It looks like you're new here. If you want to get involved, click one of these buttons!

- All Categories 2.2K
- Applied Category Theory Course 347
- Applied Category Theory Seminar 2
- Exercises 149
- Discussion Groups 48
- How to Use MathJax 15
- Chat 475
- Azimuth Code Project 108
- News and Information 145
- Azimuth Blog 148
- Azimuth Forum 29
- Azimuth Project 190
- - Strategy 109
- - Conventions and Policies 21
- - Questions 43
- Azimuth Wiki 708
- - Latest Changes 700
- - - Action 14
- - - Biodiversity 8
- - - Books 2
- - - Carbon 9
- - - Computational methods 38
- - - Climate 53
- - - Earth science 23
- - - Ecology 43
- - - Energy 29
- - - Experiments 30
- - - Geoengineering 0
- - - Mathematical methods 69
- - - Meta 9
- - - Methodology 16
- - - Natural resources 7
- - - Oceans 4
- - - Organizations 34
- - - People 6
- - - Publishing 4
- - - Reports 3
- - - Software 20
- - - Statistical methods 2
- - - Sustainability 4
- - - Things to do 2
- - - Visualisation 1
- General 39

Options

Hi all! A few years ago I did Part III at Cambridge where I took several category theory courses and wrote an essay on fibered categories. Despite all of this I never "felt it in my bones" the way I feel about other branches of mathematics. In this course, I'm hoping to gain more intuition about category theory and learn about how it can apply to real world relationships, e.g. the relationship between a branch and a tree or between all things that are the color yellow. While researching for my essay I stumbled upon the definitions of stuff, structure, and properties via category theory. They were beautiful and got to the heart of my intuition about these terms. I wonder how far this analogy can be pushed towards real-world stuff, structure, and properties.

Since Cambridge, I have been teaching middle school computer science but am leaving to start my PhD in math next fall!

## Comments

Hello, Sophie! Good luck on your math PhD- do you know where you'll be doing it?

My friend and coauthor James Dolan was responsible for clarifying the trinity of stuff, structure and properties, and in particular giving the term "stuff" a precise definition. I popularized this and I'm glad to see to see it's now on the nLab making people happy. I'm not sure "stuff" (matter) in the real world comes before structure and properties, though Aristotle seemed to have some ideas like this.

`Hello, Sophie! Good luck on your math PhD- do you know where you'll be doing it? My friend and coauthor James Dolan was responsible for clarifying the trinity of stuff, structure and properties, and in particular giving the term "stuff" a precise definition. I popularized this and I'm glad to see to see it's now on the nLab making people happy. I'm not sure "stuff" (matter) in the real world comes before structure and properties, though Aristotle seemed to have some ideas like this.`

Hi John! Sorry for being slow to respond. I caught up on the course during the hiatus and am excited to dive into Chapter 2. To answer your question, I'll be starting at Stanford next fall!

`Hi John! Sorry for being slow to respond. I caught up on the course during the hiatus and am excited to dive into Chapter 2. To answer your question, I'll be starting at Stanford next fall!`

Great! I'm sure you'll be plenty busy at Stanford, but you may enjoy meeting Evan Patterson, who is in the statistics department there and also taking this course. He's done some nice work on applied category theory, and he gave a talk about it down here at U.C. Riverside.

`Great! I'm sure you'll be plenty busy at Stanford, but you may enjoy meeting [Evan Patterson](https://forum.azimuthproject.org/discussion/1829/introduction-evan-patterson/p1), who is in the statistics department there and also taking this course. He's done some nice work on applied category theory, and he gave a [talk about it](http://math.ucr.edu/home/baez/ACT2017/) down here at U.C. Riverside.`