I know its looked down upon to revive old threads, but we just did this today in math, so i thought i'd bring up my now EDUCATED opinions
now, for the people who said it WASN'T equal, than you are admitting its impossible to move. You are also therefore admitting i am capable of beating ANY athlete in the world at any race, no matter the length, as long as i have a head start of ANY distance, regardless of the length of the race. I'll explain both of those in a second in a second.
now for the people who said it WAS equal, congratulations, your right, for a number of points that you already posted, also because if this, Between ANY two numbers, there has to be a number in between, If you can find me a number between .9 repeating and 1, well....go have a conversation with steven hawkings.
Now, for the impossibility of motion theory, think of it this way:
you want to run this length:
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but to run that length, you'd have to run half that:
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and then half that:
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and then half that:
----
and then half that:
--
and then half that:
-
and then half that, and half that, and half that, and half taht, now, this is VERY similar to .9 repeating, well, actually if you take an infinate number of steps, you are at .9 repeating, and if this was not equal to 1, well you'd have a hard time getting where you want to go.
now about that race between me and top atletes, take Donaven Baily for example, championship runner for Canada a few years ago, now, me being a fairly bad runner, is, say, 10x slower than him. Now consider this, if i have a 100 metre head start:
in the time he runs the one hundred metres, i would run ten metres, now in the time that he ran the next ten metres, i'd run one metre, in the time that he ran that one metre, i'd be .1 metres ahead of him, in the time that he had run that .1 metres, i'd be .01 metres ahead, so therefore he can never reach me. I'd be glad to take anyone one of you on a bet that i cannot beat Donaven....really....i need the cash
but, ya, there you have two solid proofs that .99999999999999999999999999999 repeating = 1