[joe__f]

I agree with the overall idea, that many papers in mathematics and related fields could benefit from their authors spending more time on their writing style.

I disagree with most of their suggested ways of doing this. * Grandmothering: I didn't understand the point here. I think writing an overview sentence in your abstract can be helpful. * Table of contents in a paragraph: Whatever it's just one paragraph, if you don't like it don't read it * Conclusions that don't: I think the having first paragraph of your conclusion as a reintroduction is very helpful. I sometimes read only the conclusion, and I often find the summary paragraph at the beginning of the conclusion to be more direct than other parts of the paper. Clearly the example of changing the tenses of the verbs in the introduction and putting this again as the conclusion is inexcusable, but I'd be surprised if that happened other than in the one place the author came across it