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Obviously I ma talking in principle ,in practice if you try to cover a certain distance using the Zeno's method you will actually take a long time , if not an infinite time, but this has nothing to do with the paradox itself
This is where you lost me. That's exactly the prove I had in mind about why these particular infinites are not finite when all added together.
On the other hand I now do understand why in theory it must be finite, after all you're talking about áll numbers in between two numbers which all together make up the difference between those numbers, not less and not more. The numbers in between are infinite in amount, so if added up altogether they must be finite. BUT in this paradox each subsequent number is half of the last, so even when infinite, it can never consist of every number inbetween and thus can not become a finite number.
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you have t = d/v( 1/2 + 1/4 + 1/8 + 1/16 + ....)
The number of addendum between the brakets is infinite, nevertheless their sum is : 1
You're 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?
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Is universe a reality or just a dream ?
Ever had a dream inside a dream waking up in your dream but not in reality just yet? Or ever had a serious déjà vu?
Pure theoretically the question is about another possibility.
Problems with all this, and that's where most people stop thinking about this, are our definitions of 'real', 'reality' and 'dream'. It's the good all Matrix movie question "how do you know something is real?". Well, actually we don't know, but by definition it must be... I think there's plenty of room for philosophers to seriously think about this, question reality and so on. The thing about philosophy is that some parts of it are rather hard to prove once you've made up your mind about something like 'reality', you'll either need to prove it somehow or convince people...
Cheers
