Abstract

In terms of an approach that uses Fourier holography to construct exclusionary logics, an implementation of a cognitive mechanism is proposed for bringing new information into accordance with an internal pictorial world. It is shown that there is a phenomenon of oscillations between stereotypes recorded on the hologram and new information, caused by the resonance architecture of the holographic setup. This phenomenon is discussed as a particular case of the manifestation of the primacy of the stability of the internal world-picture that characterizes ordinary thinking. The factors are determined that influence the dynamics of the holographic system and the characteristics of a stable decision, analogous to the formation of tolerance. For holographic implementation of an analog of the scientific form of the world-view, a mechanism is needed that establishes an iterative process—for example, self-reflection. The results of numerical modelling are presented.

© 2014 Optical Society of America

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  1. M. M.  Miroshnikov, “Foreword from the editor of this issue,” Opt. Zh. 78, No. 12, 3 (2011) [J. Opt. Technol. 78, 765 (2011)].
  2. O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intell. Prin. Resh. No. 4, 32 (2012).
  3. V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, Reliable and Correct Inference in Intelligent Systems (Fizmatlit, Moscow, 2008).
  4. R.  Reiter, “A logic for default reasoning,” Artif. Intell. 13, 81 (1980).
    [CrossRef]
  5. S. V.  Astanin, T. G.  Kalashnikova, “Model of nonmonotonic reasoning based on fuzzy logic,” Izv. TRTU No. 2, 81 (2000).
  6. M. M.  Vin’kov, I. B.  Fominykh, “Nonmonotonic reasoning in dynamic intelligent systems,” Nov. Iskusst. Intell. No. 4, 12 (2005).
  7. S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives From Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).
  8. A. M.  Alekseev, A. M.  Konstantinov, A. V.  Pavlov, “Using Fourier holography to model the principle of imagery of thought,” Opt. Zh. 73, No. 9, 77 (2006) [J. Opt. Technol. 73, 640 (2006)].
  9. A. V.  Pavlov, “Mathematical models of optical methods of processing information,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 3, 111 (2000).
  10. A. V.  Pavlov, “On the algebraic bases of a holographic paradigm in artifical intelligence: the algebra of Fourier-dual operators,” in Transactions of the Fifth International Scientific–Practical Conference on Integrated Models and Soft Computations in Artificial Intelligence (Fizmatlit, Moscow, 2009), vol. 1, pp. 140–148.
  11. L.  Zade, “The concept of linguistic variable and its application to making approximate solutions,” in Mathematics. New in Foreign Science, No. 3, (Mir, Moscow, 1976).
  12. A. V.  Pavlov, Ya. Yu.  Shevchenko, “Implementing a logical conclusion on linguistic scales by the method of Fourier holography,” Opt. Zh. 71, No. 7, 44 (2004) [J. Opt. Technol. 71, 454 (2004)].
  13. G. N.  Borisyuk, R. M.  Borisyuk, Ya. B.  Kazanovich, G. R.  Ivanitskiĭ, “Models of neural dynamics in brain information processing—the developments of ‘the decade’,” Usp. Fiz. Nauk 172, 1189 (2002) [Phys.–Usp. 45, 1073 (2002)].
    [CrossRef]
  14. A. V.  Pavlov, “The algebra of Fourier-dual operations: exclusionary logic,” Iskusst. Intell. Prin. Resh. No. 3, 26 (2012).
  15. O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 5, 3 (1995).
  16. O. P.  Kuznetsov, “Fast processes of the brain and pattern processing,” Nov. Iskusst. Intell. No. 2 (1998).
  17. I. B.  Fominykh, “On the technology of solving creative problems,” in Collection of the Transactions of the Eighth National Conference on Artificial Intelligence KII-2002 (Fizmatlit, Moscow, 2002), vol. 1, pp. 519–526.

2012

O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intell. Prin. Resh. No. 4, 32 (2012).

A. V.  Pavlov, “The algebra of Fourier-dual operations: exclusionary logic,” Iskusst. Intell. Prin. Resh. No. 3, 26 (2012).

2011

M. M.  Miroshnikov, “Foreword from the editor of this issue,” Opt. Zh. 78, No. 12, 3 (2011) [J. Opt. Technol. 78, 765 (2011)].

2006

A. M.  Alekseev, A. M.  Konstantinov, A. V.  Pavlov, “Using Fourier holography to model the principle of imagery of thought,” Opt. Zh. 73, No. 9, 77 (2006) [J. Opt. Technol. 73, 640 (2006)].

2005

M. M.  Vin’kov, I. B.  Fominykh, “Nonmonotonic reasoning in dynamic intelligent systems,” Nov. Iskusst. Intell. No. 4, 12 (2005).

2004

A. V.  Pavlov, Ya. Yu.  Shevchenko, “Implementing a logical conclusion on linguistic scales by the method of Fourier holography,” Opt. Zh. 71, No. 7, 44 (2004) [J. Opt. Technol. 71, 454 (2004)].

2002

G. N.  Borisyuk, R. M.  Borisyuk, Ya. B.  Kazanovich, G. R.  Ivanitskiĭ, “Models of neural dynamics in brain information processing—the developments of ‘the decade’,” Usp. Fiz. Nauk 172, 1189 (2002) [Phys.–Usp. 45, 1073 (2002)].
[CrossRef]

2000

A. V.  Pavlov, “Mathematical models of optical methods of processing information,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 3, 111 (2000).

S. V.  Astanin, T. G.  Kalashnikova, “Model of nonmonotonic reasoning based on fuzzy logic,” Izv. TRTU No. 2, 81 (2000).

1998

O. P.  Kuznetsov, “Fast processes of the brain and pattern processing,” Nov. Iskusst. Intell. No. 2 (1998).

1995

O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 5, 3 (1995).

1980

R.  Reiter, “A logic for default reasoning,” Artif. Intell. 13, 81 (1980).
[CrossRef]

Alekseev, A. M.

A. M.  Alekseev, A. M.  Konstantinov, A. V.  Pavlov, “Using Fourier holography to model the principle of imagery of thought,” Opt. Zh. 73, No. 9, 77 (2006) [J. Opt. Technol. 73, 640 (2006)].

Astanin, S. V.

S. V.  Astanin, T. G.  Kalashnikova, “Model of nonmonotonic reasoning based on fuzzy logic,” Izv. TRTU No. 2, 81 (2000).

Borisyuk, G. N.

G. N.  Borisyuk, R. M.  Borisyuk, Ya. B.  Kazanovich, G. R.  Ivanitskiĭ, “Models of neural dynamics in brain information processing—the developments of ‘the decade’,” Usp. Fiz. Nauk 172, 1189 (2002) [Phys.–Usp. 45, 1073 (2002)].
[CrossRef]

Borisyuk, R. M.

G. N.  Borisyuk, R. M.  Borisyuk, Ya. B.  Kazanovich, G. R.  Ivanitskiĭ, “Models of neural dynamics in brain information processing—the developments of ‘the decade’,” Usp. Fiz. Nauk 172, 1189 (2002) [Phys.–Usp. 45, 1073 (2002)].
[CrossRef]

Deutsch, G.

S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives From Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).

Fomina, M. V.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, Reliable and Correct Inference in Intelligent Systems (Fizmatlit, Moscow, 2008).

Fominykh, I. B.

M. M.  Vin’kov, I. B.  Fominykh, “Nonmonotonic reasoning in dynamic intelligent systems,” Nov. Iskusst. Intell. No. 4, 12 (2005).

I. B.  Fominykh, “On the technology of solving creative problems,” in Collection of the Transactions of the Eighth National Conference on Artificial Intelligence KII-2002 (Fizmatlit, Moscow, 2002), vol. 1, pp. 519–526.

Golovina, E. Yu.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, Reliable and Correct Inference in Intelligent Systems (Fizmatlit, Moscow, 2008).

Ivanitskii, G. R.

G. N.  Borisyuk, R. M.  Borisyuk, Ya. B.  Kazanovich, G. R.  Ivanitskiĭ, “Models of neural dynamics in brain information processing—the developments of ‘the decade’,” Usp. Fiz. Nauk 172, 1189 (2002) [Phys.–Usp. 45, 1073 (2002)].
[CrossRef]

Kalashnikova, T. G.

S. V.  Astanin, T. G.  Kalashnikova, “Model of nonmonotonic reasoning based on fuzzy logic,” Izv. TRTU No. 2, 81 (2000).

Kazanovich, Ya. B.

G. N.  Borisyuk, R. M.  Borisyuk, Ya. B.  Kazanovich, G. R.  Ivanitskiĭ, “Models of neural dynamics in brain information processing—the developments of ‘the decade’,” Usp. Fiz. Nauk 172, 1189 (2002) [Phys.–Usp. 45, 1073 (2002)].
[CrossRef]

Konstantinov, A. M.

A. M.  Alekseev, A. M.  Konstantinov, A. V.  Pavlov, “Using Fourier holography to model the principle of imagery of thought,” Opt. Zh. 73, No. 9, 77 (2006) [J. Opt. Technol. 73, 640 (2006)].

Kuznetsov, O. P.

O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intell. Prin. Resh. No. 4, 32 (2012).

O. P.  Kuznetsov, “Fast processes of the brain and pattern processing,” Nov. Iskusst. Intell. No. 2 (1998).

O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 5, 3 (1995).

Miroshnikov, M. M.

M. M.  Miroshnikov, “Foreword from the editor of this issue,” Opt. Zh. 78, No. 12, 3 (2011) [J. Opt. Technol. 78, 765 (2011)].

Pavlov, A. V.

A. V.  Pavlov, “The algebra of Fourier-dual operations: exclusionary logic,” Iskusst. Intell. Prin. Resh. No. 3, 26 (2012).

A. M.  Alekseev, A. M.  Konstantinov, A. V.  Pavlov, “Using Fourier holography to model the principle of imagery of thought,” Opt. Zh. 73, No. 9, 77 (2006) [J. Opt. Technol. 73, 640 (2006)].

A. V.  Pavlov, Ya. Yu.  Shevchenko, “Implementing a logical conclusion on linguistic scales by the method of Fourier holography,” Opt. Zh. 71, No. 7, 44 (2004) [J. Opt. Technol. 71, 454 (2004)].

A. V.  Pavlov, “Mathematical models of optical methods of processing information,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 3, 111 (2000).

A. V.  Pavlov, “On the algebraic bases of a holographic paradigm in artifical intelligence: the algebra of Fourier-dual operators,” in Transactions of the Fifth International Scientific–Practical Conference on Integrated Models and Soft Computations in Artificial Intelligence (Fizmatlit, Moscow, 2009), vol. 1, pp. 140–148.

Reiter, R.

R.  Reiter, “A logic for default reasoning,” Artif. Intell. 13, 81 (1980).
[CrossRef]

Shevchenko, Ya. Yu.

A. V.  Pavlov, Ya. Yu.  Shevchenko, “Implementing a logical conclusion on linguistic scales by the method of Fourier holography,” Opt. Zh. 71, No. 7, 44 (2004) [J. Opt. Technol. 71, 454 (2004)].

Springer, S. P.

S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives From Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).

Vagin, V. N.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, Reliable and Correct Inference in Intelligent Systems (Fizmatlit, Moscow, 2008).

Vin’kov, M. M.

M. M.  Vin’kov, I. B.  Fominykh, “Nonmonotonic reasoning in dynamic intelligent systems,” Nov. Iskusst. Intell. No. 4, 12 (2005).

Zade, L.

L.  Zade, “The concept of linguistic variable and its application to making approximate solutions,” in Mathematics. New in Foreign Science, No. 3, (Mir, Moscow, 1976).

Zagoryanskaya, A. A.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, Reliable and Correct Inference in Intelligent Systems (Fizmatlit, Moscow, 2008).

Artif. Intell.

R.  Reiter, “A logic for default reasoning,” Artif. Intell. 13, 81 (1980).
[CrossRef]

Iskusst. Intell. Prin. Resh.

O. P.  Kuznetsov, “Cognitive semantics and artificial intelligence,” Iskusst. Intell. Prin. Resh. No. 4, 32 (2012).

A. V.  Pavlov, “The algebra of Fourier-dual operations: exclusionary logic,” Iskusst. Intell. Prin. Resh. No. 3, 26 (2012).

Izv. Akad. Nauk Ser. Teor. Sis. Uprav.

O. P.  Kuznetsov, “Nonclassical paradigms in AI,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 5, 3 (1995).

A. V.  Pavlov, “Mathematical models of optical methods of processing information,” Izv. Akad. Nauk Ser. Teor. Sis. Uprav. No. 3, 111 (2000).

Izv. TRTU

S. V.  Astanin, T. G.  Kalashnikova, “Model of nonmonotonic reasoning based on fuzzy logic,” Izv. TRTU No. 2, 81 (2000).

Nov. Iskusst. Intell.

M. M.  Vin’kov, I. B.  Fominykh, “Nonmonotonic reasoning in dynamic intelligent systems,” Nov. Iskusst. Intell. No. 4, 12 (2005).

O. P.  Kuznetsov, “Fast processes of the brain and pattern processing,” Nov. Iskusst. Intell. No. 2 (1998).

Opt. Zh.

A. V.  Pavlov, Ya. Yu.  Shevchenko, “Implementing a logical conclusion on linguistic scales by the method of Fourier holography,” Opt. Zh. 71, No. 7, 44 (2004) [J. Opt. Technol. 71, 454 (2004)].

M. M.  Miroshnikov, “Foreword from the editor of this issue,” Opt. Zh. 78, No. 12, 3 (2011) [J. Opt. Technol. 78, 765 (2011)].

A. M.  Alekseev, A. M.  Konstantinov, A. V.  Pavlov, “Using Fourier holography to model the principle of imagery of thought,” Opt. Zh. 73, No. 9, 77 (2006) [J. Opt. Technol. 73, 640 (2006)].

Usp. Fiz. Nauk

G. N.  Borisyuk, R. M.  Borisyuk, Ya. B.  Kazanovich, G. R.  Ivanitskiĭ, “Models of neural dynamics in brain information processing—the developments of ‘the decade’,” Usp. Fiz. Nauk 172, 1189 (2002) [Phys.–Usp. 45, 1073 (2002)].
[CrossRef]

Other

A. V.  Pavlov, “On the algebraic bases of a holographic paradigm in artifical intelligence: the algebra of Fourier-dual operators,” in Transactions of the Fifth International Scientific–Practical Conference on Integrated Models and Soft Computations in Artificial Intelligence (Fizmatlit, Moscow, 2009), vol. 1, pp. 140–148.

L.  Zade, “The concept of linguistic variable and its application to making approximate solutions,” in Mathematics. New in Foreign Science, No. 3, (Mir, Moscow, 1976).

I. B.  Fominykh, “On the technology of solving creative problems,” in Collection of the Transactions of the Eighth National Conference on Artificial Intelligence KII-2002 (Fizmatlit, Moscow, 2002), vol. 1, pp. 519–526.

V. N.  Vagin, E. Yu.  Golovina, A. A.  Zagoryanskaya, M. V.  Fomina, Reliable and Correct Inference in Intelligent Systems (Fizmatlit, Moscow, 2008).

S. P.  Springer, G.  Deutsch, Left Brain, Right Brain: Perspectives From Cognitive Neuroscience (W. H. Freeman, New York, 2001; Mir, Moscow, 1983).

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