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 354
- Applied Category Theory Seminar 4
- Exercises 149
- Discussion Groups 49
- How to Use MathJax 15
- Chat 480
- Azimuth Code Project 108
- News and Information 145
- Azimuth Blog 149
- Azimuth Forum 29
- Azimuth Project 189
- - Strategy 108
- - Conventions and Policies 21
- - Questions 43
- Azimuth Wiki 711
- - Latest Changes 701
- - - 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 21
- - - Statistical methods 2
- - - Sustainability 4
- - - Things to do 2
- - - Visualisation 1
- General 39

Options

## Comments

Welcome, Ignacio! What sort of math did you do your Ph.D. on?

My lectures are meant to be very easy: no hard proofs, lots of examples, lots of explanation of key ideas. I suggest starting with Lecture 1 and moving on, using the "Syllabus" link at the top of this page.

We've been talking about preorders, which are categories with at most one morphism from one object to another. Today is my second lecture on categories.

`Welcome, Ignacio! What sort of math did you do your Ph.D. on? My lectures are meant to be very easy: no hard proofs, lots of examples, lots of explanation of key ideas. I suggest starting with Lecture 1 and moving on, using the "Syllabus" link at the top of this page. We've been talking about preorders, which are categories with at most one morphism from one object to another. Today is my second lecture on categories.`

Thanks John! My dissertation is called "Coalgebras on Measure Spaces", and it´s about (kind of) the logic of measurable spaces. But before, and after that, I did work in lattices (as posets) with additional operations, related to logic (boolean, three-valued Lukasiewicz, Heyting, Nelson algebras). I will try to contribute as best I can and catch up.

`Thanks John! My dissertation is called "Coalgebras on Measure Spaces", and it´s about (kind of) the logic of measurable spaces. But before, and after that, I did work in lattices (as posets) with additional operations, related to logic (boolean, three-valued Lukasiewicz, Heyting, Nelson algebras). I will try to contribute as best I can and catch up.`

Thank you for sharing your thesis Ignacio!

I am very interested in logic related to probability measures.

Could you point me at any axiomatizations and computational complexity results for logics over measures like you describe in Chapter 4?

`Thank you for sharing your thesis Ignacio! I am very interested in logic related to probability measures. Could you point me at any axiomatizations and computational complexity results for logics over measures like you describe in Chapter 4?`

Here´s a good paper by Goldblatt on that: https://pdfs.semanticscholar.org/e5bd/3f04504fe2ec620c3790911974ca3b6026e0.pdf

`Here´s a good paper by Goldblatt on that: https://pdfs.semanticscholar.org/e5bd/3f04504fe2ec620c3790911974ca3b6026e0.pdf`

This is a great paper, thank you Ignacio!

`This is a great paper, thank you Ignacio!`

Given your expertise I think you'll have a pretty easy time with the section on preorders, Ignacio! If you wanted to start the course late, you picked the perfect thesis topic! You probably had it all planned out.

`Given your expertise I think you'll have a pretty easy time with the section on preorders, Ignacio! If you wanted to start the course late, you picked the perfect thesis topic! You probably had it all planned out. <img src = "http://math.ucr.edu/home/baez/emoticons/tongue2.gif">`