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This study uses category theory to explain cognitive processes and the size and location of the Functional View Field (FVF). The FVF

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Area of Science:

  • Cognitive Science
  • Mathematical Psychology
  • Category Theory

Background:

  • Cognitive processes are understood through universal constructions.
  • The Functional View Field (FVF) is a key concept in understanding cognitive architecture.

Purpose of the Study:

  • To provide a mathematical, category theory-based account of the Functional View Field (FVF).
  • To explain the size and location of the FVF using universal constructions.

Main Methods:

  • Applied category theory principles to cognitive science.
  • Utilized universal constructions, specifically fibre (pullback) bundles, for analysis.

Main Results:

  • Demonstrated that FVF size and location can be derived from universal constructions.
  • Established a formal link between category theory and the spatial/dimensional aspects of the FVF.

Conclusions:

  • Category theory offers a robust framework for understanding cognitive architecture.
  • Universal constructions, like fibre bundles, are fundamental to the organization of cognitive processes and the FVF.