Wacky infinites headache

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Originally Posted by Raistlin

Say you're 50 feet away from a door. You move halfway towards it, you're at 25 feet. Then 12.5 feet, etc. Eventually you'll be around .5 feet, then .25 feet, then .125 feet, etc. If you keep moving halfway, do you ever reach the door?

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Yes; reach out, turn the the knob and continue on through.

mosquito elasticity is overrated...

Isn't this what transfinite numbers are about? I don't remember the details, only references to 'closed infinity' and 'open infinity'. It's still an infinite number either way, i.e. it's utterly endless, but a 'closed' definition of infinity is "all numbers between x and y" where an 'open' infinite value is simply "all numbers".

Something like that, there are people who can understand and explain this infinitely better than me.

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Originally Posted by Big D

Isn't this what transfinite numbers are about? I don't remember the details, only references to 'closed infinity' and 'open infinity'. It's still an infinite number either way, i.e. it's utterly endless, but a 'closed' definition of infinity is "all numbers between x and y" where an 'open' infinite value is simply "all numbers".

Something like that, there are people who can understand and explain this infinitely better than me.

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Laypeople explain things better than non-laypeople.

Not saying anything about you per se, but you used a layperson explanation when I could not possibly do so.

Quote:

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Originally Posted by Big D

Something like that, there are people who can understand and explain this infinitely better than me.

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Boooo! :p