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Name: .999...9 =/= 1 2007-05-12 6:26 ID:/qcJW6wi

Assumptions
If A = B, then
a)  A-B = 0
b) A = (A+B)/2 = B

If A > B, then
a)  A-B > 0
b) A > (A+B)/2 > B


Let A = 1, B = .999...9
a) A-B = 1-.999...9 = .000...1 =/= 0
b) (A+B)/2 = (1+.999...9)/2 = 1.999...9/2 = 1.999...95 < A

Therefore, .999...9 =/= 1

Name: Anonymous 2007-05-12 11:46 ID:/+LKpq8R

11:15 Restate my assumptions:

1. Mathematics is the language of nature.

2. Everything around us can be represented and understood through numbers.

3. If you graph these numbers, patterns emerge. Therefore: There are patterns everywhere in nature.

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