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Topic: Matheology � 258
Replies: 104   Last Post: May 5, 2013 2:26 PM

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 dan.ms.chaos@gmail.com Posts: 409 Registered: 3/1/08
Re: Matheology § 258
Posted: Apr 30, 2013 12:56 PM

> You did not write down any digits. Therefore your example fails

> > > A real number can be listed by a terminating decimal, by a periodic
> > > decimal, or by a formula supplying each of its decimals.

I gave you a formula for each of the decimals of the anti-diagonal ,
provided you would have given the formula for the list.By your own
definition (the third case you mentioned, that is) , I succeed .The
antidiagonal is list-dependent . Cantor himself never claimed
otherwise .

> No. I know that any language that can be used cannot have more than
> countably many words.

Yes , but no language can express all the reals.
If you manage to count all the reals R_1 expressed in a language
L_1 , then , since you can't do such a thing in the language L_1 ,
you're already using a stronger language L_2 .

L_2 can count the reals of L_1 , but L_2 itself has even more reals ,
that it cannot itself count .
To count the reals of L_2 , you need an even stronger language
L_3 ,and so on .

There's actually an uncountable amount of "languages that have
countably many words". And every consistent language
can express a countable subset of the reals .

>I know that everything that can be stored in the universe belongs to a
>finite set.

Do you really want to go in the physics?
The most accepted cosmological model predicts the universe is
spatially infinite and roughly homogenous in large scales.

>If all places are occupied and you want to store something
>else you have to forget something former - without any traces.

Erasing information without leaving traces in the environment would
decrease entropy , thus violating the second law of thermodynamics .
Information is never truly 'erased' . All places are never occupied .
We have a lot of space around , and it's expanding .

>In science one knows this, one knows it everywhere
>apart from matheology.

>Religions and matheology have no real limits and no real contents.

http://en.wikipedia.org/wiki/Differential_equation#Directions_of_study

Differential equations.They work with infinite digits , and real
numbers, and get results, used by real scientists .

Every mathematician with a bizarre new idea has,eventually, managed to
make his concepts understood to the mathematical community, or at
least someone else ,for that matter .
The fact that you haven't , and , sadly ,most likely can not, should
give you an idea of the situation . There's only one true practitioner
of matheology . The rest of us , well ... we're just doing
mathematics .

Date Subject Author
4/29/13 Virgil
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4/29/13 Virgil
4/30/13 dan.ms.chaos@gmail.com
4/30/13 mueckenh@rz.fh-augsburg.de
4/30/13 dan.ms.chaos@gmail.com
4/30/13 mueckenh@rz.fh-augsburg.de
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