how is the beginning or end of a number decided on. The line i made and connected is something i just decided on but could obviously be different if someone else drew the lines of any length.

    Am I making any sense or does this sound REALLY dumb?
    ty
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  2. #2
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    Quote Originally Posted by lime View Post
    Am I making any sense or does this sound REALLY dumb?
    It sounds really dumb.



    (I have absolutely no idea what you are talking about, I wish I did).
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  3. #3
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    Quote Originally Posted by lime View Post
    this is an example of what i am talking about:


    0----------1----------2---------3 these lines represent 1+1=2

    by looking at numbers represented by lines it appears that 1+1 actually ends past 2 and at three. I know that 1+1=2 when we think of numbers as being a whole like two apples, but in reality when the second apple is added havent we completed two and reached three? I guess you could even contend that the apple is at its greatest amount in the middle and recedes as the apple is "completed".
    Basically what I am asking is how is the beginning or end of a number decided on. The line i made and connected is something i just decided on but could obviously be different if someone else drew the lines of any length.

    Am I making any sense or does this sound REALLY dumb?
    ty
    You have 1 dollar.

    Someone gives you another dollar.

    You now have 2 dollars.

    Although the idea have haveing an infinite amount of money when someone gives you a buck is nice, it doesn't really work.

    BTW they are not lines, they are segments and segments do not continue on...
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    well, thanks i had a feeling id get creamed for that question.

    but where on you dollar did it equal one? at one edge or do you have to move across to the opposite edge? and, going left to right, if the left edge is the start of one doesn't the right edge mean that one is over? and what is in between one and two, by your reasoning one and two dollars are separate. is there a grand canyon between one and two?

    okay so im dumb!
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  5. #5
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    Quote Originally Posted by lime View Post
    this is an example of what i am talking about:


    0----------1----------2---------3 these lines represent 1+1=2

    by looking at numbers represented by lines it appears that 1+1 actually ends past 2 and at three. I know that 1+1=2 when we think of numbers as being a whole like two apples, but in reality when the second apple is added havent we completed two and reached three? I guess you could even contend that the apple is at its greatest amount in the middle and recedes as the apple is "completed".
    Basically what I am asking is how is the beginning or end of a number decided on. The line i made and connected is something i just decided on but could obviously be different if someone else drew the lines of any length.

    Am I making any sense or does this sound REALLY dumb?
    ty
    1. No you are not really making any sense.

    2. The number line when used with integers is just a device to demonstrate
    some of the properties of numbers, it is in no way a definition of them.
    The definition of intergers is usualy based on the idea of collections of
    discrete objects (like apples), and placing these collections into one-to-one
    relations with other collections.

    3. Think of it this way if I am selling apples at $1 each and you bring me two
    apples would you be happy if I charged you $3?

    RonL
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  6. #6
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    Quote Originally Posted by lime View Post
    well, thanks i had a feeling id get creamed for that question.

    but where on you dollar did it equal one? at one edge or do you have to move across to the opposite edge? and, going left to right, if the left edge is the start of one doesn't the right edge mean that one is over? and what is in between one and two, by your reasoning one and two dollars are separate. is there a grand canyon between one and two?
    When dealing with integers yes there is a grand canyon between one and
    two. If you were talking about other kinds of numbers no there is not a gap
    between 1 and 2 it is filled with fractions, or the real numbers depending
    on what system we are working in.

    But integers are used to enumerate discrete objects, and they only come
    in discrete lumps and are not considered divisible as far as the integers are
    concerned.

    RonL

    (remember in maths if you are finding a concept difficult to understand then
    you are thinking about it in the wrong way - find a better way and it will
    seem simple)
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  7. #7
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    Quote Originally Posted by ImPerfectHacker View Post
    It sounds really dumb.



    (I have absolutely no idea what you are talking about, I wish I did).
    This is the Math Help Forum. The poster is confused about something and
    it is our job to try to help them. Your post does not do that, and its net result
    may be that lime goes away with a worse impressions of maths and maths-heads
    than they had before.

    Now it may turn out that lime is a troll, but you have to give them the
    chance to prove that, not just assume it.

    In many cases where a question is confused it is correct to ask for
    clarification because it is obvious that the poster has a question that they
    are summarising incompletely or confusingly, but not here it is the poster
    who is confused and needs help.

    In this case it would be better if you had nothing constructive to say that
    you had remained silent.

    RonL

    There are no dumb question
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  8. #8
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    This seems like something for the "philosophy" section, even though it really isn't
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    The only stupid question there is is the one that remains unasked.

    That's my motto.

    -Dan
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  10. #10
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    Quote Originally Posted by CaptainBlack View Post

    There are no dumb question

    The purpose of my post was to say I cannot understand the question. But because the user added "was this dumb..." I took advantage of that against himself.
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