I think the difference is that lately has more of a continuous or repetitive meaning (similar to the perfect aspect/tense), and doesn't work well for individual events, while recently can be used for both.
For example,
- "I went to the library lately" is ungrammatical, but "I've been going to the library a lot lately" is fine. ("I went to the library recently" and "I've been going to the library a lot recently" are also both fine.)
- "I haven't seen her lately" and "I haven't seen her recently" are both fine.
- "Have you been to the movies lately?" and `Have you been to the movies recently?" are both fine.
I'm hoping someone else can elaborate on this, though.
Both of the clauses beginning with what are noun clauses. You can tell they're noun clauses because they're both the object of the preposition of.
- much of [what scientists know about dinosaurs]
- the phenomenon of [what are known as corporate networks]
Noun or complement clauses can function like nouns -- as subject, direct object, or prepositional object.
There are four types of complement clauses in English, and this is the type called an embedded question (or headless relative -- they're not that different) complement. (the others are Infinitive, Gerund, and tensed That-clause.)
Embedded questions are just regular Wh-questions, but they have three peculiarities that mark them as subordinate clauses:
- Embedded Yes/No questions use whether (whether only occurs in embedded questions)
- Embedded questions do not invert Subject and Verb.
- Embedded questions do not use which, but rather what.
It's the third peculiarity that's responsible; the normal distinction between open what and closed which is simply not available in embedded questions, just like the usual future sense of will is unavailable in if-clauses. There's a reason.
Which already has a role as a relative pronoun (and you can't use what as a relative pronoun). Relative pronouns are Adjective clauses, while Embedded Questions are Noun clauses. The purpose of an introductory marker like what or that or which is to indicate -- before it's parsed -- what kind of clause is coming up.
If which already marks adjective clauses, it's confusing to have another which that marks noun clauses. So we don't. What marks noun clauses and which doesn't, while which marks adjective clauses and what doesn't. That's all, really. It's kind of like opposing metal to colour in heraldry -- it improves clarity and avoids confusion in the signal.
Best Answer
Lately strikes me as more repeatable/continuous. In case of negative, like "I haven't seen..." it's completely equal but if it were a positive, "I have seen Mr. John working around his house lately" would mean he was doing it several times, while "I have seen Mr. John working around his house recently" would be about seeing him once.