welcome to my imaginary Universe 
- where -
Anything divided by Nothing ..... equals Infinity
huh ?
well, that's actually not so imaginary as it may sound
you take 10,000 and divide by 10 - you get 1000 - easy
you take 10,000 and divide by 1000 - you get 10 - easy
so
say i have 10 Grand i wanna split up 10 ways
each gleeful recipient gathers 1000 barnacles
but
if i have 10 Grand i hafta split up 1000 ways
each curious onlooker hasta peel 10 bananas
hmm - sounds like a class action suit
so
the bigger the number you Divide by, the smaller yer answer
n the smaller the number you Divide by, the bigger yer answer
it's Division
beautiful thing, innit ?
Division n Multiplication are opposite sides of the same coin
we'll call this coin Relationships - it's all about proportions
"how many 10s in 10,000" or "how many 1000s in 10,000" - like that
but
the real fun stuff happens when ye turn it around on itself
and ask, "how many 10,000s in 1000" or "how many 1000s in 10"
n the answers are "one tenth, or .1" and "one hundredth or .01"
- respectively -
..... so, basically .....
the larger the number is you Divide BY
that is, the more equal sections you cut Something INTO
the more little pieces parts ye have floatin n flyin around out there
say
you wanna activate n demonstrate a simple fraction like 2/3
you have TWO apples you wanna divide up into THREE equal parts
well, at the end of it all
each equal portion is TWO Thirds the size of a single apple
one of em is actually TWO equal parts, ONE Third each
each the stray missing piece, from the other TWO
silly TWO
but
in the real world
you can't divide physical objects 
by a Lesser number than what you start with
- because you would end up with more -
no one has yet invented the knife that would allow you to do that
slice up apples so you end up with more delicious fruit than you started with
but in my Imaginary Universe
custom coated with mirrors
-( for vanity's sake )-
i can do anything i wanna
long as it make some sense
so lemme explain
ONE Divided by ONE Equals ONE
say, if i have ONE to start with
n at the end of it all - i want ONE
most people would just not do anything
if i Divide ONE by TWO though, i get HALF
that's no fun
i want more
let's Divide ONE by HALF - and see what happens
ooh, aah - we get TWO - same as multiplying by TWO
"well," you might say, "why didn't we just do that?"
well, "we" kinda did
see how i did that just there?
i increased the population of my Universe
simply by changing a simple silly little pronoun
but that's magic for ya
~ more magic to come ~
jus sit tight
ok
now
ye got ONE
ONE chic sly funky twisted way to Multiply
without ever revealing to the common eye that that�s what yer doin
is to Divide by the opposite number of what ye wanted to Multiply in the foist place
we saw that in the above n aforementioned ONE vs HALF is TWO scenario
so lets say i take "our" ONE n divide by a lesser n lesser number
i divide ONE by ONE Third - and I get THREE
i divide ONE by ONE Fourth - and I get FOUR
i divide ONE by ONE Fifth - and I get FIVE
i divide ONE by ONE Sixth - and I get SIX
we can do this all day
the number keeps gettin bigger
that�s the trick
n sly approach of it all
n the whole point of me yabberin on n on endlessly
besides a prelude to further looming madness yet to come
see
the LESS ye Divide by
the MORE ye get
simple 
if I divide by one Millionth, I get a Million 
if I divide by one Billionth, I get a Billion 
if I divide by one Zillionth, I get a Zillion
the further down into microscopic realms we delve to Divide
the bigger the telescope we hafta invest in to see our answer
it goes out into Infinity
eventually
that�s the only answer that makes any sense
no one has yet come up with the infinitely small Denominator, as yet
except to say that it would be the Reciprocal of Infinity
but
Infinity being this number that�s Perfectly large
we would need something that�s perfectly small
the only thing that small would be, say, ZERO
see, we had it all along, n didn�t even say
HI
ok
so 
let us 
address 
the ZERO
"Hello, dear ZERO"
and give it all due respect
because it is Infinity in disguise
as the opposite of itself
pretty tricky, eh?
that�s ZERO
- it owes us -
well ..... Nothing
that�s a pretty tough concept
for any living being to wrap a head around
so i guess it�s got its work cut out for it, eh ?
hmm
so how do we get from ZERO to Infinity
without breaking a sweat, any pencils in HALF
or poor underpaid math teachers� necks in the process
well
ok, foist, let us say that Infinity is the opposite of Nothing
but this is perfect Infinity - yay, the greatest Infinity there is
the opposite of Nothing - and the opposite of Nothing is Everything
so we'll begin by saying that this is the Reciprocal of Nothing
or rather, that is, mathematically ... ONE divided by ZERO
follow?
but what if someone wanted to divide something else by ZERO
some other number entirely - say, for example, the number TWO
herein lies the problem that most calculators have problems with
Error, they say - or ZERO
as rational beings we cannot justify or accept this erroneous answer
that multiple numbers divided by the same value produce the same result
even if it is ZERO - or ONE, for that matter
anything minus itself equals ZERO - this is a basic law of nature, we can see
but math theorists will say that a set {1,2,3...} is equal "in size" to {2,4,6...}
as if, each has the same number of numbers?
i say this is hogwash, because we're dealing with counting
measuring from here to there, on a certain scale
that is, relative to something else
- basic Point A to Point B stuff -
counting presumes there is a Beginning and an End
(so we start at ZERO and end at ....... Infinity?)
n harshly presumptive for me as that all may seem
if there is an End, (indeterminate as it may be)
the former set is twice the size as the latter
but, science says there is no end to anything
well
that�s pretty happy optimistic - ending wise
n it keeps em in business - till next semester
so
Infinity should be dealt with as a theoretical concept
just place its status of existence on the shelf, as it were
after all, we are dealing with Absolutes - Everything and Nothing
who can really say what standards we should measure their Existence by
so we call both ZERO and legendary Infinity tentatively Imaginary, for now
in Theory
but on a graph, do we acquire the same result, though from a different approach?
whatever you Divide by a lesser and lesser number, the result is eventually astronomical

so
it is important to remember that as the Curve stretches out into the vast void
it never touches the Number Line, just gets microscopically closer to it
the moment it does touch, that one particular Coordinate equals ZERO
the Other Coordinate *must* equal Infinity
blasting off in an ever expanding lightshow
Infinite times further than you�ve come so far
where does it go?
who knows
perhaps another Dimension
invisible to us
meaning Nothing to the Number Line
but ..... um ..... first
let me say that dividing by ZERO is a silly thing to do in the foist place
if John has eight apples and owes 50% of his earnings to Claude the Rainman
he must divide whatever he has by two - thus, each is only entitled to four
- now say he has dependents that require 75% of his net earnings to survive -
so he must multiply what he has left by .75 - n poor John only has ONE left !!!
(me, i'd divide by 4 n multiply that by 3)
(but then, i'm an armchair math-o-magician)
if, on the other hand, he must divide his portions by a lesser number
it's the same as multiplying by Greater and Greater numbers
like, say he's a Producer (as well as in Produce)
~ 50% to Miss X ~ 50% to Madam Y ~ 100% to Ms Z ~
that's an additional 200% he must pay out to various investors
he runs out of apples too soon, n ends up in jail too young
..... but wait, i get ahead of meself .....
let me say also that dividing by ONE is an equally silly thing to do with numbers
let's just look at ONE as the point where division cancels itself out
where it crosses the line into multiplication
we'll call ONE the dividing line
imagine it as a mirror
imagine ZERO as a mirror also
so between ZERO and ONE, we have Mirrorland
standing between these two mirrors we see infinite reflections
behind the one mirror (the ONE mirror) is the rest of Positive existence
this is a brightly lit realm of reality, evenly marked off, regularly spaced, elegant
behind the other mirror (the ZERO mirror) is all of Negative existence - dark n mysterious
so
anything we multiply by a fraction of ONE, "point something" 
- some doi decimal or fraction value - between ZERO and ONE -
will require that we imagine something outside this safe zone
something either Greater than ONE - or Less than ZERO
here
X * 1/2 = 1/2 X
X times ONE-HALF equals ONE-HALF X
- likewise -
X / .5 = 2X
X divided by ONE-HALF equals TWO X
let us say that one half of X is the opposite of two of X
cuz it is
but say
if someone walks up to John for no apparent reason
except to sever his one remaining apple in two parts
and takes one of them, he only has half an apple left
but
in the alternate parallel universe, where Spock has a beard
and everything is exactly opposite everything in our universe
someone woulda prolly walked up to him for no real good reason,
smiled, and at the end of it all he woulda had TWO apples, not ONE
but wait
let us imagine for a minute that the only numbers that "really exist"
are those that lie between ZERO and ONE - um, between Point A and Point B
(this would be any Point A and Point B you would care to apply it to though)
using the mirrors
you can now safely calculate the value, or say, the precise exact relationship
of any one number to any other, or any combination to any other (ad infinatum)
and Infinity would be the center parta either mirror - another reference point
ok
now
ONE dimensional - basic (lines n rays) = Addition and Subtraction
TWO dimensional - relationships (graphs) = Multiplication and Division
THREE dimensional - abstract (reality, space, etc) = Power and Square Root
FOUR dimensional - absolutes, perfection (factor in Time) = ZERO and Infinity
so maybe
these basic concepts and/or planes of existence
relate to each other - so very politely
acknowledging each other's existence
as they go about their mutual business
i say 
(now get this) 
..... as you approach .....
the increasingly theoretical ZERO on a divisor curve
from the point of origin, or perspective, of say, TWO
you have Twice the Infinity as you would, in some way
if you were to approach it from the perspective of ONE
(as far as it matters to what we're currently calculating)
so
i'm not sayin just cuz we decided to play with numbers a bit
that all of a sudden there's multiple Infinities floating out there somewhere
but, just for the sake of argument, let's say that such a decision has already been made
now
because we hafta bounce off both mirrors to do this,
i propose that TWO divided by ZERO equals Infinity Squared
and THREE divided by ZERO equals Infinity Cubed, and so on ...
now, granted, this is an abstract concept
but
assuming the Universe is Infinite, and that there are multiple Universes
it is therefore entirely possible to have a handfulla Infinities, if one so chooses
but, of course, as with all math in potential perpetual existence, this is just "on paper"
thus
hold up a ONE Dimensional mirror to Infinity itself
only ONE way to do this physically, if imaginatively
imagine a ray with ZERO thickness, but Infinite length
now imagine it's made of a perfectly reflective material

so
does this 1D Reflection view "our" Universe as a reflection ?
does a Negative, antimatter filled, Universe see us as "anti" ?
maybe
the question of Negative vs Positive 
is just in how they relate to each other
therefore
Powers and Square Roots, Multiplication and Division
are just as Reciprocal as Addition and Subtraction
thus
Infinity vs ZERO - Everything vs Nothing
it's all in yer inimitable perspective
but wait
does Nothing see Infinity as ZERO ?
are we really that easy to ignore ?
ok
now
- imagine a TWO Dimensional mirror -
spanning the wide vastness of the Universe
each mirror reflects a portion of the Universe
that together equal a single Universal Reflection

so, um
~ no matter where you place the 2D mirror ~
(Half + Half) + (Half + Half) = TWO Universes
but
Universal Infinity having no limit by definition
we cannot say that it is Half or any other fraction
because that requires that we know the precise limits 
of the ever increasingly theoretical Integer in question
in any case
the Sum of the TWO Reflections is ... ONE additional Universe
adding that to the ONE we started out with, gets us ... TWO total
but wait
that throws my silly theory of Infinity Squared right out the window
no matter what we do, so far, we seem to get only TWO Universes - argh!
*sigh*
so now i'm gonna dare to propose that whatever you do to mess with Infinity
yer gonna come up with ONE Infinity ..... Plus ..... the One you started with
aha
The Function becomes an Integer in the Equation
huh?
that's the problem with Infinities
they're always gettin a big ol' ego
thinkin they're the whole Universe etc
but
what about the Negative side of things ?
now we hafta Subtract ONE whole Universe ?
just when we thought we were on to something
that's where the mirrors come in
we tend to forget
Infinity includes the Negative side o things too
so maybe all we're doing is (pfft) contemplating 
the "essence n reality" of Infinity n the Universe
when we try to apply Functions to it etc
problem is
i *want* TWO divided by ZERO to equal Infinity Squared
it makes sense to me, in it's own inimitable funny little way
when the Universe makes sense, i can relax - hey, i'm a math geek
see
i am lost by the seemingly impossible concept that essentially
ONE equals TWO equals THREE equals FOUR equals ....... etc ???
when we talk about potential Numerators vs a ZERO Denominator
- but maybe that's the whole thing of it -
that ANY number is an integral part of the Universal Whole
and therefore must be considered an Equal part of the Set
a Universal Dream, if you will
(anyone can aspire to greatness)
the Set being Infinite in Nature
any part of it includes the rest ?
bah
i'm trying to deal with real numbers here
i mean, the curve *looks* like it's going further, faster
but i guess it doesn't really matter when there is no definable limit
but that's the thing
we're talking about multiple "no definable limits"
X times The Great Undefined
but you can't solve for X unless you know what Y is
and therein lies the trick
X has no meaningful value
because there is no wall to measure it against
it doesn't matter what the Numerator is vs ZERO
ZERO doesn't care - it's an absolute center point
the absolute center of the Universe
- no matter how you slice it up -
Infinity isn't aware of ONE or TWO
it has no concept of how to attack
or even approach
anything besides the Mighty ZERO itself
(it's an exclusive Set - the Absolutes)
arrogant ignorance or ignorant arrogance
the concepts simply don't apply
you put ONE before ZERO
or TWO, or anything else
and ZERO says, "ok, i can work with you"
"i will communicate with you on your level"
"but i'm not gonna talk to you about Infinity"
poor ol' Infinity
lonely at the top
likely gets the same rhetoric about Integers
stubborn ol ZERO - named after an epithet
no such thing as an opposite? 
i wonder
maybe Infinity really *is* the opposite of ZERO
after all ... we can't go Dividing Infinity by ONE
it doesn't seem to have any undeclared opposites
we don't even know what Infinity *is*
but on that note
it doesn't really matter that we have no scale to measure it
anything Divided by ONE, ye get what ye started with, eh?
perhaps
Infinity is "that which no scale can possibly measure"
while ZERO is "that which no scale is *needed* measure it"
anyways
maybe it's better to say that we can't go Reciprocating Infinity
or for that matter, any Absolutes out there, namely ZERO n ol' side-8
but still
ZERO *is* the Grand ol' celebrated Opposite of Infinity
i can prove it (watch my hands, now) ..... see? 
Everything, Nothing, Everything, Nothing
can't talk about one without the other being inversely relevant
opposites attract
..... but wait .....
lemme rephrase that
- "can't talk about ONE without the other being inversely relevant" -
hmm ..... let's call Infinity *ONE* (just for now, n the sake of argument)
pretend that ONE is the official limit to all existence n further consideration
(and likewise, that Negative "ONE" is the official limit - in the Other direction)
so
here we have the entire otherwise incalculable Universe
subscribed down to a total value of TWO
(there's that pesky TWO again)
n ZERO's in the center
let the games begin
ok
so *now* what do we do?
well
foist
Square the Reciprocal of the Integer in question
um, just kidding
ok
but wait
what if we Squared TWO?
hey
now we're getting somewhere
TWO Squared is FOUR
but wait
that's still just TWO total Universes
the entire span of known existence = 2
(FOUR, our winner, is only Twice TWO)
well
we can keep Squaring that, ad Infinatum,
and thus define our own nature of Infinity
and
the original TWO relating to the second pair
cancel each other out - if we're so inclined
bringing us eventually back to ZERO all we wanna
ok
skip that
that's redundant
n a bit annoying
how bout this
y'know how i like to throw around grand terms like "Anything" ?
"Anything Divided by ONE" n "Anything Divided by Nothing"
well, "Anything" is something to be considered, innit?
coitny
now we have a grand ol' Trinity
welcome to the club of Absolutes, dear ol' Anything
~ Infinity n ZERO were gettin kinda bored with each other ~
(but before ye get carried away, "Nothing" always equals ZERO)
so
stop me if ye hoid this
i'm goin out on a limb here
Anything: that Inimitable Other
second only to ZERO, but not Infinity
cuz Anything ... being variable by nature 
(n in all estimation, any definable definition)
can dress up as Infinity whenever it feels like it
so, hmm, it can even dress up to be ZERO sometimes too
i guess
n if ye can do that, ye can do Anything
maybe the Almighty Anything is better, then
wow
cool
neat toy
so let's say, for instance, that Anything is ZERO
- - - ZERO - - times ZERO - - equals ZERO - - -
hmm, acts just like ONE in that there ONE, eh ?
but is that the only ONE it acts like ONE in ?
~( hmm, the nature of The ONE, that IS )~
but
* we tricked ZERO into performing a Function *
like i said
neat toy
Maybe we can treat Infinity like ONE someday - whaddya say ?
Maybe we can do alotta things - it's an Infinite Universe
but still
* we tricked ZERO into performing a Function *
that is ..... Something other than Nothing
or converting all it touches into Nothing
well, we tricked ZERO into doing Something
like i said
neat toy
maybe Something has a future in this crowd
we'll bring it up at the next "bored" meeting
ok so now
how bout Infinity
there's only ONE Infinity
so to speak
per se
n no matter what we did before
the best "we" were able to come up with
was Infinity ... Plus Infinity ... Minus Infinity
how is it that i feel trapped in an Infinite Universe ?
well
cuz i am
n you right with me
but that's happenin to all of us
so i'll quit bitchin
point is
see
we forgot to continue on with our mirrors
we had good luck with em so far
up to a certain point anyways
hmm
lessee now
next on the list
3D
[ take a cube ]
heh - now we're talkin
here we go
ok, imagine a cube made of mirrors
size and perfection are irrelevant
(cuz, yes, all will be assimilated)
long as it's at least "cube like"
facing in 6 separate directions

but 
they never face each other - just out into the Infinite Universe
gathering reflections of Infinity, for Infinity to reflect back upon
ok - now - inside the cube
that portion of infinity is bein reflected six times,
each of those mirrors reflecting portions of the other five
(with complimentary portions being taken up by opposite sides)
plus a perfect vision of itself in the opposite ONE, across from it
ok wait, take a breath - let it all sink in for a bit
this number is being multiplied multiple times as these reflections perpetuate
but it has a finite end, a critical limit - a number which is yet to be determined
n the only number we have that is completely undeterminable ... is ... Infinity !!!!!
so has anyone grasped yet the implications of such a phenomenon?
=o] we have successfully Squared Infinity [o=
ta da
not bad, eh ?
took a cube to do it
but wait - we're not done
the outside mirror sides - facing outside the cube ?
they are each reflecting a portion of Infinity too
each complimentary pair has within its vision
(for all intents n purposes presented here)
the Sum total of a whole entire Infinity
n then there's TWO more just like it
but wait
that's not the entirety of Infinity they're figurin
- we forgot about the dern blasted Infinity Squared inside -
which didn't have a proper Infinity to begin with in the first place
but wait
~ it doesn't matter how microscopically small, or how big the cube is ~
yer still Dividing up Infinity when ye hafta have an inside n outside
hmm
so lets keep the 3D shape - that was good
just lose the volume - that kinda sucked
so
three mirrors - in right angle proportions
just like a cube - but more like a cross
each owns ONE Dimension of the XYZ axis
and
each has a right angle view of the other two
so each thinks of itself as the horizon
n they�re all right
for all intents n purposes
from their own customized perspective
but they can�t see themselves in any mirror
this is looking pretty derned promising
closest to perfect we been so far

so
how do we figure this out?
um
foist
each 2D mirror of ZERO thickness n Infinite expanse otherwise
contains within each surface a perfect reflection of
(we�ll say HALF) ... HALF of Universal Infinity
TWO of those gets us ONE additional Infinity
each
so that�s THREE Infinities
Plus the ONE we started with
but wait
there�s more
each of those mirrors
is reflecting the other TWO
hmm
so now
- at the end of it all -
that�s THREE Times THREE Infinities total
n yes, still Plus the ONE we started with
that makes 10 Infinities out of just ONE
just from positioning mirrors correctly
ok
now
what are we gonna do with all that room ?
n besides
how do we express this mathematically
well
it won�t work in the "real world"
with say, Something like money
- even apples are right out -
but
ONE divided by ZERO still must equal Infinity
TWO divided by ZERO still must equal Something else Infinity
- it would be nice n neat -
if the Numerator applied to the Exponent
n a negative Numerator applied to the Square Root
- yes, that would be neat -
the Universe has turned out to be that simple n elegant in the past
n Absolutes like ZERO and Infinity should not be complicated at all
i can imagine them maybe doing things we might not be accustomed to
or expect
but certainly Something, whatever it is, that can be easily explained
- but since we�re not designed to comprehend such Absolute concepts -
we�re gonna hafta go in the back door - or find some other way around
hmm
i would like to propose that this is the way that it is
mainly, cuz this is the way i want it to be
it would make my life simpler
but
right now ?
my unenviable life 
is being made difficult
~ by not having any proof ~
yet
foist
let�s examine the curve they each take
ONE and TWO Divided by lesser and lesser numbers
each of em Divided by ONE produce themselves, if redundantly
ONE Divided by HALF is TWO
TWO Divided by HALF is FOUR
- meanwhile -
ONE Divided by .25 is FOUR
TWO Divided by .25 is EIGHT
- elsewhere -
ONE Divided by .1 is TEN
TWO Divided by .1 is TWENTY
so
seems like no matter what we try n throw at em
TWO leads ONE ..... um, so far ..... TWO to ONE
thus
it should be simple
by the time we get to Infinity
- whatever *that* is -
TWO should outpace ONE (um) TWO to ONE
quick check
THREE Divided by HALF is SIX
THREE Divided by .25 is TWELVE
THREE Divided by .1 is THIRTY
ok, and
FOUR Divided by HALF is EIGHT
FOUR Divided by .25 is SIXTEEN
FOUR Divided by .1 is FORTY
so 
it seems like the Numerator becomes the Multiplier
not the Exponent, or the Root - or anything else fancy
hmm - ok
ONE divided by ZERO equals infinity
TWO divided by ZERO equals TWO infinities
THREE divided by ZERO equals THREE infinities
....... and so on, and so on, and so on .......
so, um
how do we get Infinity Squared?
i mean, that�s so cool a concept
maybe
there just isn�t the math for it, for us 
i mean, what does a number line know of a graph?
or a flatland graph possibly comprehend of our world?
maybe in the next life, it�ll seem so painfully obvious
but for now, i�ll jus sit n dream
n try to not feel so silly