A friend of mine brought this up, as it is a debate going on right now in the worlds of science and math. Basically, the argument is that a decimal fallowed by an infinite number of nines is actually equal to One.
But this is all well and good for the world of Math. But science has proven a different logic, were they are not equal. My favorite example is that in science, one plus one is approximately two, due to the impurities of one. This expression basically is stating that having two halves put back together does not make it whole again.
So in my argument, I argue that if 0.999... is equal to 1, then 1 is equal to 2. I shall demonstrate using the same logic. I shall refer to an infinite amount of numbers using "..."
But 0 does not equal 0.0001 and .999 does not equal one. That's what I need you to explain. If you asked me what the Definition of Documentation is, then I wouldn't say, "a document".
So 1.000 rounds to 1.001? I'm asking them to explain their theories, if you want simplicity, I suggest searching for it elsewhere, where there is no discussion about 0, and infinity.
.00000001 does not equal 0 because the zero's never repeat forever. Some time, the zeros have to stop to insert the 1. But .999999 repeating (the nines repeat forever) does equal 1.
Lol, sorry, when I was doing my algebra and found this concept of proving numbers with infinite decimals to be rational numbers, I thought of this thread...that's not too weird, is it? :P
Of course not I was doing something similar the other day but couldn;t find this thread... actually I was putting slinkies down the up escalator but ut it all comes to infinity eh.
If you have 0.99999999999999999999 and so forth, then it would be much easier to just say one. NOW: I would agree with 1=2 if one wasnt just one. More like, 1.9999999999999.
But .999999 repeating (the nines repeat forever) does equal 1.
The two reasons contradict each other. If the "endless" chains of 9 repeat forever, how can it all of a sudden turn into a whole number?
And that part about 9/9 = .9999999 = 1 is false. 8/9 is true, though. If you want to divide nine 9 times, then you have 1 group. Simple as that, and no infinite 9's were involved.
It's like the gap between 3/10 and 4/10. 3 / 10 = .333 repeating, while 4/10 is just .4, because adding a 0 to the 4 makes 40 / 10, and that makes 4. Just use MS Calc. So between 8/9 and 9/9 is a significant decimal jump that decides the whole number factor. The difference between 8/9 and 9/9 is .11, so between the two numbers, the number is increased by .11, turning the number into a whole number. The decimals are an uneven integer. That's as simple as it can get.
Rofl thats ridiculous. 1/3 is equal to 0.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 ongoing forever.
0.33 being 1/3 is an approximation
The 1 = 2 makes no sense at all, rofl. Because 0.0000000000000002/0.0000000000001 is 2 then 1 = 2?
The world of math has been shown to have many inconsistencies. This particular problem is merely an artifact of our system of writing numbers. But it has been proven that there is no way to formally and completely axiomatize mathematics. The incompleteness of arithmetic is far more troubling than a simple limit function concept.
