Here we go...
Spidey wrote:You roll a die an infinite number of times…and it always comes up “4”, although this is highly unlikely, it is possible under the rules here. (infinite possibilities) but this now precludes the possibility of any other combinations of cool sequences, such as 1,2,3,4,5,6...again and again. (so one possibility rules out the others)
You're mixing possibilities and results.
Yes, results rule out possibilities; if you get a
result of "all 4s", all other possibilities are gone.
However, possibilities don't rule out possibilities; the
possibility of "all 4s" does not rule out any of the others.
Spidey wrote:Here are two statements that are true…
You drop a ball, in order for it to reach the floor it must first travel half the distance, then travel the other half.
You drop a ball, in order to reach the ground it must first travel half the distance, then it must travel half the remaining distance, so on and so on…never reaching the ground.
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Does the ball ever reach the floor, in real life, or does it continue its journey downward, for eternity, traveling ever smaller distances? (that we cannot percieve)
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which draws the conclusion that any given point in space is infinitely distant from any other point.
Hehe, you're struggling with a form of one of [url=
http://en.wikipedia.org/wiki/Zeno's_paradoxes]"Zeno's Paradoxes"[/quote].
A little Calculus (really, just a little work with an infinite limit) shows that the ball does indeed reach the ground, and in the time you'd expect.
The issue we have with feeling like the ball would never hit the ground is a mental limitation, because we have difficulty visualizing the limit of an infinite operation without getting sort of 'bogged down' along the way.
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A lot of people struggle with these; I highly suggest taking a course in calculus, and maybe a little work in set algebra. Really clears up some of the common misconceptions.