03-11-2009, 02:50 PM
I've been trying to stay away from this argument, but I can not anymore.
You can't compare the numbers 1 and .9999......
One is a rational # (1) and one is irrational (.99999)
It's like comparing an apple to a drawing of an apple.
Your basic argument is flawed, stating that .999... is irrational to prove it is not equal to 1, a rational number. If in fact it is equal to 1, which is what we state, then .999.. must be rational.
This is the crux of the entire thread, the idea is to prove it, not restate it.
You can't compare the numbers 1 and .9999......
One is a rational # (1) and one is irrational (.99999)
It's like comparing an apple to a drawing of an apple.
Your basic argument is flawed, stating that .999... is irrational to prove it is not equal to 1, a rational number. If in fact it is equal to 1, which is what we state, then .999.. must be rational.
This is the crux of the entire thread, the idea is to prove it, not restate it.