Understanding cognition via category theory
Student Number
16580
Degree
Master of Science in Mathematics
Department
Department of Mathematical Sciences
Faculty/School
School of Mathematics and Computer Science (SMCS)
Date of Award
Fall 2025
Advisor
Dr. Danish Ali, Assistant Professor, Department of Mathematical Sciences, School of Mathematics and Computer Science (SMCS)
Committee Member 1
Dr. Usman Ali (CASPAM Bahauddin Zakariya University Multan)
Project Type
Thesis
Access Type
Restricted Access
Document Version
Final
Pages
viii, 49
Keywords
Cognition, Category Theory, Systematicity, Raven’s Progressive Matrices, Functor, Natural Transformation, Adjunction, Diagonal Product Adjunction, Free-Forgetful Adjunction
Abstract
This thesis integrates two fields: category theory and cognitive science. Reviews a framework that employs category theory to explore how mathematics can be applied to cognitive functions. The focus lies on comparing category theory with cognitive science and understanding systematicity within this framework. The study aims to demonstrate the interconnectedness of cognitive functions. Specifically, it examines how the existence of functors between these functions suggests a coordinated approach to processing information, thereby contributing to systematicity.
Recommended Citation
Fazal, N. (2025). Understanding cognition via category theory (Unpublished graduate thesis). Retrieved from https://ir.iba.edu.pk/etd-ms-math/4
