My discussion with Ray Solomonoff

Mathematical complexity, Mathematics, Science



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

  1. At The Dawn of The Twentieth Century
  2. Protected: The eternal curse!
  3. Generalizing identities for Pi & its convergents
  4. О доступе к вкушению плодов древа знаний
  5. Истории моей эмиграции
  6. Большой Театр открылся после Перестройки
  7. Пролетает над грешной Землёй метеор
  8. Когда в Раю случился первородный грех
  9. My resume
  10. Глупцу
  11. Вновь про талисман
  12. Корабль мечты
  13. Иллюзий хрупких юности узорчатый рассыпался витраж
  14. Древо жизни
  15. Мертво искусство без души
  16. Strikes heavy bombing roar rumbling bass
  17. Россия – расстались навсегда с тобой евреи…
  18. Никто не учится увы истории урокам
  19. Alexander R. Povolotsky – Approximate identities based on linear combinations of symbolic constants
  20. Alexander R. Povolotsky – Quantitative analysis of knowledge.
  21. Review of “Newton’s Laws – The Concepts”
  22. My discussion with Ray Solomonoff
  23. BBP identity yielding rational number
  24. Alexander R. Povolotsky – Logarithm, Pi related and other identities
  25. Entire English language poetry collection
  26. Pi approximations by roots of Diophantine equation
  27. Re-rise of Islamism & decline of Western Judo-Christian Civilization
  28. Who was driving the *show* during the collapse of the Soviet Union (USSR)?
  29. Sonnets (in Russian)
  30. В подражанье к Тютчеву (lyrics in Russian)
  31. Уже погасли фонари
  32. Вчера я видел сон (lyrics in Russian)
  33. Вина бокал (Lyrics in Russian)
  34. Ramanujan constant related stuff
  35. Extending Braille notation for math, physics and chemistry ?
  36. Entire poetry collection
  37. Alexander R. Povolotsky – BBP formula for Pi in a slight disguise
  38. Alexander R. Povolotsky -Three hard to prove conjectures
  39. “This guy”
  40. Infinite sums for Euler number (Napier’s constant) & its roots
  41. Alexander R. Povolotsky – Poetical improvisation on Pushkin’s ‘Egyptian Nights’
  42. Alexander R. Povolotsky – Formulas on k-folded sums of powers.
  43. English translation of the “Unsmiling Tsarevna (Nesmeyana)” song
  44. Napoleon vs Russia
  45. USSR’s demise & dissolution caused 4 fold Dow-Jones growth
  46. Brief rhymed reviews for selected books
  47. “Young And Tender Love Forever”
  48. The quotes, which I made up
  49. My English translation of A. S. Pushkin’s “The Night”, which he wrote in 1823
  50. Do you love or just want to be loved ?
  51. Моя остановка
  52. My Jewish People, Israel – I am your proud son !
  53. Besame Mucho Juanita, the Mexican girl
  54. Stepp but stepp around
  55. Please now look at me
  56. New shocking findings on the Beauty and the Beast ;-)
  57. On Love and Poetry
  58. There was a girl
  59. To YOU
  60. “Ошибся я, ошиблась ты”
  61. On USSR/Russia history – brief notes
  62. The bouquet of roses
  63. “Посмотри на небе звёзды горят”
  64. The mirror (in Russian)
  65. Стареющий певец
  66. variation on Goethe’s
  67. Lyrics – for the song (in Russian)
  68. Слова любви
  69. I don’t want to read your book
  70. Я стою на краю
  71. The ballad about the king, his daughter and her young lover
  72. Два имени (two names)
  73. Много лет тому назад
  74. variation on Goethe’s (in Russian)
  75. The mirror (lyrical poetry – in Russian)
  76. Jipsy motives – in Russian
  77. Из камня слова моего (lyrics in Russian)
  78. Ушли любовь, страданья, муки (lyrics in Russian)
  79. Бесцельна жизнь
  80. My tribute to Omar Khayyam