Holding On to the Grenade Too Long
David Hume was (and is) the enfant terrible of modern philosophy. His scepticism was (and is) like an acid which corroded much of what went before and came after. By putting up a barrier between the mind (rational thought) and the senses, such that there is no necessary connection between the two, he scared Western philosophers so profoundly they all got a bad case of the heebie jeebies. Empiricism devolved into scepticism.
The way a good many of his successors dealt with his scepticism was to ignore it. Actually, Hume ended up ignoring it for a large part of his output. He could not help himself. He retreated to the more positive, safer realm of championing empiricism--the championing of knowledge through the application of our senses to the world around us. But he had to assume there was a connection between rational thought and empirical observation. He also had to assert there was a connection between cause and effect that held whether empirically observed or not.
He dismissed non-empirical philosophy in a grand manner:
. . . if we take in our hand any volume; of divinity or school metaphysics, for instance, let us ask, Does it contain any abstract reasoning concerning quantity and number? No. Does it contain any experimental reasoning concerning matter of matter of fact and existence? No. Commit it then to the flames: For it can contain nothing but sophistry and illusion. [An Enquiry Concerning Human Understanding.]Beware the universal acid--that acid so corrosive it cannot be contained and which in the end destroys all. As Berlinski pointed out, with respect to Hume:
Analytical philosophers have been eager to commit books to the flames ever since [Hume], rather an odd vocational choice, all things considered.