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{ "id": "01a0878c-183b-7241-9238-20d8084e39ed", "title": "Focusing and Ends", "url": "https://jcreedcmu.github.io/posts/2018-07-29/", "published_at": "2018-07-29T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d8089151d4", "title": "Two Warping Operations", "url": "https://jcreedcmu.github.io/posts/2018-07-22/", "published_at": "2018-07-22T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d8097a0e74", "title": "Action/Proposition Logic", "url": "https://jcreedcmu.github.io/posts/2018-07-15/", "published_at": "2018-07-15T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d809e86a3b", "title": "Towards a Judgmental Reconstruction of Dynamic Logic", "url": "https://jcreedcmu.github.io/posts/2018-07-08/", "published_at": "2018-07-08T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80a70af97", "title": "Focusing and Category Variables", "url": "https://jcreedcmu.github.io/posts/2018-07-01/", "published_at": "2018-07-01T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80aac5e41", "title": "Cache Types", "url": "https://jcreedcmu.github.io/posts/2018-06-24/", "published_at": "2018-06-24T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80b155f7d", "title": "Feeling the Yoneda Lemma in my Guts", "url": "https://jcreedcmu.github.io/posts/2018-06-17/", "published_at": "2018-06-17T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80bb81fd2", "title": "Creative Annealing", "url": "https://jcreedcmu.github.io/posts/2018-06-10/", "published_at": "2018-06-10T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80c09d62c", "title": "Focusing Dissection of Exponentials In Presheaf Categories", "url": "https://jcreedcmu.github.io/posts/2018-06-03/", "published_at": "2018-06-03T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80c76f505", "title": "Depending on Category Variables, Dependently", "url": "https://jcreedcmu.github.io/posts/2018-05-27/", "published_at": "2018-05-27T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80c88b5c7", "title": "Depending on Category Variables", "url": "https://jcreedcmu.github.io/posts/2018-05-20/", "published_at": "2018-05-20T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80d14be01", "title": "Slices of Presheaf Categories", "url": "https://jcreedcmu.github.io/posts/2018-05-13/", "published_at": "2018-05-13T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80e03bd55", "title": "Everything I've Learned About Logic in the Last Decade or So, Part 4", "url": "https://jcreedcmu.github.io/posts/2018-05-06/", "published_at": "2018-05-06T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80e31871a", "title": "Everything I've Learned About Logic in the Last Decade or So, Part 3", "url": "https://jcreedcmu.github.io/posts/2018-04-29/", "published_at": "2018-04-29T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80ea460ad", "title": "Everything I've Learned About Logic in the Last Decade or So, Part 2", "url": "https://jcreedcmu.github.io/posts/2018-04-22/", "published_at": "2018-04-22T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80f77b25b", "title": "Everything I've Learned About Logic in the Last Decade or So, Part 1", "url": "https://jcreedcmu.github.io/posts/2018-04-15/", "published_at": "2018-04-15T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80f9a0a10", "title": "Wellen's Synthetic Differential Geometry", "url": "https://jcreedcmu.github.io/posts/2018-04-08/", "published_at": "2018-04-08T00:00:00+00:00" }, { "id": "01a0878c-183b-7241-9238-20d80fabdfc2", "title": "Doing $k$-means with intermediate points", "url": "https://jcreedcmu.github.io/posts/2018-04-01/", "published_at": "2018-04-01T00:00:00+00:00" } ] posts Claim your blog

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2026

A Small Modal Type Theory for Internal Parametricity original ↗

11 Jul 2026

More Tiny Thoughts original ↗

20 Jun 2026

One More Type in the Tiny Type Theory original ↗

14 Jun 2026

A Simpler Proof-Irrelevant Tiny Object original ↗

13 Jun 2026

A Proof-Irrelevant Tiny Object original ↗

9 May 2026

More Graph Geometry original ↗

12 Feb 2026

recipe original ↗

6 Feb 2026

Graph Geometry original ↗

17 Jan 2026

2025

Thinking About Opetopes original ↗

13 Sept 2025

More Thoughts on Braids original ↗

16 Aug 2025

Another Parametricity Construction original ↗

13 Jun 2025

Typed Geometry original ↗

12 Jun 2025

Parametricity via Parametricity original ↗

13 Mar 2025

An Imperfect Graph Representation original ↗

10 Feb 2025

Parametricity and Comma Categories original ↗

2 Feb 2025

Constructing Parametricity Gel Type as Pushout original ↗

11 Jan 2025

An Almost Slice Category original ↗

10 Jan 2025

2024

An Exciting Internalized Parametricity Gotcha original ↗

28 Dec 2024

A Postulate for Internalized Parametricity original ↗

23 Dec 2024

Thoughts About a Directed Interval original ↗

21 Dec 2024

The Pentagonal Icositetrahedron as a 24-sided Die original ↗

18 Dec 2024

A Funny Definition of Groups original ↗

11 Dec 2024

Maps and Knots original ↗

3 Dec 2024

Three Lists in One original ↗

14 Nov 2024

A Heuristic Argument for the Central Limit Theorem original ↗

12 Nov 2024

Defining Fillets original ↗

30 Sept 2024

Naive Topology Intuitions and Logic original ↗

16 Sept 2024

Parametricity and Substructural Types original ↗

4 Sept 2024

A Probability Distribution Puzzle original ↗

30 Aug 2024

Type Combinators for Interactive Forms original ↗

26 Jul 2024

A Signal-Processing Cheatsheet original ↗

13 May 2024

Set-Theoretic Geometry original ↗

13 Mar 2024

A Picture of Sheaves original ↗

9 Mar 2024

What Type is a Deck of Cards?original ↗

12 Feb 2024

Linear Logic and Algebraic Geometry original ↗

29 Jan 2024

2023

Cache Types, Part 2 original ↗

14 Dec 2023

Stretchable Edges in Graphs original ↗

9 Dec 2023

Constructing the Cotangent Function original ↗

14 Nov 2023

How to Invent Hyperbolic Geometry original ↗

29 Oct 2023

How to Invent Topographs original ↗

22 Oct 2023

A Bernoulli Number Identity original ↗

20 Sept 2023

Type Manifolds original ↗

11 Sept 2023

Understanding the Hook Length Formula original ↗

19 Aug 2023

Do Univalent Universes Arise from Higher Adjoints?original ↗

18 Feb 2023

Attention for Type Theorists original ↗

24 Jan 2023

Somewhat-Topology-Preserving Hex Map Reduction original ↗

17 Jan 2023

Rigid String Diagrams original ↗

14 Jan 2023

2022

The Higher-Dimensional Graph Game original ↗

9 Dec 2022

chicken sandwich original ↗

2 Nov 2022

piranesi original ↗

31 Oct 2022

social media original ↗

29 Oct 2022

The Functional Programmer's -1/12 (2)original ↗

10 Aug 2022

The Functional Programmer's -1/12 original ↗

8 Aug 2022

Jacobi Triple Product Identity original ↗

1 Aug 2022

Coxeter Groups and Chebyshev Polynomials original ↗

18 Jul 2022

Some Animation I Like original ↗

12 Jun 2022

Thoughts on Braids original ↗

22 May 2022

2021

Modal Logic for the Kolmogorov Puzzle original ↗

28 Dec 2021

Chromatic Type Polynomials original ↗

5 Dec 2021

Semisimplicial Types original ↗

26 Sept 2021

Map Colorings in Type Theory original ↗

20 Sept 2021

Sealevel Logic original ↗

3 Apr 2021

Differential Geometry On Cartographic Spaces original ↗

14 Mar 2021

Surface Diagrams original ↗

4 Feb 2021

Trees as Fibrations original ↗

14 Jan 2021

2020

Classical Logic in Intuitionistic Logic original ↗

20 Dec 2020

Directed Spaces vs. Categories original ↗

22 Nov 2020

Polynomials as $n$-cells original ↗

5 Jan 2020

2019

Some Thoughts on Story Games original ↗

3 Sept 2019

lambda map drawer original ↗

21 Apr 2019

cubetest original ↗

7 Apr 2019

white noise generator original ↗

11 Feb 2019

2018

Orienting Simplices original ↗

31 Aug 2018

Some More Thoughts About Types with Internal References original ↗

23 Aug 2018

Types of DAG-like structures original ↗

19 Aug 2018

A Graph Polynomial, Sort of original ↗

12 Aug 2018

A Simple Matrix Game original ↗

5 Aug 2018

Focusing and Ends original ↗

29 Jul 2018

Two Warping Operations original ↗

22 Jul 2018

Action/Proposition Logic original ↗

15 Jul 2018

Towards a Judgmental Reconstruction of Dynamic Logic original ↗

8 Jul 2018

Focusing and Category Variables original ↗

1 Jul 2018

Cache Types original ↗

24 Jun 2018

Feeling the Yoneda Lemma in my Guts original ↗

17 Jun 2018

Creative Annealing original ↗

10 Jun 2018

Focusing Dissection of Exponentials In Presheaf Categories original ↗

3 Jun 2018

Depending on Category Variables, Dependently original ↗

27 May 2018

Depending on Category Variables original ↗

20 May 2018

Slices of Presheaf Categories original ↗

13 May 2018

Everything I've Learned About Logic in the Last Decade or So, Part 4 original ↗

6 May 2018

Everything I've Learned About Logic in the Last Decade or So, Part 3 original ↗

29 Apr 2018

Everything I've Learned About Logic in the Last Decade or So, Part 2 original ↗

22 Apr 2018

Everything I've Learned About Logic in the Last Decade or So, Part 1 original ↗

15 Apr 2018

Wellen's Synthetic Differential Geometry original ↗

8 Apr 2018

Doing $k$-means with intermediate points original ↗

1 Apr 2018