Quote:
The number of addendum between the bracket is infinite it is not just a long number, while the result is 1 , it is not just something between 0 and 1 , it is 1 (one)
Modern maths treats infinite same as an ordinary number
That's exactly what I've said actually, but perhaps I simply drew the wrong conclusion. I do understand that if all those numbers are added that it will come close to 1.
Anyways, here an image to show what I mean:
Still it bothers me that it wíll reach the full 100% when added, that doesn't make much sense if the next number, eventhough infinite, will always be half of the last one. Even when an infinite sequence, the numbers will always be divided by two each time. Why would it still reach the full 100%?
There are plenty of formulas that come close to 0 with a nice curve but will never reach it, even if it goes on forever simply because of the nature of the formula (divides the next number by two for example). Honestly I don't see why this Zeno problem is any different from that,
Cheers
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