Re: Imagining Infinity
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Re: Imagining Infinity         

Group: alt.philosophy · Group Profile
Author: Jack
Date: Jul 23, 2008 06:40

"Immortalist" yahoo.com> wrote in message
news:c227f6f3-da30-4ea9-9842-969c06e0cf2f@z72g2000hsb.googlegroups.com...
> On Jul 22, 10:51 am, "Jack" yahoo.com> wrote:
>> "Don Stockbauer" hotmail.com> wrote in message
>>
>> news:4acc8522-9322-499e-be13-7883051f6330@k13g2000hse.googlegroups.com...
>>
>>
>>
>>> On Jul 22, 11:51 am, "Jack" yahoo.com> wrote:
>>>> Suppose you have a pixilated screen, say, 10000 x 10000 and two
>>>> colors--black and white pixels only. That's 10 to the 8th pixels.
>>>> 100
>>>> million.
>>
>>>> Now imagine all the possible combination--every other pixel lit, every
>>>> third, etc.
>>
>>>> Now realize that among all the possible combinations is all the text
>>>> of
>>>> every book ever written in every language. And all the text of every
>>>> book
>>>> ever written with you holding a bottle of shampoo on the page. And
>>>> every
>>>> page of every book ever written with you and Jack London sitting down
>>>> to
>>>> a
>>>> penguin dinner with a glass of pH 4.01 standard buffer solution
>>>> balance
>>>> on
>>>> Jack head.
>>
>>>> And portraits of every one your possible unconceived siblings.
>>
>>>> And so on.
>>
>>> Certainly there are a very, very large number of such combinations.
>>> But there aren't an infinity of them. There aren't an aleph null,
>>> the actualized infinity of them. They form a potential infinity. An
>>> actualized infinity is a mathematical abstraction which can never be
>>> realized.
>>
>>
>> This post is one possible combination of my screen example.
>
> Kevin Kelly proposes a theory of "the method" or systematic ways to
> search through a very large "possibility space". He claims that
> evolution itself is a search method for finding organized patterns of
> form. But given a complex enough system conducting the "method" is
> actually the same as artistic creation of the artifact itself. This
> makes me think that creativity is itself just a search style for
> hidden patterns.
>
> http://www.kk.org/outofcontrol/ch14-a.html
>
> Imagine a library which contained all possible books which could
> possibly be written with 26 or more letters, numbers or markings
>
> For every sensible line of straightforward statement in the readable
> books there are leagues of senseless cacophonies, verbal jumbles and
> incoherence. Nonsense is normal in the this hypothetical Library. The
> reasonable (and even humble and pure coherence) would be an almost
> miraculous exception.
>
> Nearly all the books are full of random letters. One book might be
> made up of the letters MCV, perversely repeated from the first line to
> the last. Another (very much consulted, by the way) is a mere
> labyrinth of letters, but the next-to-the last page says Oh time thy
> pyramids.
>
> All the books, no matter how diverse they might be, are made up of the
> same elements: the space, the period, the comma, the twenty-two
> letters of the alphabet. He also alleged a fact which travelers have
> confirmed: In the vast Library there are no two identical books. From
> these two incontrovertible premises he deduced that the Library is
> total and that its shelves register all the possible combinations of
> the twenty-odd orthographical symbols (a number which, though
> extremely vast, is not infinite).
>
> So, in other words, any book you could possibly write, in any
> language, could be found (theoretically) in the library. It contains
> all past and future books! Everything: the minutely detailed history
> of the future, the archangels' autobiographies, the faithful catalogue
> of the Library, thousands and thousands of false catalogues, the
> demonstration of the fallacy of the true catalogue, the Gnostic gospel
> of the Basilides, the commentary on that gospel, the commentary on the
> commentary on that gospel, the true story of your death, the
> translation of every book in all languages, the interpolations of
> every book in all books.
>
> All possible books exist in this library of form.
>
> Re-arranged from OutOfControlKevinKelly;
> http://www.kk.org/outofcontrol/ch14-a.html
> http://www.kk.org/books/index.php
> http://www.amazon.com/gp/product/0201483408/
>
> http://www.kk.org/outofcontrol/ch14-a.html
>

What gets me is the relatively small number of dots you would need to make a
legible page of tex
--say 50,000? And think of the arrangements! Now think
of how many atoms exist in the universe and--think of the arrangements! No
wonder there are pockets of organization... I think of earth--with it's
lifeforms and the subtle arrangements of atoms that we humans affect--as a
kind of inevitable little swirl of order as pockets of the universe cool
down. Earth is like condensation.
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