> We investigated X
(Who's we?)
and
> From equation (1.2.3) we see that,
(Who is "we"? The author? The author and other readers who are smarter than me? It cannot possibly be "the author and I" because I don't "see that" at all.)
> We investigated X
(Who's we?)
and
> From equation (1.2.3) we see that,
(Who is "we"? The author? The author and other readers who are smarter than me? It cannot possibly be "the author and I" because I don't "see that" at all.)
Also, your second "we" isn't even that, I think that's just good old-fashioned generic pronoun (because English normally doesn't allow a sentence without a subject). Basically the same as in sentences like:
> In Elbonia you are not allowed to drive after dark.
I don’t think I’ve ever seen “we” used as an indefinite pronoun. It’s usually “one”, “you”, or “they”, depending on formality and context.
In this context, it seems obvious to me that it stands for the author(s) and the reader, in a (maybe misguided) attempt to reduce the distance between them and involve the reader in the narrative.
Thank you for putting it so succinctly, this is exactly what I meant to say: When I'm reading a scientific paper, I don't want to be involved in the narrative. Don't speak to me; let the facts speak for themselves.
I would tend to prefer “we can see” (or “we can deduce”, or something to that effect) rather than “we see”. In the first case, it’s a statement that it is possible for you to see it too, if you think about it for a while. As you say, the latter is a statement of fact that is often wrong and can come across as condescending.
What do you mean you "can hear" the loud music coming from the neighbor's flat? Do you in fact hear it or do you just have the ability to hear it and can also switch it off or something? It's a quirk of English that I just had to memorize.
You can hear it, if you're otherwise silent and focus on the sound.