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He distinguished between knowledge of actual objects and the divine inspiration by which we cognize the being and existence of God.

It is important to notice that Hume, in regard to this problem, distinctly separates Mathematics. geometry from algebra and arithmetic, i.e. he views extensive quantity as being cognized differently from number.

The philosophic endeavour to cognize the whole system of things by referring all events to their causes appears to him to be from the outset doomed to failure.

The external and the internal ear, like the ear-trumpet, are purely material, and by means of them we are able to cognize those material emanations called sound.

But, assuming that "conceive" is a general term for cognize, the conclusion developed just above is inevitable.