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Computational complexity of the consciousness problem


A. V. Savelyev – Senior Research Scientist, Editor of the Journal «Neurocomputers: development, application», patent agency «©Uniquely honest patenting», E-mail:

The problem of the explanatory gap between the physics and the mentality (EGPM) or in the terminology of D. Chalmers «hard problem of consciousness» is difficult. Difficult but not in the sense of the impossibility of its solution or even longer not in the sense of qualitative but on the contrary quantitative sense because of its computational complexity. Number of shades, states; directs, indirect and branched associations and even taking into account the time dimension, which determines the life span of an individual in real time, even without genetics immediately generates numbers tending to infinity [1]. Especially, this absurdity of this can be seen when discretization trying, i.e. digitizing. About «every aspect of biological object duplicating, including consciousness» [2], using a computer consisting of standardized cells, may only speak from the level of «cells» of the body, which are standardized also. This is the equivalence principle was proposed by us [3]. In the McCulloch’s time of 70 years ago, in the brain as this cell type a neuron was postulated was completely groundless that does not reflect reality, as the neuron itself is a hyper-complex system, the complexity of which, as we have shown, may exceed the complexity of neural networks [4]. Therefore, for the «unified» brain cell must take finer education as having minimal individualized properties, such as an atom. Even if assuming «atomicity» computer for full playback properties of a brain (a consciousness as the top level inseparable from all the lower levels, so the information reproduced only with all lower levels), then quantity of computer cells must equal the quantity of brain atoms. It is known that 1 mole (12 g carbon) any substance contains the number of atoms equal to the Avogadro number, i.e. NA = 6,02 x 1023. This is about the same as the stars in the Universe – 1024! Although more strictly, unification can be achieved even not at the atomic level and even not the level of elementary particles, of which there are 807,430, and the list is open, but only to «the Higgs boson» level, i.e. at the level of the smallest universal elementary prime particles (if it exists!). That is, the quantity of cells required computer tends to infinity instantly. The study was supported by RFBR project № 04-06-80460, and RFH project № 04-03-00066a.

  1. Savel'ev A.V. Trudnoy problemy soznaniya net! // Sb. nauch. trudov yubileynogo simpoziuma, posvyashchennogo izdaniyu stat'i I.M. Sechenova «150 let «Refleksam golovnogo mozga». Otv. redaktory: A.Yu. Alekseev, Yu.Yu. Petrunin, A.V. Savel'ev, Ye.A. Yankovskaya. Izdatel'stvo M.: «IIntell». 2014. S. 168(182. 389 c.
  2. Endryu A.M. Iskusstvennyy intellekt: per. s angl. V.L. Stefanyuka / pod red. D.A. Pospelova. M.: Izdatel'stvo «Mir», 1985. S. 21. Seriya «V mire nauki i tekhniki». Aleks_M/_Endryu_A.M..html#001
  3. Savel'ev A.V. Rasshirenie ponyatiya neyrokomp'yutera i neyrokomp'yutinga / pod red. A.V. Savel'eva // Neyrokomp'yutery: razrabotka i primenenie. Nauchnye dostizheniya. 2013. № 7. S. 58-68.( =jr7&itm=2013-7.
  4. Savel'ev A.V. Na puti k obshchey teorii neyrosetey. K voprosu o slozhnosti // Neyrokomp'yutery: razrabotka i primenenie. 2006. № 4(5. S. 4(14.

May 29, 2020

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