It is a common phenomenon that cateogegory theorists contemplate on the deep roots of thought, mind andconsciousness. This repository collects research in this area.
- Johannes Kleiner and Sean Tull (2020): The Mathematical Structure of Integrated Information Theory
- Camilo Miguel Signorelli, Quanlong Wang, Bob Coecke (2021): Reasoning about conscious experience with axiomatic and graphical mathematics
- CyberCats institute
- Jerry Swan, Eric Nivel, Neel Kant, Jules Hedges, Timothy Atkinson, Bas Steunebrink (2022): The Road to General Intelligence
- Toby St Clere Smithe (2023): Mathematical Foundations for a Compositional Account of the Bayesian Brain
Joseph Goguen was the founder and editor of the Journal of Consciousness Studies.
- Jopseph Goguen (1989): A categorical manifesto
- Rod Burstall (2006): My Friend Joseph Goguen
- Joseph Goguen (1998): An Introduction to Algebraic Semiotics, with Application to User Interface Design
- Joseph Goguen and Francisco Varela (1979): Systems and Distinctions: Duality and Compementarity
- Joseph Goguen (1997): Tossing Algebraic Flowers down the Great Divide
- Goguen on conceptual blending
- Marco Schorlemmer, Roberto Confalonieri, Enric Plaza (2016): The Yoneda Path to the Buddhist Monk Blend
- Marco Schorlemmer, Enric Plaza (2021): A uniform model of computational conceptual blending
- Gilles Fauconnier, Mark Turner (2002): The Way We Think: Conceptual Blending And The Mind's Hidden Complexities
- Robert Rosen (1972): Some relational cell models: The metabolism-repair systems
- A. H. Louie, relational biology
- Tatsuya Nomura (2007): Category Theoretical Distinction Between Autopoiesis and (M,R) Systems
- Franck Varenne (2013): The Mathematical Theory of Categories in Biology and the Concept of Natural Equivalence in Robert Rosen - Historical Overview
- Francisco Varela (1979): Principles of Biological Autonomy
- Principles of Biological Autonomy contains the joint work with Goguen. cf. Louis H. Kauffman (2017): Mathematical Work of Francisco Varela
- Francisco J. Varela, Eleanor Rosch and Evan Thompson (1991) The Embodied Mind Cognitive Science and Human Experience
- Posina (2020) Hard, Harder, and the Hardest Problem: The Society of Cognitive Selves
- Venkata Rayudu Posina, Dhanjoo N. Ghista and Sisir Roy (2017): Functorial Semantics for the Advancement of the Science of Cognition
- Posina, Sisir Roy (2018): Category Theory and the Ontology of Sunyata
- Sisir Roy (2017): Buddhist Thought on Emptiness and Category Theory
- A C Ehresmann, J.P. Vanbremeersch (2007): Memory Evolutive Systems; Hierarchy, Emergence, Cognition
- A C Ehresmann, J.P. Vanbremeersch (2012): MENS, a mathematical model for cognitive systems
- Discussion by Subset of Theoretical Practice on MENS
- Thomas Roth (2018): On Domain Unifying Categorical Kinds - The Formation of a Psychophysical Algebra
- Graeme S. Halford, William H. Wilson, Glenda Andrews, Steven Phillips (2014): Categorizing Cognition: Toward Conceptual Coherence in the Foundations of Psychology
- Steven Phillips (2020): Sheaving—a universal construction for semantic compositionality
- Steven Phillips (2020): Feature: Category theory Invited Paper A category theory principle for cognitive science: cognition as universal construction
- Steven Phillips and William H. Wilson (2010): A Category Theory Explanation for Systematicity
- Graeme S.Halford and William H.Wilson (1980): A category theory approach to cognitive development
- Macnamara and Reyes (1994): The Logical Foundations of Cognition
- Davidson P.M. (1988): Piaget’s Category-Theoretic Interpretation of Cognitive Development: A Neglected Contribution
- Jean Piaget (1992): Morphisms and Categories: Comparing and Transforming
- Michael Chapman (1988): Constructive Evolution Origins and Development of Piaget's Thought
- Jean Piaget (1980): Recherches sur les correspondances
- Ed Dubinsky (1991): Constructive Aspects of Reflective Abstraction in Advanced Mathematics
- Ed Dubinsky (2002): Reflective Abstraction in Advanced Mathematical Thinking
- Naotsugu Tsuchiya, Hayato Saigo (2021): A relational approach to consciousness: categories of level and contents of consciousness
- Jaime Gómez-Ramirez (2013): The Categorical Imperative: Category Theory in Cognitive and Brain Science
- Ellermann (2015): On Adjoint and Brain Functors
- Gordon Pask (1978): Consciousness
- Saunders Maclane (1992): The Protean Character of Mathematics
- George Lakoff (1987): Women Fire and Dangerous Things
- Lakoff acknowleges conversations with Maclane.
- Gilles Fauconnier and Mark Turner (2004): The Way We Think:
Conceptual Blending and the Mind's Hidden Complexities
- Goguen builds on the theory of conceptual blending in algebraic semiotics
- Popoff, A (2020): Transformational Music Theory (18): binary relations, relational presheaves
- Scott Garrabrant (2020): Introduction to Cartesian Frames
Mathematically, Cartesian frames are exactly Chu spaces. I give them a new name because of my specific interpretation about agency, which also highlights different mathematical questions.
- Association for Mathematical Consciousness Science (AMCS)
- The collected works of F. W. Lawvere
- Nicholas Kluge Corrêa: Axiomatic methods: Lawvere's mathematical interpretation of Hegel's logic