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you are actually missing a lot of numbers in between each step because of the step size (half of each old step size), so isn't it not infinite and therefore not every number between those two points? The finite number 1 in this case simply means 0 to 1 and the infinite amount of numbers in between, but what if you're skipping a lot of those infinite numbers? Isn't it smaller than the 'other' infinite?
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
I skipped the numbers in_between because this is the Zeno's paradox
You must grasp the key concept
The series of infinite numbers can be divided into two classes : converging and diverging
The former tend to a finite number the latter to infinite
You can re_formulate this paradox whatever you want but you will alwayes get a converging series of infinite numbers which tend to d/v
Last edited by AlbertoT; 09/15/07 14:11.
