Newsgroups: alt.callahans
Date: Thu, 10 Dec 1992 23:51:11 -0500 
From: Mark Beirne Lively <ml5a+@andrew.cmu.edu>
Subject: Re: Pair-allel Universes
	<1g7lpnINNe53@GRIZZLY.ZOO.CS.YALE.EDU>

Excerpts from netnews.alt.callahans: 10-Dec-92 Re: Pair-allel Universes
Tony Lower@cs.yale.edu (1756)

>     AN INFINITE SET DOES _NOT_ NECESSARILY CONTAIN EVERYTHING!

>   "It's much easier to see with numbers.  The even numbers (those
> divisible by 2) form an infinite set.  According to the way SF
> writers deal with universes, we can therefore prove that every
> conceivable number is a member of that set, thus showing that
> 1,3,5, etc., are even.


	Yes that is correct that there are different sizes of infinity.  and
that the set of even numbers is just as big as the set of natural
numbers.  Which can be proven by maping the odd natural numbers to -n-1
and the even ones to themselves.  which is equal to the set of whole
numbers.(map each natural number to its self minus one.) Which is equal
to the set of integers. map 0 to 0 and the even numbers to one half of
themselves and the odds to (-n-1)/2  But the set or real numbers is
biggers since it consists of anything definded as a ratio of two
integers a and b where b <> 0  THis leads to an even larger infiniti. 
Then take a look at the set of irrationation numbers.  Imagine a non
repeating decimal between 0 and 1.  THere are clearly and infinite
number of them since by changing any digit it will probably not become
rational. In addtion any digit and thuswise be changed causing an
infinite number *10(for each possibilty of the digit or at least nine
but it doesn't matter cause 2 times infinity is the same so 9 times
infinity is also ifinity)  But now for each of these new irational
numbers you can change 2 digits. meaning that you have infinity times
infinity-1 or the number of real numbers.  now add on the possiblilty of
changing 3 digits or 4 or infinity minus 1 and each one will give you
Infinity factorial which is Really really big. adn can actually be
approximated with infinty raised to itself. which means an infinite
number of infinite possibilities. or what the possible number of worlds
is.  Pardon me but I think this is giving me a headache.

To my Mathalogical Mentor Donald Duck!*
<CRASH!!!>

	Donald duck did a movie, popular in public schools called Doanld Duck
in mathemagic land.  Sort of an Alice in Wonderland approach to
elementry adn not so elementry mathmatics.  A wonderful flick.

>   Manx looks down and gets a sudden case of acrophobia.  He clutches
> the suddenly teetering pile of boxes.  "Now HOW am I going to get
> down?"


	Easily.  Find the rate of creation of soapboxes over time.  devide the
number of soapboxes you are standing by the functionthe integral of this
function from time 0(big bang)  til time t  this represents how high you
are in relation to how high you could be.  let time go to infinity. 
take the limit.  Multiply byt the number of boxes actually in existance
and you'll find that you aren't actually standing on any.
	Bear smiles at his bit of Pseudologic as he stares manx straight in the
eye.  Manx then points down.  Bear does a silent gulp as he see's the
floor of callahans far below.

"Well it sounded good to me:)"

--
The writers are gifted.  The story has been lifted -Tiny Toons
Reality is a mild halucinogen and I think its starting to wear off.-Me
ML5A@andrew.cmu.edu Bear aka the Lord High Rulebender
Newsgroups: alt.callahans