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May 30, 2017

Machines can justify their own incompleteness

"On 28 May 2017, at 20:30, Tusar Nath Mohapatra wrote:
Thanks Bruno for appreciation and positive assessment."

You are welcome Tusar.

"You have raised enough anticipation in this forum about your theory which, let's hope, will be unveiled by you someday so that it can be understood by non-specialists like me without being tortured by mathematical symbols or equations."

I think that when we try to explain the theology of the numbers, without equation, we get the discourse of the mystics, including the silence of those who have gone sufficiently far to know well where they need to stay silent. We get even closer to the mystics open to rationalism, like the antic greek neoplatonists, like Plotinus, or perhaps even closer to the neo-pythagoreans (like, perhaps, Moderatus of Gades, if some accounts are correct, because, unlike Plotinus, we have lost all his writings). 

Of course, that might be preposterous, and I might be biased. 

Without equation, I want to refer you to the proof of the immortality of the soul by Socrates/Plato. 

Yet, the amazing thing which I try to convey, is that by making the assumption of the finitude of its body (a reasonable version of mechanism), a large class of machines will already ¨find*, by themselves, that they have a non definable first person self (which can be used as a "meta-definition" of the soul), and that such a soul is immortal (in a context which is hard to describe, and this might be for the worst and the best: open problem).

Gödel" incompleteness is that the universal machine is for ever never completely semantically satisfied, from its point of view. 

What many people miss, although it was already present in Gödel's 1931 paper, is that  the machines, alluded above, can justify their own incompleteness. The machine understands that their are ignorant about something, and that it is big and partially explorable, in many different ways. They already know (in a precise technical sense) that the more they learn about It, the bigger is their ignorance, like with a lantern in an infinite cave: the more you see, the more you see that you don't see. They know that about It, the more they know in "quantity", the less they know in proportion. They converge toward a sobering modesty (to use your word below).

"I have, however, added the final four lines to the above poem as follows:
It's agreed that we are far away
From any semblance of a solution"

I think we go close every thousand years. Then we drift away, by the usual human many attachments. Perhaps fear has some role, or some fear pathologies, or egocentric exploitations.

The virgin universal machine, I mean the not-yet-programmed one,  is at least sufficiently close and precise that we can test "her" physical theory. 

But once programmed and enslaved, they too drive away. And the One becomes the Multiple, "again".

The theological truth contains secret parts (already well described by the machine "guardian angel". This gives some access to the machine, to what is beyond it.

I was alluding to the modal logic G*,  I will say some word on it later). The machine remains silent on this. That secret parts is very often well described by mystics, but also by smokers of Salvia divinorum. Some things are not supposed to be publicly asserted on the "terrestrial plane". it would spoil the terrestrial life, a bit like a thriller movie can be spoiled by someone telling the end of the thriller.

Are we really far away of the solution? 
Or is it that we are so close to it all the time that we forget to look at it?
Perhaps we prefer not to look at it, and try to forget when we do? 
Or we get just blinded by the enormous amount of prejudices that we drag when lost in very long deep histories? So far from Home?

The universal machine is not the solution. It is on the contrary the terrible child which raises all the questions and put a lot of mess in Plato Heaven.
But sometimes, it can wake up and recognize itself in some others, and can recall where it comes from, in a lasting, or not, moment.

"This should mean as a very sobering attitude
In the face of human finitude."

I don't know. I suspect something sobering, certainly, but perhaps accompanied by something transcendentally funny also, which gives some price to our local body-mechanical-finiteness.

Mortality is an illusion.
Immortality is an infinite illusion. 

Technological immortality (or approximations), like the goal of the transhumanists is Nirvana procrastination, or Samsara Complacency.

Hmm... Now I have to look at the equations to see if I am not rambling too much :)

All the best,

Bruno
May 30, 2017
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