What influence did David Hume have on philosophy?

Answer 1

Hume was the first philosopher to really challenge religion. Most philosophers were too afraid to question the church's authority. He was the first real atheist philosopher. He attributed in many ways, but it's this aspect that really stuck with me.

Answer 2

David Hume according to Hegel:

http://www.marxists.org/reference/archive/hegel/works/hp/hphume.htm

"Hegel’s Lectures on the History of Philosophy

Section Two: Period of the Thinking Understanding
Chapter II. — Transition Period, A Idealism & Scepticism
2. HUME.
We must add to what has preceded an account of the Scepticism of Hume, which has been given a more important place in history than it deserves from its intrinsic nature; its historic importance is due to the fact that Kant really derives the starting point of his philosophy from Hume."

Answer 3

Quite a bit as the most published/read/admired English speaking philosopher, even if he was an empiricists.