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Originally Posted by kutulu
It doesn't matter if it is infinitely small or infinitely large, it still isn't equal to zero. It's like if you have to move an object 1 foot. You start by moving it half a foot. Then 1/4 ft, then 1/8 ft..... You will never move it the full 1ft, even if there is no way to measure the distance between the object and the 1ft barrier, there is still distance to be covered.
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From a physics perspective, you're never really touching anything, because no object has a clearly defined boundary on the atomic level. For all intents and practical purposes though, .9r equals one. The properties of numbers don't always transfer directly to the properties of physical dimensions. You can't disprove a logic based mathematical proof using physical dimensions.