Cognitive Systems:  A Brief Overview

Cognition occurs in the brain. that is within a network of neurons, axons, and synapses. Consequently, any study of cognition must be network based. We would assert that closure concepts offer the best mechanism for studying the behaviors of such networks. Earlier work has examined processes in other kinds of networks, especially social networks. Much of this work is equally applicable to neural networks and references to is is repeated here.
We have an interest in the role of continuity in cognitive development and learning.
There are many cognitive psychologists who have similar interests. Even though few are mathematically grounded, many have penetrating insight that should not be ignored. Some of the works that we have found to be valuable are:
  • Michael Cole, Vera John-Steiner, Sylvia Scribner, Ellen Souberman, Mind in Society, Harvard, Univ. Press, 1978
  • [P15a] J.L. Pfaltz, The Role of Continuous Processes in Cognitive Development Mathematics for Applications , Vol. 4, (2015) 61-76
  • [P15b] J.L. Pfaltz, Continuous Functions Over Discrete Partial Orders Mathematics for Applications , Vol. 4, (2015) 61-76
  • [P16] J.L. Pfaltz, Using Closed Sets to Model Cognitive Behavior Proc. Australian Conf. on Artificial Life and Computational Intelligence (ACALCI 2016) , LNCS 9592, 13-26, Camberra, ACT

  • More recently, we have turned our attention to the role of network structures in long-term memory (LTM) as well. Since cognitiveconcepts and eposidic events are constructs of the neural network comprising our brain, one would expect that stored memories would also be in the form of a network.
  • [P17] J.L. Pfaltz, Computational Processes that Appear to Model Human Memory Proc. 4th International Conf.,Algorithms for Computational Biology (AlCoB 2017) , LNBI 10252 (2017), 85-99 Aveiro, Portugal
  • [P17a] J.L. Pfaltz, The Shape of Long-term Memory (to appear)