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The Evil Mathmagician
Aug. 13th, 2002 08:19 amFor those who love math.
For those who hate math.
For those who are unsure what math is.
Did you know that 0.9999999.. on into infinity is equal to 1? No, I don't believe it, either. Or I didn't. Then I saw someone say this:
If x = 0.9999999.., then 10x = 9.9999999.., and (10x - x) = 9. Therefore, 9x = 9 or x = 1.
Weird. But further oddity can be found in this:
Take the set of natural numbers (1, 2, 3, 4..), and then create two other sets, the first by multiplying all natural numbers by two, and the second by crossing out every-other number, starting with 1. The first set clearly has the same number of elements as the set of natural numbers, while the second clearly has only half that number - but both sets are the same (that is, 2, 4, 6, 8...)
The mind boggles.
These two mathmatical oddities come curtacy of PostVixen, and in particularly from Growf. He also mentioned something about the Transfinite, but I haven't looked at that, yet.
For those who hate math.
For those who are unsure what math is.
Did you know that 0.9999999.. on into infinity is equal to 1? No, I don't believe it, either. Or I didn't. Then I saw someone say this:
If x = 0.9999999.., then 10x = 9.9999999.., and (10x - x) = 9. Therefore, 9x = 9 or x = 1.
Weird. But further oddity can be found in this:
Take the set of natural numbers (1, 2, 3, 4..), and then create two other sets, the first by multiplying all natural numbers by two, and the second by crossing out every-other number, starting with 1. The first set clearly has the same number of elements as the set of natural numbers, while the second clearly has only half that number - but both sets are the same (that is, 2, 4, 6, 8...)
The mind boggles.
These two mathmatical oddities come curtacy of PostVixen, and in particularly from Growf. He also mentioned something about the Transfinite, but I haven't looked at that, yet.
