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Learning and Transition of Symbols: Towards a Dynamical Model of a Symbolic Individual

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Emergence of Communication and Language

Abstract

The remarkable feature of linguistic communications is the use of symbols for transmitting information and mutual understanding. Deacon (1997) pointed out that humans are symbolic species, namely, we show symbolic cognitive activities such as learning, formation, and manipulation of symbols. In research into the origin and the evolution of language, we should elucidate the emerging process of such symbolic cognitive activities.

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Notes

  1. 1.

    Note that using a connectionist model does not necessarily mean that no symbolic element is involved. For example, in the simple recurrent network introduced by Elman (1995), sequences of words which are discrete representations are fed to the network as inputs.

  2. 2.

    In Harnad’s original article (1990), the term “shape” is used. We reword this as “form” for clarification.

  3. 3.

    An attractor ruin is a region in a state space of a dynamical system, in which an orbit stays for a while like an attractor, but does not stay forever, and escapes from there.

  4. 4.

    Because of the discretisation of the time variable, the model is represented by difference equations, that is, maps, while the original Hopfield model is represented by differential equations.

  5. 5.

    Refer to Nozawa (1992) for the detailed derivation from the Hopfield model.

  6. 6.

    As described later, the parameters T ii , I i , r and β are chosen for the system to show chaotic behaviour and T ij is determined to store some memory patterns in the system.

References

  • Adachi, M., Aihara, K.: Associative dynamics in a chaotic neural network. Neural Networks 10 (1997) 83–98

    Article  Google Scholar 

  • Aihara, K., Matsumoto, G.: Chaotic oscillations and bifurcations in squid giant axons. In Holden, A.V., ed.: Chaos. Princeton University Press (1986) 257–269

    Google Scholar 

  • Cangelosi, A., Parisi, D., eds.: Simulating the Evolution of Language. Springer (2002)

    Google Scholar 

  • Deacon, T.: The Symbolic Species: The Co-Evolution of Language and the Brain. W W Norton (1997)

    Google Scholar 

  • Elman, J.L.: Language as a dynamical system. In Port, R., van Gelder, T., eds.: Mind as Motion: Dynamical Perspectives on Behavior and Cognition. MIT Press (1995) 195–225

    Google Scholar 

  • Freeman, W.J.: Simulation of chaotic EEG patterns with a dynamic model of the olfactory system. Biological Cybernetics 56 (1987) 139–150

    Article  Google Scholar 

  • Harnad, S.: The symbol grounding problem. Physica D 42 (1990) 335–346

    Article  Google Scholar 

  • Hashimoto, T.: The constructive approach to the dynamical view of language. In Cangelosi, A., Parisi, D., eds.: Simulating the Evolution of Language. Springer (2002) 307–324

    Google Scholar 

  • Hashimoto, T.: Language as dynamics, – a computational study of ontogenetic and glossogenetic loop. In Hurford, J.R., Fitch, T., eds.: Fourth International Conference on the Evolution of Language – Proceedings. (2002)

    Google Scholar 

  • Hopfield, J.J.: Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA 81 (1984) 3088–3092

    Article  Google Scholar 

  • Kaneko, K., Tsuda, I.: Chaotic itinerancy. Chaos 13(3) (2003) 926–936

    MathSciNet  MATH  Google Scholar 

  • Kirby, S.: Learning, bottlenecks and evolution of recursive syntax. In Briscoe, T., ed.: Linguistic Evolution through Language Acquisition. Cambridge University Press (2002) 173–203

    Google Scholar 

  • Kirby, S., Hurford, J.R.: The emergence of linguistic structure: an overview of the iterated learning model. In Cangelosi, A., Parisi, D., eds.: Simulating the Evolution of Language. Springer (2002) 121–147

    Google Scholar 

  • Matsuo, N., Nozawa, H.: Coupled maps and nonlinear optimization (in japanese). In: Proceedings of The Institute of Electrical Engineers of Japan (IEEJ). Volume IP-97-3. (1997)

    Google Scholar 

  • Nozawa, H.: A neural network model as a globally coupled map and applications based on chaos. Chaos 2(3) (1992) 377–386

    Article  MathSciNet  MATH  Google Scholar 

  • Skarda, C.A., Freeman, W.J.: How brains make chaos in order to make sense of the world. Behavioral and Brain Sciences 10 (1987) 161–195

    Article  Google Scholar 

  • Tsuda, I.: Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems. Behavioral and Brain Sciences 24(5) (2001) 793–847

    Article  Google Scholar 

  • van Gelder, T., Port, R., eds.: Mind as Motion: Dynamical Perspectives on Behavior and Cognition. MIT Press (1995)

    Google Scholar 

  • van Gelder, T.: The dynamical hypothesis in cognitive science. Brain and Behavioural Sciences 10 (1998) 615–665

    Google Scholar 

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Hashimoto, T., Masumi, A. (2007). Learning and Transition of Symbols: Towards a Dynamical Model of a Symbolic Individual. In: Lyon, C., Nehaniv, C.L., Cangelosi, A. (eds) Emergence of Communication and Language. Springer, London. https://doi.org/10.1007/978-1-84628-779-4_11

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  • DOI: https://doi.org/10.1007/978-1-84628-779-4_11

  • Publisher Name: Springer, London

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