I am not looking for subjective opinions here, ie “was Wittgenstein right or wrong in his beliefs?” I am looking for the sort of straightforward answer an encyclopedia might give: why is Wittgenstein considered such a great philosopher?
I ask because I have been able to digest brief descriptions of most other philosophers with ease, yet I have never heard a clear description of why Wittgenstein is considered one of the most important philosophers of all time.
I think it had more to do with his personal influence than his writings. Apparently he was a very charismatic teacher, and most of the next generation of British philosophers were former students of his, still under his spell.
He argues quite well that some questions don’t actually involve problematic concepts but problematic language. Hume had a somewhat similar approach, and gets his share of esteem – and anyone who got their first “there’s simply no ‘there’ there” head-smack by way of Wittgenstein on one of the Big Questions might well feel he’s THE go-to exemplar of philosophy as practical clarification.