Hume's empiricism is a devastating response to the rationalism of philosophers like Descartes, Spinoza and Leibniz, but his philosophical virtue, courage and honesty also led him to take the very same empiricism he endorsed to its true logical conclusion, demonstrating in the process the limits of reason and human knowledge... oh, and your non-existence too :)
The following clip is a nice excerpt of some of Hume's most important ideas (as articulated in his Enquiry Concerning Human Understanding), starting with his distinction between relations of ideas and matters of fact:
Here is a short, but very good analysis of Hume's ideas by Peter Millican in a Philosophy Bites interview:
And here is a sample (again from Philosophy Bites) of the work philosophers have been doing on the idea of "laws of nature" after Hume's powerful challenge to such a notion:
Check out more fascinating entries on The Masters of Philosophy.
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How does David Hume describe that an unexamined life is not worth living?
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