Bertrand Russell on Empiricism

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Empiricism and idealism alike are faced with a problem to which, so far, philosophy has found no satisfactory solution. This is the problem of showing how we have knowledge of other things than ourself and the operations of our own mind.
Bertrand Russell
Until the publication of Kant's Critique of Pure Reason in 1781, it might have seemed as if the older philosophical tradition of Descartes, Spinoza, and Leibniz were being definitely overcome by the newer empirical method. The newer method, however, had never prevailed in German universities, and after 1792 it was held responsible for the horrors of the Revolution. Recanting revolutionaries such as Coleridge found in Kant an intellectual support for their opposition to French atheism. The Germans, in their resistance to the French, were glad to have a German philosophy to uphold them. Even the French, after the fall of Napoleon, were glad of any weapon against Jacobinism. All these factors favored Kant.
Bertrand Russell
The difference in method, here, may be characterized as follows: in Locke and Hume, a comparatively modest conclusion is drawn from a broad survey of facts, whereas in Leibniz, a vast edifice of deduction is pyramided upon a pin-point of logical principle. In Leibniz, if the principle is completely true and the deductions are entirely valid, all is well; but the structure in unstable, and the slightest flaw anywhere brings it down in ruins. In Locke and Hume, on the other contrary, the base of the pyramid is on the solid ground of observed fact, and the pyramid tapers upward, not downward; consequently the equilibrium is stable, and a flaw here and there can be rectified without total disaster. This difference of method survived Kant's attempt to incorporate something of the empirical philosophy: from Descartes to Hegel on the one side, and from Locke to John Stuart Mill on the other, it remains unvarying.
Bertrand Russell