On Wed, Feb 4, 2015 at 5:49 PM, Bruno Marchal <[email protected]> wrote:

>
> On 04 Feb 2015, at 06:02, Samiya Illias wrote:
>
>
>
> On 04-Feb-2015, at 12:01 am, Bruno Marchal <[email protected]> wrote:
>
>
>
>
>>
>> Then reason shows that arithmetic is already full of life, indeed full of
>> an infinity of universal machines competing to provide your infinitely many
>> relatively consistent continuations.
>>
>> Incompleteness imposes, at least formally, a soul (a first person), an
>> observer (a first person plural), a "god" (an independent simple but deep
>> truth) to any machine believing in the RA axioms together with enough
>> induction axioms. I know you believe in them.
>>
>> The lexicon is
>> p   truth    God
>> []p  provable Intelligible  (modal logic, G and G*)
>> []p & p  the soul (modal logic, S4Grz)
>> []p & <>t  intelligible matter    (with p sigma_1) (modal logic, Z1, Z1*)
>> []p & sensible matter     (with p sigma_1) (modal logic, X1, X1*)
>>
>> You need to study some math,
>>
>
> I have been wanting to but it seems such an uphill task. Yet, its a
> mountain I would like to climb :)
>
>
> 7 + 0 = 7. You are OK with this?  Tell me.
>
>
> OK
>
>
> Are you OK with the generalisation? For all numbers n, n + 0 = n.  Right?
>
>
> Right :)
> You suggest I begin with Set Theory?
>
>
> No need of set theory, as I have never been able to really prefer one
> theory or another. It is too much powerful, not fundamental. At some point
> naive set theory will be used, but just for making thing easier: it will
> never be part of the fundamental assumptions.
>
> I use only elementary arithmetic, so you need only to understand the
> following statements (and some other later):
>
Please see if my assumptions/interpretations below are correct:

>
> x + 0 = x
>
if x=1, then
1+0=1

>
> x + successor(y) = successor(x + y)
>
1 + 2 = (1+2) = 3

>
> Are you OK? To avoid notational difficulties, I represent the numbers by
> their degree of parenthood (so to speak) with 0. Abbreviating s for
> successor:
>
> 0, s(0), s(s(0)), s(s(s(0))), ...
>
If the sequence represents 0, 1, 2, 3, ...

>
> Can you derive that s(s(0)) + s(0) = s(s(s(0))) with the statements just
> above?
>
then 2 + 1 = 3

Samiya

>
> Bruno
>
>
>
> Samiya
>
>
>
>
>
>
>> to see that this give eight quite different view the universal machines
>> develop on themselves.
>>
>
> Reminds me of this verse [http://quran.com/69/17 ]:
> *And the angels are at its edges. And there will bear the Throne of your
> Lord above them, that Day, eight [of them]. *
>
>
> It is like that: The four first (plotinian) hypostases live harmonically
> in the arithmetical heaven:
>
>
>                                           God
>
> Terrestrial Intelligible                           Divine Intelligible
>
>                                    Universal Soul
>
>
>
> But then the Universal Soul falls, and you get the (four) matters, and the
> "bastard calculus":
>
>
> Intelligible terrestrial matter                   Intelligible Divine
> matter
>
> Sensible terrestrial matter                      Sensible Divine matter
>
>
>
> Here divine means mainly what is true about the machine/number and not
> justifiable by the numbers.
>
>
>
>
>
>
> It provides a universal person, with a soul, consistent extensions,
>> beliefs, and some proximity (or not) to God (which is the "ultimate"
>> semantic that the machine cannot entirely figure out by herself (hence the
>> faith).
>>
>
> Interesting!
>
>
> All universal machine looking inward discover an inexhaustible reality,
> with absolute and relative aspects.
>
> Babbage discovered the universal machine, (and understood its
> universality).  The universal machine, the mathematical concept, will be
> (re)discovered and made more precise by a bunch of mathematical logicians,
> like Turing, Post, Church, Kleene.
>
> You are using such a universal system right now, even plausibly two of
> them: your brain and your computer. They are a key concept in computer
> science. They suffer a big prize for their universality, as it makes them
> possible to crash, be lied, be lost, be deluded. They can know that they
> are universal, and so they can know the consequences.
>
> The religion which recognizes the universal machine and her classical
> theology might be the one which will spread easily in the galaxy in the
> forthcoming millenaries. (Independently of being true or false, actually).
>
> Bruno
>
>
>
>
>
> Samiya
>
>>
>> If you want to convince me, you have to first convince the universal
>> person associated to the Löbian machine, I'm afraid.
>>
>> I am not pretending that the machine theology applies to us, but it is a
>> good etalon to compare the theologies/religions/reality-conceptions. The
>> problem is that we have to backtrack to Plato, where what we see is only
>> the border of something, that we can't see, but yet can intuit and talk
>> about (a bit like mathematics or music)
>>
>> Bruno
>>
>>
>>
>>
>>
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