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On the Problem of Computability of Bounded Rationality Cognitive Solutions

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Abstract

Modern science has not made the world less mysterious, and future discoveries may be even more surprising than the conclusions of relativity or quantum mechanics, confirming the thesis of A. Clarke that “advanced technology is indistinguishable from magic”. In other words, with a certain level of technology development, an adequate understanding of them may require intellectual resources that exceed the capabilities of a single human, primarily for handling large amounts of information. What is it, how are cognitive processes defined and physically implemented in nature, how effectively can their technical simulation be implemented, and, finally, whether it is possible to build not just a supercomputer, but a superbrain for solving super tasks. These issues are currently at the forefront of current research in both natural and human sciences, as well as computer technology. In this chapter, the problem is considered in the aspect of finding solutions of “bounded rationality” that is, based on the regularization of solutions obtained using computable functions that are defined on a set of data taking into account certain specific or even personal cognitive biases.

Let’s not argue—let’s do the math.

J. L. Lagrange

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Acknowledgements

The authors are grateful to the Supercomputer Center ‘Polytechnic’ for the help in gaining access to the resources of the supercomputer. The reported study was funded by RFBR according to the research project №18-2903250 MK “Robust methods of synthesis of intelligent transport systems of cyber-physical objects coalition based on the Bayesian concept of probability and the modal logic”.

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Correspondence to Vladimir Zaborovskij .

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Zaborovskij, V., Polyanskiy, V., Popov, S. (2021). On the Problem of Computability of Bounded Rationality Cognitive Solutions. In: Kravets, A.G., Bolshakov, A.A., Shcherbakov, M. (eds) Society 5.0: Cyberspace for Advanced Human-Centered Society. Studies in Systems, Decision and Control, vol 333. Springer, Cham. https://doi.org/10.1007/978-3-030-63563-3_2

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  • DOI: https://doi.org/10.1007/978-3-030-63563-3_2

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