ePoster, Neuromatch 5 2022
Parallels between Intuitionistic Mathematics and Neurophenomenology
- Virtual (online)
- DOI 10.57736/nmc-3c35-a53a (opens in a new tab)
- Mathematics, Cognition and
Presentation
Abstract
What are the parallels between Intuitionistic Mathematics and Neurophenomenology, and their implications for how we conceptualize Computation? Inspired by AA Cavia’s recently published ‘Logiciel’ and work with the OREL Cognition Futures Reading Group, I hope to connect these foundational innovations in Mathematics and Cognitive Science to show a path toward an intentional, ethical, and suitably complex computational future.
First an historical survey of the development of the two fields from the perspective of their initiators, LEJ Brouwer and Francisco Varela. Then a folding in of advancements beyond their founders, Martin-Löf and Homotopy Type Theory in the case of Intuitionism and the many facets and implementations of the enactive approach at work today for Neurophenomenology. Finally, some musings on a combined research program and what fruits it may bring.
Topics
- Intuitionistic Mathematics, broader topic: mathematics
- Neurophenomenology, search World Wide
- LEJ Brouwer, search World Wide
- Francisco Varela, search World Wide
- Logiciel, search World Wide
- OREL Cognition Futures Reading Group, search World Wide
- Martin-Löf, search World Wide
- homotopy type theory
- enactive approach, search World Wide
- computational future, search World Wide
Details
- Citation
- Brian McCorkle (2022). Parallels between Intuitionistic Mathematics and Neurophenomenology. Neuromatch 5 2022. https://doi.org/10.57736/nmc-3c35-a53a (opens in a new tab)