This is the 15006th most frequent Korean word.
발견한다며
"발견한다며" means "saying that (someone) discovers" or "claiming to discover."
In this sentence, "발견한다며" is used to convey that the subject (the writer) mentions finding something, which is new inspiration in this case. The "-며" ending suggests that the action of discovering serves as a context for another emotion or action, which is delight.
그 작가는 새로운 영감을 발견한다며 기뻐했다.
The writer was delighted saying that they discovered new inspiration.
Here, "발견한다며" implies that the students mentioned finding interesting facts, expressing their point before proceeding with their action of debating. It links the result of discovery to their excitement while participating in a discussion.
학생들은 재미있는 사실을 발견한다며 신나게 토론했다.
The students enthusiastically debated, saying that they've discovered interesting facts.
In this context, "발견한다며" is the reporting of the scientists about their new discovery, indicating that their statement connected to the announcement made to the public.