Origin of Neural Firing and Synthesis in Making Comparisons

Authors

  • Thomas L. Saaty Department of Business Analytics and Operations, Joseph M. Katz Graduate School of Business, University of Pittsburgh, USA
  • Luis G. Vargas Department of Business Analytics and Operations, Joseph M. Katz Graduate School of Business, University of Pittsburgh, USA

Abstract

The nervous system uses its own kind of mathematical function patterns for both external and internal realities. The conscious part of the nervous system is there to respond to what happens outside by regulating externally received information signals from the senses and the skin and muscles of the body itself. To do that, it needs to communicate with its subconscious using the familiar language of neural ï¬ring. In this paper, we show that because reciprocal pairwise comparisons are performed at the neural level, the division algebra of the octonions, in which commutativity and associativity are not satisï¬ed, provides the structure needed to represent mental processes and that these processes could be represented in G2-manifolds.

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Published

2017-07-11

Issue

Vol. 10 No. 4: (July 2017)

Section

Number Theory

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How to Cite

Origin of Neural Firing and Synthesis in Making Comparisons. (2017). European Journal of Pure and Applied Mathematics, 10(4), 602-613. https://www.ejpam.com/index.php/ejpam/article/view/3074