*Set Theory: An Open Introduction* is a brief introduction to the philosophy of set theory. It is written for students with a little background in logic, and some high school mathematics. By the end of this book, students reading it might have a sense of:

- why set theory came about;
- how to reduce large swathes of mathematics to set theory + arithmetic;
- how to embed arithmetic in set theory;
- what the cumulative iterative conception of set amounts to;
- how one might try to justify the axioms of ZFC.

This repository/directory only contains the LaTeX files and illustrations needed to typeset the textbook *Set Theory*, which in turn requires the *Open Logic Text*. Most of the material making up the text comes from Tim Button’s *Open Set Theory*.

You can download the PDF from the Open Logic builds site.

You can order a hardcopy of the Fall 2021 edition from Amazon [US|CA|UK|DE|AU].

To install and compile:

- Download/install the
*Open Logic Text*from GitHub, including photos if you want those. - Navigate to the subdirectory
`courses/`

- Put the content of this repository into a subdirectory of it, say
`courses/set-theory`

.

If you use `git`

, this should do it:

```
# git clone https://github.com/OpenLogicProject/OpenLogic.git
# cd OpenLogic/courses
# git clone https://github.com/OpenLogicProject/set-theory.git
# cd ../assets
# git clone https://github.com/OpenLogicProject/photos.git
```

Inside `courses/set-theory`

, you can now compile:

`# pdflatex settheory-screen`

or just `# make`

if you have `latexmk`

installed. (You’ll also have to do `bibtex settheory-screen`

for the bibliography.)

The file `settheory-screen.tex`

produces a color version of the text with smaller margins for screen reading.

The file loads `settheory.tex`

, which contains the actual material. It in turn includes other files, most of them from the `OpenLogic`

repository. So you won’t get a complete book unless you download into the right subdirectory of and compile from there.

*Set Theory* by Tim Button is licensed under a Creative Commons Attribution 4.0 International License.