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December 6th, 2017, 06:48 AM   #1
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The biggest constant

What is the biggest constant [except the radius of the universe or diameter of it]?
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Last edited by shaharhada; December 6th, 2017 at 06:51 AM.
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December 6th, 2017, 07:53 AM   #2
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Opps, I think I made the biggest mistake of Einstein, right?!
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December 6th, 2017, 08:32 AM   #3
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I think you are writing cheques that you are ill-equipped to cash.
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December 6th, 2017, 08:34 AM   #4
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I think you are writing cheques that you are ill-equipped to cash.
A political refugee from Prague was denied asylum at the American embassy. They told him No Czechs Cached!
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December 6th, 2017, 01:21 PM   #5
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Lengths (and many other things) are measured in units (inches, meters, parsecs, etc.) so the radius of the universe has a number in each of these units - not unique.
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December 6th, 2017, 01:36 PM   #6
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We already had this conversation if we are talking about real numbers: there is no largest one.
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December 6th, 2017, 04:39 PM   #7
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So, I can a link, please...
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December 6th, 2017, 05:41 PM   #8
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Originally Posted by shaharhada View Post
So, I can a link, please...
Suppose $x$ is a real number. Then $x + 1$ is a real number, since the addition of two real numbers is a real number.

We know that $0$ and $1$ are real numbers, and that $0 < 1$.

Now adding $x$ to both sides shows that $x < x + 1$. Therefore $x$ could not have been the largest real number.

Since $x$ was arbitrary, meaning that it could be any real number whatsoever, we conclude that there is no largest real number.

On the other hand, a digital computer does have a largest real number. No matter what encoding scheme you use to represent real numbers, can only represent finitely many. All the computers in the world together can only represent finitely many real numbers. Perhaps you are thinking of that.

Last edited by Maschke; December 6th, 2017 at 06:06 PM.
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