0.999....=1

[palou]

JRPGfan said:

palou said:

Don't see what's supposed to be so mindboggling about the concept, seems trivial enough...

The thing is 0.99  is differnt than 1.

you use a 0 and a 9, when you write 0.9999999999 ect,

but you use a 1 when you write 1.

 

thus 0.999999 infinity out, shouldnt be the same as 1.

In a perfect world where you could go infinity out, and see infinity they shouldnt be the same.

This proof shows that they are the same.

Dispite you writeing them differntly.   0.999 = 1.

As said, this shows a bad comprehension of the concept of infinity. A brief resume of Hilbert's Hotel: https://www.youtube.com/watch?v=faQBrAQ87l4

The concept of infinity also implies that no matter which coma place you take, there is still an infinity of coma places to follow. You never actually come closer to the end, however you may transform your current coma number (in normal mathematical operations). You constantly stay at 0% progress towards reaching infinity.

Beyond that, the equality