MDMAlliance said:
Nothing in this thread is a math proof. However, .9 repeating only represents 1 as applied to the real world due to the fact that .9 repeating does not exist as a number. "Existing" doesn't come into it. It represents the same object as 1. It's the same thing as not being able to use infinity as a number in your equation, because it isn't. Infinities are treated very differently in pure maths. They can be used correctly if you know what you're doing. Also, if we say an object cannot get any bigger than a certain size and no smaller than a certain size, 1/3 will not actually equal .3 repeating infinitely. It would go to a point where it actually ends. You're still imagining real "things" which must have a finite extent. Something going on infinitely in that representation doesn't automatically disqualify it. I mean, with maths you can take apart a sphere and reassemble it into two spheres of equal size with no logical contradiction. It's physically impossible but perfectly correct. |
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