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Topic: How does infinitesimal exist?
Replies: 21   Last Post: Jun 7, 2013 12:13 AM

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mathCurious

Posts: 9
Registered: 4/29/13
Re: How does infinitesimal exist?
Posted: Apr 29, 2013 9:38 PM
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I don't know if I should post this as a separate topic or if here is alright, but I have a different but related question about infinity:

If I can find one infinity of rationals between the points zero and one (so [0 , 1]), and I can also find one infinity of rationals between the points 1/2 and 3/4 (so [0.5 , 0.75]), if I were to infinitely divide these two intervals separately, then take the union of them, would this union have more, less, or the same number of points as the separately (infinitely) divided interval [0.5 , 0.75]?



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