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Old 04-09-2008, 07:16   #1
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how can I move from here to there?

If you divide any length/number in half:
One inch divided by two is 1/2".
1/2" divided by two (half) is 1/4",
1/4" divided by two (half) is 1/8".
1/8" divided by two is 1/16".
1/16" divided by two is 1/32".
1/32" divided by two is 1/64"...... etc.
You can never come out without a number or distance that cannot be measured or divided again.
Any distance is infinite!
How can you ever come up with a length or number that cannot be divided in half?
Any distance or number is infinite.

It is therefore impossible for anyone to move from here to there.
To move from here to there is an infinite distance.

Please explain it to me
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Old 04-09-2008, 07:25   #2
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I'l explain this way:

There was a sales person and an engineer competing for a job. They were each posed the same problem -

You are at a dance and the boys are on one side of the room and the girls are on the other. You are lined up with an amazingly beautiful girl and when you touch you can have her.

Each time the song stops you can move 1/2 the distance to the girl.

How long until you can have her?

The engineer being brilliant and always requiring himself to have the precise correct answer said, "It's impossible. I will never have the girl."

The sales guy said, "When I get within 6 inches I'm close enough."
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Old 04-09-2008, 07:30   #3
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I wish I was a "sales guy".

That is why they get all the girls.
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Old 04-09-2008, 07:38   #4
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I like engineer jokes:

How about this one:

An engineering student was walking on campus and his engineering student friend rode up on a bicycle.

The first engineering student asked, "Hey. Where did you get that bike?"

The second engineering student replied, "Well this beautiful cheerleader came riding up on this bike. She jumped off the bike and let it fall to the ground. She pulled off all her clothes and threw them on the ground. She spread her arms out and said, 'You can have anything you want'"

The first student replied, "Great choice on the bike. The clothes probably wouldn't have fit you anyway."
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Old 04-09-2008, 07:59   #5
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Perhaps it is similar to this:
All finite numbers are the sum of two other numbers.
The sum of two even numbers is alway an even number.
The sum of two odd numbers is always an even number.
The sum of an odd and even number is always an odd number.
So taking any two numbers at random, there is a 2/3 chance the sum will be even.
Therefore 2/3 of all numbers are even leaving 1/3 of all numbers being odd.
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Old 04-09-2008, 08:55   #6
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This is what comes of confusing the ideal world of mathematics with the real world. In fact, the numbers in the real world -- the ones the engineers and the rest of us deal with -- aren't infinitely divisible, if only because at some point there's no way to measure the difference.

Consider it this way:

I want to walk a mile. My pace has a certain minimum length -- that is, I can't take a pace that's 1/100,000 of an inch. In fact, my minimum step is probably on the order of an inch -- more a shuffle than a step.

Now subdivide the mile. at some point the subdivisions are smaller than my minimum pace and hey presto! those I can cover easily.

Zeno's paradoxes are lots of fun, but they're pretty much just word games.

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Old 05-09-2008, 17:10   #7
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Infinite intervals, infinite moves...

There are, of course, an infinite number of intervals between any two points.

Luckily, we can make an infinite number of moves in going between them.
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