🔖 Abstract and Concrete Categories: The Joy of Cats by Jiri Adamek, Horst Herrlich, and George E. Strecker

Bookmarked Abstract and Concrete Categories: The Joy of Cats by Jirí Adámek, Horst Herrlich, and George E. Strecker (goodreads.com)
This up-to-date introductory treatment employs the language of category theory to explore the theory of structures. Its unique approach stresses concrete categories, and each categorical notion features several examples that clearly illustrate specific and general cases. A systematic view of factorization structures, this volume contains seven chapters. The first five focus on basic theory, and the final two explore more recent research results in the realm of concrete categories, cartesian closed categories, and quasitopoi. Suitable for advanced undergraduate and graduate students, it requires an elementary knowledge of set theory and can be used as a reference as well as a text. Updated by the authors in 2004, it offers a unifying perspective on earlier work and summarizes recent developments.
Mike Miller has announced in class that he’ll be using Abstract and Concrete Categories: The Joy of Cats as the textbook for his upcoming  Introduction to Category Theory course at UCLA Extension this winter.

Naturally, he’ll be supplementing it heavily with his own notes.

A free .pdf copy of the text is also available online.

Black and Tealish Green book cover of Abstract and Concrete Categories: The Joy of Cats

👓 WordPress Meetup Presentation: Decentralized Social Networking with WordPress | Alexander Kirk

Read WordPress Meetup Presentation: Decentralized Social Networking with WordPress by Alexander Kirk (alexander.kirk.at)
Wpvie Friends This is the presentation I held yesterday, November 7, 2018, at the WordPress Meetup Vienna about the Friends Plugin. I created this presentation with Deckset which allows to generate the presentation from a Markdown file.
Reminder: I need to try this out.

👓 Category Theory Seminar: Winter 2016 | John Carlos Baez

Bookmarked Category Theory Seminar: Winter 2016 by John Carlos Baez (math.ucr.edu)
Here are the notes from a basic course on category theory. Unlike the Fall 2015 seminar, this tries to be a systematic introduction to the subject. A good followup to this course is my Fall 2018 course. If you discover any errors in the notes please email me, and I'll add them to the list of errors. You can get all 10 weeks of notes in a single file here: You can get the LaTeX files created by Nelson and García Portillo here. Their typeset version was based on these handwritten versions:

👓 Category Theory Course | Azimuth | John Carlos Baez

Bookmarked Category Theory Course by John Carlos Baez (Azimuth)
I’m teaching a course on category theory at U.C. Riverside, and since my website is still suffering from reduced functionality I’ll put the course notes here for now. I taught an introductory course on category theory in 2016, but this one is a bit more advanced. The hand-written notes here are by Christian Williams. They are probably best seen as a reminder to myself as to what I’d like to include in a short book someday.
Liked a tweet (Twitter)

🔖 Introduction to Category Theory | UCLA Continuing Education

Bookmarked Introduction to Category Theory (UCLA Continuing Education)

This course is an introduction to the basic tenets of category theory, as formulated and illustrated through examples drawn from algebra, calculus, geometry, set theory, topology, number theory, and linear algebra.

Category theory, since its development in the 1940s, has assumed an increasingly center-stage role in formalizing mathematics and providing tools to diverse scientific disciplines, most notably computer science. A category is fundamentally a family of mathematical obejcts (e.g., numbers, vector spaces, groups, topological spaces) along with “mappings” (so-called morphisms) between these objects that, in some defined sense, preserve structure. Taking it one step further, one can consider morphisms (so-called functors) between categories. This course is an introduction to the basic tenets of category theory, as formulated and illustrated through examples drawn from algebra, calculus, geometry, set theory, topology, number theory, and linear algebra. Topics to be discussed include: isomorphism; products and coproducts; dual categories; covariant, contravariant, and adjoint functors; abelian and additive categories; and the Yoneda Lemma. The course should appeal to devotees of mathematical reasoning, computer scientists, and those wishing to gain basic insights into a hot area of mathematics.

January 8, 2019 - March 19, 2019
Tuesday 7:00PM - 10:00PM
Location: UCLA
Instructor: Michael Miller
Fee: $453.00

The new catalog is out today and Mike Miller’s Winter class in Category Theory has been officially announced.

Oddly, it wasn’t listed in the published physical catalog, but it’s available online. I hope that those interested in mathematics will register as well as those who are interested in computer science.

🔖 Unsplash | Beautiful Free Images & Pictures

Bookmarked Unsplash | Beautiful Free Images & Pictures (unsplash.com)
Beautiful, free images and photos that you can download and use for any project. Better than any royalty free or stock photos.

🔖 Surreal number | Wikipedia

Bookmarked Surreal numbers (Wikipedia)
In mathematics, the surreal number system is a totally ordered proper class containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share many properties with the reals, including the usual arithmetic operations (addition, subtraction, multiplication, and division); as such, they form an ordered field.[a] If formulated in Von Neumann–Bernays–Gödel set theory, the surreal numbers are a universal ordered field in the sense that all other ordered fields, such as the rationals, the reals, the rational functions, the Levi-Civita field, the superreal numbers, and the hyperreal numbers, can be realized as subfields of the surreals.[1] The surreals also contain all transfinite ordinal numbers; the arithmetic on them is given by the natural operations. It has also been shown (in Von Neumann–Bernays–Gödel set theory) that the maximal class hyperreal field is isomorphic to the maximal class surreal field; in theories without the axiom of global choice, this need not be the case, and in such theories it is not necessarily true that the surreals are a universal ordered field.

🔖 Racial Equity Institute

Bookmarked Racial Equity Institute (racialequityinstitute.com)
We are an alliance of trainers, organizers, and institutional leaders who have devoted ourselves to the work of creating racially equitable organizations and systems. We help individuals develop tools to challenge patterns of power and grow equity. Join us today.

🔖 reveal.js – The HTML Presentation Framework

Bookmarked reveal.js – The HTML Presentation Framework (revealjs.com)
A framework for easily creating beautiful presentations using HTML. Check out the live demo. reveal.js comes with a broad range of features including nested slidesMarkdown contentsPDF exportspeaker notes and a JavaScript API. There's also a fully featured visual editor and platform for sharing reveal.js presentations at slides.com.

👓 Ibn Khaldun | Wikipedia

Read Abū Zayd ‘Abd ar-Raḥmān ibn Muḥammad ibn Khaldūn al-Ḥaḍramī (Wikipedia)
Ibn Khaldūn (/ˈɪbən kælˈduːn/; Arabic: أبو زيد عبد الرحمن بن محمد بن خلدون الحضرمي‎, Abū Zayd ‘Abd ar-Raḥmān ibn Muḥammad ibn Khaldūn al-Ḥaḍramī; 27 May 1332 – 17 March 1406) was a Tunisian Arab historiographer and historian. He is widely considered as a forerunner of the modern disciplines of historiography, sociology, economics, and demography.

Concerning the discipline of sociology, he described the dichotomy of sedentary life versus nomadic life as well as the inevitable loss of power that occurs when warriors conquer a city. According to the Arab scholar Sati’ al-Husri, the Muqaddimah may be read as a sociological work. The work is based around Ibn Khaldun’s central concept of ‘aṣabiyyah, which has been translated as “social cohesion”, “group solidarity”, or “tribalism”. This social cohesion arises spontaneously in tribes and other small kinship groups; it can be intensified and enlarged by a religious ideology. Ibn Khaldun’s analysis looks at how this cohesion carries groups to power but contains within itself the seeds – psychological, sociological, economic, political – of the group’s downfall, to be replaced by a new group, dynasty or empire bound by a stronger (or at least younger and more vigorous) cohesion. Some of Ibn Khaldun’s views, particularly those concerning the Zanj people of sub-Saharan Africa,[27] have been cited as a racist,[28] though they were not uncommon for their time. According to the scholar Abdelmajid Hannoum, Ibn Khaldun’s description of the distinctions between Berbers and Arabs were misinterpreted by the translator William McGuckin de Slane, who wrongly inserted a “racial ideology that sets Arabs and Berbers apart and in opposition” into his translation of the Muqaddimah.  

November 09, 2018 at 11:09PM

He believed that the reason why non-Arabs were accepted as part of Arab society was due to their mastery of the Arabic language.  

November 09, 2018 at 11:21PM

🔖 Read.as

Bookmarked Read.as by Matt BaerMatt Baer (Read.as)
Long-form reader built on open protocols.
This is a cool looking reader project that’s got some ActivityPub. Would be cool to see integrated microformats h-feeds or even some mixing with Microsub to help bridge the Fediverse and IndieWeb efforts. His write.as project is fantastic looking too.