-Proceeding by inquiry or investigation.
From mid 17th century: from Greek zētētikos, from zētein ‘seek'.
Used in a sentence:
"His zetetic habitudes have proved to have rather practical applications."
Curiosity killed the cat! But that’s just because the cat wasn’t at all zetetic. If the fumbling feline had adopted a more precise methodology, his inquiries may have had a more fruitful outcome.
(from The Grandiloquent Word of the Day FB page)