Switch to: References

Citations of:

On Adjoint and Brain Functors

Axiomathes 26 (1):41-61 (2016)

Add citations

You must login to add citations.
  1. Brain functors: A mathematical model for intentional perception and action.David Ellerman - 2016 - Brain: Broad Research in Artificial Intelligence and Neuroscience 7 (1):5-17.
    Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunctions being the primary lens. If adjunctions are so important in mathematics, then perhaps they will isolate concepts of some importance in the empirical sciences. But the applications of adjunctions have been hampered by an overly restrictive formulation that avoids heteromorphisms or hets. By reformulating an adjunction using hets, it is split into two parts, a left and a right semiadjunction. Semiadjunctions (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The homunculus brain and categorical logic.Steve Awodey & Michał Heller - 2020 - Philosophical Problems in Science 69:253-280.
    The interaction between syntax and its semantics is one which has been well studied in categorical logic. The results of this particular study are employed to understand how the brain is able to create meanings. To emphasize the toy character of the proposed model, we prefer to speak of the homunculus brain rather than the brain per se. The homunculus brain consists of neurons, each of which is modeled by a category, and axons between neurons, which are modeled by functors (...)
    Download  
     
    Export citation  
     
    Bookmark