Zero divided by zero.

  1. Please bear with me. This is my first post.

    I've put together quickly, with the best logic I could fathom, a solution to the infamous 0/0.

    Does 0/0 = 1 and 0 at the same time with respect to 0?

    By taking zero and dividing it by zero, you acknowledge that there is, in fact, the 'presence' of more than one zero. So "a zero" divided by "a zero" is also "a zero" no?
    So zero isn't actually 'just plain' zero so much as it is... a zero. A single zero. One zero. Get it?

    0/0 = 0

    But 0 = (1*0)

    Hence there are no ones, there is one zero.

    1*0 obviously equals zero but... there is 'a'... zero. Presence.

    Could someone aid me with my recent confusion/is this question more for a psychology/philosophy/theoretical physics themed site?
  2. jcsd
  3. HallsofIvy

    HallsofIvy 40,310
    Staff Emeritus
    Science Advisor

    I see no "mathematics" or "pschology/philosophy/theoretical physics in what you wrote, just a lot of confusion mixed with as little "mysticism" when you talk about "zero isn't actually 'just plain' zero so much as it is... a zero. A single zero. One zero". Or was that just a pun on the different meanings of "one" in English.

    I hope you see that a calculation cannot be "0 and 1 at the same time". 0/0, as a single calculation simply doesn't have a value. There are a number of different limits that, if you were to ignore basic rules of limits, would appear to give "0/0" but in fact can give many different limits: [itex]\lim_{x\to 0} x^2/x= 0[/itex], [itex]\lim_{x\to 0} x/x= 1[/itex], [itex]\lim_{x\to 0} ax/x= a[/itex] for any a.
  4. Mark44

    Staff: Mentor

    The short answer is that you can't divide by zero. Period.

    You have a lot of confusion about zero. Perhaps this post will be helpful:

    Owing to the lack of actual mathematics in your post, I am locking this thread.
  5. Fredrik

    Fredrik 10,202
    Staff Emeritus
    Science Advisor
    Gold Member

    No, there's only one. The way to see this is to consider what happens if there are two zeros, let's call them 0 and 0'. We would have 0'=0'·0=0. So the two zeros are the same.

    Not at all.
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