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The Incredible Shrinking Space

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Posted by Randy Hunter on January 22, 2001 02:06:15 UTC

I'm going to try and make this multi-question as simple as possible.
If I drive my car in the direction of a brick wall 10 feet away, and continue along the path eventually my car will touch the brick wall. At some point along the path towards the wall there must be a "minimum distance before contact" at which if I move any closer towards the wall, I will hit it. How do we define that point. If the path were a number line 1-10, and 9 being the last point, how can I possible reach 10 (the brick wall) when there can be an infinite amount of numbers between 9 and 10, or in this example, an infinite amount of space between the wall and the car. How do we reduce empty space between the car and the wall to nothing and make contact.
Another example....... I'm going to use the empty space between the car and the wall and place a giant golf ball between them. If the golf ball started to reduce in size at a constant rate, would the golf ball eventually reduce itself to nothing? Or would it continue to reduce itself in size forever.

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