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November 10th, 2017, 03:02 AM   #1
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The Biggest Number

Is there a notation for the Biggest Number that exist? If not, why?
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November 10th, 2017, 03:07 AM   #2
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No, because there is NO "biggest number that exist". Given anything that purported to be the "biggest number" adding 1 gives an even bigger.
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November 10th, 2017, 03:09 AM   #3
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The biggest number is $\displaystyle B=\underbrace{99999....9}_{\infty}$
-Funny-
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November 10th, 2017, 03:27 AM   #4
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Yes it exist in $\overline{\mathbb{R}}$, it's $+\infty$
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November 10th, 2017, 03:27 AM   #5
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Now you know that there is no largest number, ask yourself this


is -100 larger than or smaller than +10?
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November 10th, 2017, 03:40 AM   #6
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Notation

What is the notation of R with line above it?
Thank for answering.
I still not understood "Why there isn't a notation for the biggest number that exist"? So, If it didn't exist, is there a proof not by adding one to the biggest number that I found but another proof.
I want to see another proof.
Thank you If You give an ANOTHER Example....
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November 22nd, 2017, 05:23 PM   #7
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Quote:
Originally Posted by shaharhada View Post
What is the notation of R with line above it?
It means the set of real numbers.
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November 22nd, 2017, 05:34 PM   #8
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Quote:
Originally Posted by EvanJ View Post
It means the set of real numbers.
I think the R-bar notation is for the extended real number system, which includes symbols for positive and negative infinity. I don't think that's the standard notation. Perhaps that poster means the topological closure of the reals. In that case the intention is clear but the notation's inaccurate or at least nonstandard.
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November 22nd, 2017, 05:39 PM   #9
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I think he's referring to $\bar{ \mathbb R}$ which is the extended real numbers.

We know that $2$ exists and that $2 > 1$, so if a largest number $L$ exists, it must satisfy $L \ge 2$. Thus $L^2$, which exists because the reals are closed under multiplication, satisfies $L^2 \ge 2L > L$. This contradicts the assumption that $L$ is the largest number.
$\square$
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November 22nd, 2017, 10:49 PM   #10
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Sorry,`

But I don't understand a thing in the last post. Please, someone will write it in a simple English.
Thank you!!!
You are welcome!!!! [If you answer to this post and to my request.]
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