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November 15th, 2015, 10:38 PM   #21
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It's evidently infinite. If it were finite, that would mean there were only, say, n positive integers, which would make n+1 a bit hard to explain!
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November 16th, 2015, 12:54 AM   #22
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Most mathematicians prefer indeterminate to undefined. The reason we say that $\dfrac{0}{0}$ is indeterminate is because it can be "equal" to any real number. You'll need some understanding of limits if you want a thorough explanation.

There are plenty of indeterminate values in maths: $\dfrac{x}{0}$ (for any x), $\infty - \infty$ and $\dfrac{\infty}{\infty}$ are some of them. Strangely, $1^\infty$ is also an indeterminate form.
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November 16th, 2015, 02:07 PM   #23
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OK,

x/0 = indeterminate
1^infinity = indeterminate
infinity - infinity = indeterminate
infinity / infinity = indeterminate

So

x/0 = 1^infinity = infinity - infinity = infinity / infinity
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November 16th, 2015, 09:14 PM   #24
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No. "Indeterminate" is not a number, so all those equals signs you used are wrong.
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November 17th, 2015, 02:52 AM   #25
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x/x=1

0/0=1
0/0=0 Given x/x=1 you can not have both 0/0=1 and 0/0=0.
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November 17th, 2015, 03:46 AM   #26
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$x/0$ is only indeterminate for $x=0$. For all other values of $x$ it is undefined.
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November 17th, 2015, 03:49 AM   #27
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You should note that language is neither fixed nor precise - unlike mathematics which both (barring new discoveries). There is thus no 1-to-1 mapping between the two.
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