The language and grammar of mathematics [pdf]

I am perusing this journal now:

> Discrete Analysis > Discrete Analysis is a mathematics journal that I set up with various colleagues from around the world. It is an arXiv overlay journal, which means that it does not host the papers it publishes, but instead links to them on arXiv. (However, the papers have a uniform appearance thanks to a style file kindly supplied to us by László Babai and Alex Russell.) Our first paper was published in early 2016.

> The journal had a mathematical aim and a non-mathematical one. The mathematical aim was to be a natural home for high-quality papers in additive combinatorics and related fields, as previously it could be quite hard to find an appropriate specialist journal for such papers. The non-mathematical aim was to demonstrate that a well-respected mathematics journal could be run very cheaply -- our costs per article are orders of magnitude smaller than the costs of journals run by major commercial publishers. We meet these costs ourselves from a small grant: we do not charge authors (and obviously cannot charge readers given that the papers are on arXiv).

> One other feature of the journal that we are proud of is that each article is accompanied by an editorial introduction, which attempts to describe the paper for a wider audience than the core audience of the paper itself. The result is that the Discrete Analysis website is a lot more than just a list of titles that are linked to arXiv. If you want to know what is going on in additive combinatorics, you may enjoy browsing it.