My discussion with Ray Solomonoff

Mathematical complexity, Mathematics, Science

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http://en.wikipedia.org/wiki/Ray_Solomonoff

From: Alexander P-sky
Date: Mon, 5 Oct 2009
To: Ray Solomonoff’
To partially summarize my ideas below – the claim of having the *new*
formula for calculating the certain mathematical constant (particularly Pi), 
 in the case if the formula could not be either analytically proven or analytically disproved,
carries uncertainty.
Therefore your method should be somehow applied ?
(If my logic is wrong – please show me why)
====================================================
Why should only “analytically *uncomputable* ” (experimentally
obtained ) or calculated via “guesstimated physical model” or not
directly presicely measurable  (such as proton/electron mass ratio)
physical constants be subjected to this methodology ?

I would like to return this discussion back to mathematical constants,
especially to Pi, which has clear geometrical/topological
nature/origin  (perhaps it has additionally the physical nature too
but I am not concerned about that part for now). and is not invented
by the pen on the piece of paper.
There are many formula’s for Pi. I presume (I am guessing – please
correct me if I am wrong) that originally certain method of Pi
computation (whether it was in close form formula format or otherwise,
such as iterative approach – I don’t know, sorry, – but in my line of
thinking it doesn’t matter, which specifically it is/was) .
The results produced of all (or some) subsequent independent formula
is compared with above “standard” for correctness – am I correct so
far ?
Now if you agree with me in above, – then for each of such *new*
formulas (being under the test) there is some uncertainty whether this
formula is true or not – would you agree with that ? If so, then why
Solomonoff’s methodology is not applicable (in some form ) ?

Also (returning now to the world of physics and going on another path
of sought) – why some sort of “reverse” methodology (vs Solomonoff’s
one) can not be be developed ?
Here is potential example of such “reverse” methodology applicability:
the physicists agree that Einstein formula constitutes  calculational
precision improvement over Newton’s one

(irregardless whether such calculational precision improvement
is practically significant when the velocities are *close* to speed
of light or insignificant in otherwise situations) .
So could we say that the Newton’s is * more distorted due to “noise”*
whereas Einstein’s one contains less noise and is closer to the
*absolute truth* (for the issue concerned) ?

Alexander P-sky

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  3. Generalizing identities for Pi & its convergents
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  19. Alexander R. Povolotsky – Approximate identities based on linear combinations of symbolic constants
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  22. My discussion with Ray Solomonoff
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