Towards Topological Mechanisms Underlying Experience Acquisition and Transmission in the Human Brain

  • Arturo Tozzi
  • James F. Peters
Regular Article


Experience is a process of awareness and mastery of facts or events, gained through actual observation or second-hand knowledge. Recent findings reinforce the idea that a naturalized epistemological approach is needed to further advance our understanding of the nervous mechanisms underlying experience. This essay is an effort to build a coherent topological-based framework able to elucidate particular aspects of experience, e.g., how it is acquired by a single individual, transmitted to others and collectively stored in form of general ideas. Taking into account concepts from neuroscience, algebraic topology and Richard Avenarius’ philosophical analytical approach, we provide a scheme which is cast in an empirically testable fashion. In particular, we emphasize the foremost role of variants of the Borsuk-Ulam theorem, which tells us that, when a pair of opposite (antipodal) points on a sphere are mapped onto a single point in Euclidean space, the projection provides a description of both antipodal points. These antipodes stand for nervous functions and activities of the brain correlated with the mechanisms of acquisition and transmission of experience.


Mind Brain Borsuk-ulam theorem Sensation 



The Authors would like to thank Chiara Russo Krauss and Thomas Feldges for commenting on an earlier version of this manuscript.

Compliance with Ethical Standards

Conflict of Interest

The Author Tozzi declares that he has no conflict of interest. The Author Peters declares that he/she has no conflict of interest.

Human Study

This article does not contain any studies with human participants or animals performed by any of the Authors.

Informed Consent

Not needed.


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Authors and Affiliations

  1. 1.Center for Nonlinear ScienceUniversity of North TexasDentonUSA
  2. 2.Computational Intelligence LaboratoryUniversity of ManitobaWinnipegCanada
  3. 3.Department of Electrical and Computer EngineeringUniversity of ManitobaWinnipegCanada
  4. 4.Department of MathematicsAdıyaman UniversityAdıyamanTurkey

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