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Physics of the Mind, Dynamic Logic, and Monotone Boolean functions

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Uncertainty Modeling

Part of the book series: Studies in Computational Intelligence ((SCI,volume 683))

Abstract

The chapter discusses physics of the mind, a mathematical theory of higher cognition developed from the first principles, including concepts, emotions, instincts, the knowledge instinct, and aesthetic emotions leading to understanding of the emotions of the beautiful. The chapter briefly discusses neurobiological grounds as well as difficulties encountered by previous attempts at mathematical modeling of the mind encountered since the 1950s. The mathematical descriptions are complemented with detailed conceptual discussions so the content of the chapter can be understood without necessarily following mathematical details. Formulation of dynamic logic in terms of monotone Boolean functions outlines a possible future direction of research.

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Notes

  1. 1.

    Mathematically, the condition that the object m is present with 100 % certainty, is expressed by normalization condition: \(\int \mathrm{l(X | m) dX = 1}\). We should also mention another normalization condition: \(\int \mathrm{l(X(n)) dX(n) = 1}\), which expresses the fact that, if a signal is received, some object or objects are present with 100 % certainty.

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Acknowledgements

It is my pleasure to thank people whose thoughts helped to develop ideas in this chapter, Moshe Bar, Boris Kovalerchuk, Evgeny Vityaev.

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  1. Psychology Department, Northeastern University, Boston, USA

    Leonid I. Perlovsky

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    Vladik Kreinovich

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Perlovsky, L.I. (2017). Physics of the Mind, Dynamic Logic, and Monotone Boolean functions. In: Kreinovich, V. (eds) Uncertainty Modeling. Studies in Computational Intelligence, vol 683. Springer, Cham. https://doi.org/10.1007/978-3-319-51052-1_13

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