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Date Posted:03/25/04 12:55pm In reply to:
Damoclese
's message, "Cause" on 03/24/04 3:07pm
>>What doesn't follow mathematically that the
>>distance is finite? The fact that the distance is
>>finite?
>
>No. The fact that in order to traverse a distance, one
>must first travel an infinite space.
That does not logically follow. The distance could be finite, thereby not requiring one to travel an infinite space.
>>Well, if we use a potentially infinite number of
>>subdivisions, but I'm talking about the distance being
>>traversed period. If it's finite (say, 8 meters),
>>then I see know reason why it can't be traversed,
>>considering the
>
>Well, the problem is that a finite distance like eight
>doesn't strictly exist in this problem. The infinite
>distance traversed would converge on eight (read draw
>nearer and nearer) but never actually reach eight.
But if we don't travel that way (i.e. each step we halve our distance) we don't necessarily never cross it. If we travel an infinite number of such distance intervals with each step, then the above need not apply.
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