Re: Largest numbers are Fun!
- From: gjedwards@xxxxxxxxx
- Date: 8 Jun 2006 05:40:33 -0700
Phew, the happy ending was a relief.
John Jones wrote:
Friendly and Fun:
Largest numbers are friendly and fun. What is a largest number? I will
tell show you with an example. The largest number in this application
is 6 - one, two, three, four, five, six. Wasn't that easy?
One Fun thing and One Interesting thing:
First, we will remember that Largest numbers occur only in their
particular applications - like the one above! The next fun thing to
note is that we cannot count a Largest number in, or out, of its
application. So, we cannot say, 'there is one largest number in this
application'. Why is this? This is another fun thing about largest
numbers: If we count a largest number in an application then we are
using another application. However, and this bit is interesting, if we
step outside of the application where the largest number lives, and
start a new application so that we can count this largest number, then
all we end up counting is a numeral. Why is this? - I will tell you.
It is because a number is only a number in its application. That bit
was a little hard, but was certainly interesting and fun.
An Interesting thing and an Exciting thing:
If you have read the fun and interesting things above, then we can sum
them up (with number's permission, of course!) into an exciting new
thing about Largest numbers: Here it is: Largest numbers cannot be
counted! There. I think that is very interesting and exciting. Don't
you? But look! There is another interesting thing that Largest numbers
do: if we cannot count Largest numbers, then Largest numbers don't live
in collections, sets, groups, or families. Well, would you believe it?
I certainly did not when I started writing this.
A Sad thing, a Happy ending and an Interesting thing:
But now I am sad. I don't know where Largest numbers live. I am sad
because I think they do not have a home and have no friends. Why it
seems they just appear and disappear, according to their
applications... but wait.. a clue! Of course! Largest numbers live 'in
their apllications' Yes, of course! This means that we have yet
another interesting thing, but this time it's not about Largest numbers
but about applications. What can it be.. It seems that 'applications'
are completely independent of collections, sets, groups, and families.
Well.. I think we shall come back to that one at another time. Don't
you?
More Things?
Are there any other games that we can play with Largest numbers? I am
sure there are many, and I can't wait to try! But first, I must post
these fun and interesting things about Largest numbers, because I am so
excited! So! Here they are!
.
- References:
- Largest numbers are Fun!
- From: John Jones
- Largest numbers are Fun!
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