2019 №2 (63) Article 16
G.A. Sheroziya, M. G. Sheroziya
ARTIFICIAL INTELLIGENCE AND SOME ASPECTS OF HUMAN THINKING WHEN SOLVING NON-COMPUTABLE PROBLEMS
UDC 519.95
The article compares the hypothesis of Strong Artificial Intelligence, which states that all aspects of human intellect can be reproduced with the help of direct programming, and the hypothesis of Weak Artificial Intelligence, which maintains that it is basically impossible to reproduce human creativity and the ability of a person to create and discover new information using direct programming.
The article provides evidence to support the hypothesis of Weak Artificial Intelligence. The proofs are formulated as theorems and are based on information theory, complexity theory, and the theory of non-computable problems. The authors often resort to the notion of non-computable problems which cannot be solved on the basis of a limited algorithm.
The authors underline the difference between Kolmogorov’s and Shannon’s approaches to information. Shannon’s formulas enable one to determine potential information capacity of a signal or text, but fail to define their real semantic content. Kolmogorov’s approach to information focuses on the estimation of information capacity and the solution of non-computable problems.
Therefore, unlike Shannon’s approach, Kolmogorov’s approach to information is associated with human thinking and enables one to employ mathematical principles to explain some peculiarities of human thinking.
The article shows that new information appears only under experimental conditions or when non-computable problems are solved. Algorithmic processing of information does not create new information.
The authors conclude that artificial intelligence which is creative and capable of generating new information cannot be created through direct programming and is a non-computable problem itself.
artificial intelligence; programming; algorithm; information; Kolmogorov’s approach; Shannon’s approach
REFERENCES
- Russell S. J., Norvig P. Instructorʼs Manual: Exercise Solutions for Artificial Intelligence A Modern Approach. Ed. 2. New Jersye, 2003.
- Penrose R., Lukas J. Shadows of the Mind: An Approach to the Missing Science of Consciousness. Oxford, Oxford University Press, 1994.
- Markram Н. The Blue Brain Project. Nature Peviews Neuroscience. 2006, vol. 7, pp. 153–160.
- Frue J. Rajagopal Ananthanarayanan, and Dharmendra S. Modha “Towards real — time, mouse — scale cortical simulations”. CoSyNc: Computational and Systems Neuroscience. Salt Lake City (Utah), 2007, Feb. 22–25 [Also appears as IBM Reserch Report RJ 10404 (PDF, 87 KB), 2/5/2007].
- Sheroziya G. A., Sheroziya M. G. Chelovecheskij razum, rozhdennyj v setyakh iskusstvennykh logicheskikh ehlementov — vvedenie v proekt sozdaniya novogo cheloveka [The Human Mind Originating from Networks of Artificial Logical Elements — Introduction into the Project of Creating the New Man]. Ryazan, Priz Publ., 2013, 280 p. (In Russian).
- Shannon С. Е. A Mathematical Theory of Communication. Bell Syst. Techn. Joum. 1948, vol. 27, pp. 379–423, 623–656.
- Kolmogorov A. N. Three Approaches to the Definition of the “Amount of Information”. Problemy peredachi informatsii [Problems of Information Transmission]. 1965, vol. 1, iss. 1, pp. 3–11.
- Brillouin L. Science and Information Theory. N. Y., Academic press inc. Publishers, 1956.
- Vereshchagin N. K., Uspensky V. A., Shen A. Kolmogorovskaya slozhnost’ i algoritmicheskaya sluchajnost’ [The Kolmogorov Complexity and Algorithmic Randomness]. Moscow, MTSNMO Publ., 2013, 576 p.
- Korogodin V. I., Korogodina V. L. Informatsiya kak osnova zhizni [Information as the Basis of Life]. Dubna, Phoenix Publ., 208 p.