Thought
In the introduction to A Treatise of Human Nature, Hume writes "'Tis evident, that all the sciences have a relation, more or less, to human nature ... Even Mathematics, Natural Philosophy, and Natural Religion, are in some measure dependent on the science of Man". Also, "the science of man is the only solid foundation for the other sciences", and the method for this science assumes "experience and observation" as the foundations of a logical argument. Because "Hume's plan is to extend to philosophy in general the methodological limitations of Newtonian physics", Hume is characterised as an empiricist.
Until recently, Hume was seen as a forerunner of the logical positivist movement; a form of anti-metaphysical empiricism. According to the logical positivists, unless a statement could be verified by experience, or else was true or false by definition (i.e. either tautological or contradictory), then it was meaningless (this is a summary statement of their verification principle). Hume, on this view, was a proto-positivist, who, in his philosophical writings, attempted to demonstrate how ordinary propositions about objects, causal relations, the self, and so on, are semantically equivalent to propositions about one's experiences.
Many commentators have since rejected this understanding of Humean empiricism, stressing an epistemological, rather than a semantic reading of his project. According to this view, Hume's empiricism consisted in the idea that it is our knowledge, and not our ability to conceive, that is restricted to what can be experienced. To be sure, Hume thought that we can form beliefs about that which extends beyond any possible experience, through the operation of faculties such as custom and the imagination, but he was skeptical about claims to knowledge on this basis.
Read more about this topic: David Hume
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