"Set about to V" uses an infinitive as a complement. "Set about V-ing" uses a gerund as a complement. Both are probably correct, but I prefer the gerund form. There is no difference in meaning.
1. Frederic Wheelock set about to create a Latin text that would give the students something to think about, a humanistic diet to nurture them both linguistically and philosophically.
2. How do you set about building a boat?
What's the difference in meaing between set about to V and set about Ving?
I need native speakers' help.
I don't find "set about to" at all natural.