Oh, I was actually going to make this topic when I got home. Which was now.
So I read through the first two chapters at work, and *most* of it made sense, although in general that was more of a workout than I expected. (It did not help that I also spent most of the day trying to debut a really elaborate excel spreadsheet only to discover that the whole problem was that Excel reads its own ****ing null operator as a data string, but I digress).
The big thing, I think, is that I'm not really clear on what exactly constitutes grammaticality, or rather, this particular book's stance seems to be "here are some things that are not grammaticality, and everything else you intuit is." A good example is this exercise from Chapter 1:
From: The Book in the OP
Exercise 1.5
Which, if any, of the sentences in (1)-(5) are ungrammatical? Which, if any, are semantically or otherwise anomalous? Briefly explain.
(1) a. They decided to go tomorrow yesterday.
b. They decided to go yesterday tomorrow.
(2) a. They decided yesterday to go tomorrow.
b. They decided tomorrow to go yesterday.
(3) a. Yesterday, they decided to go tomorrow.
b. Tomorrow, they decided to go yesterday.
(4) They decided to go yesterday yesterday.
(5) How long didn't Tom wait?
So 1a, 2a 3a and 4 seem to be grammatical and sensible if less than clear; I'm pretty sure sentence 5 is okay, because the unintelligibility hinges on the very specific relationship between "how long" and "wait," rather than a word order issue. But I can't decide on 1b, 2b and 3b because I'm not sure whether it's a grammatical or semantic issue that you need to use a future tense (or modal that implies futurity etc) to talk about something that will occur "tomorrow." They're grammatical in the sense that they don't have any wacky word order, and the anomaly deals with the sign for which a particular word stands, but the problem morphological.
My gut feeling is that they're all grammatical, and the exercise is designed to make you say "wow look at all the unintelligible crap that's grammatical!" but the subtle variations in word order between the first four sets make me wonder if I'm totally missing something.
(More coming, but I'm going to post because my computer dies randomly sometimes)