Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Replies: 40   Last Post: Jan 4, 2018 7:37 AM

 Messages: [ Previous | Next ]
 zelos.malum@gmail.com Posts: 1,176 Registered: 9/18/17
Re: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Posted: Dec 30, 2017 3:41 AM

>It can be "proved" by refusing logics only.

Not at all, it is from logic we deduce it.

>Every sober mind with minimum intellectual capacities knows and can prove that your claim is wrong. Simply assume logic:

Give it a go.

>For all n in |N: 0.999...9_n =/= 1. This is true for every n.

Correct, every finite number of 9's makes it an inequality.

>The infinite sequence does not contain more than every index.

That is exactly what it does, the infinite 9s is more than any finite number of 9's

Good try though, maybe study some more mathematics!

>Again provable by refusing to apply logic only.

No it comes from logic itself, the issue is that you are assuming things that is not true.

>Show a summand of the infinite sum that does not belong to a finite sum!
Whatcha mean exactly?