Hodges' Model: Welcome to the QUAD: associativity

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Showing posts with label associativity. Show all posts
Showing posts with label associativity. Show all posts

Wednesday, September 23, 2026

'Compositionality' - Journal

'Compositionality is a diamond open-access journal for research using compositional ideas, most notably of a category-theoretic origin, in any discipline. Compositionality describes and quantifies how complex things can be assembled out of simpler parts. Topics may concern foundational structures, an organizing principle, or a powerful tool. Example areas include but are not limited to: mathematics, computation, logic, physics, chemistry, engineering, linguistics, and cognition.

Compositionality is free of cost for both readers and authors (diamond open access). You can find our editorial policies here. Our first issue was published, under ISSN 2631-4444, in December 2019.'

Continued ... 

Friday, December 15, 2023

Person to object: Surely you're joking* ...!

 INDIVIDUAL
  |
     INTERPERSONAL    :     SCIENCES               
HUMANISTIC --------------------------------------  MECHANISTIC      
SOCIOLOGY  :   POLITICAL 
|
GROUP

identity

person

choice


identity

person, age

integer


people

father - mother

election

voting age
 


By @Eyesomorphic - https://www.youtube.com/@Eyesomorphic 

"A gentle introduction to the study of Category Theory and Abstract Algebra, done from the ground-up by exploring the mathematical weapon of abstraction. This video aims to give an overview of the fundamental tool at the forefront of pure mathematical research: abstraction. By seeing this tool in various contexts, and how it allows us to encounter Category Theory in a natural and intuitive manner, we'll see how beautiful the abstract can really be."

  ― Timestamps ― 
 0:00 - Intro 
1:49 - Abstraction and Algebra 
7:30 - Examples of Abstraction 
8:49 - Set Theory 
13:25 - Category Theory 
21:16 - Outro 
― Credits ―
All animation and voiceover created by Eyesomorphic. Background music: 'Abstraction', composed by Caleb Peppiatt.

― Further Reading ―
Category Theory for Programmers: The Preface, by Bartosz Milewski: https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/

Category Theory for Computing Science, by Michael Barr & Charles Wells (Book)

 *Person to object - and back again - assuring and preserving the humanistic.