I am curious to know whether the following is a grammatically correct sentence:
"In the following section, we define first those concepts intrinsic to our problem, followed by the problem itself."
The first part I am unsure of is the first comma, straight after 'section'. The more I look at it the more I think it's incorrect with it there. I think it would still be valid if I removed it, but I'm not one-hundred percent confident about it.
The second part is the portion of text in between the two commas: 'we define first those concepts intrinsic to our problem'. I like the sound of it but I'm not actually sure that it's correct English. Do I need to rearrange the words in some way? I have used this style of writing a lot throughout my thesis, and I am now having these thoughts two days before the deadline - I would call that sod's law.
I suppose I have one, slightly more abstract question: Is there a summarising word alluding to the aesthetic quality of a sentence? I thought perhaps 'tone', for example you could say 'the sentence had a formal tone'. I apologise if this makes no sense, I am know next to nothing about linguistics but I am curious to learn more.