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Click on the phrases to see them in context. The original texts by Immanuel Kant and David Hume are available from the Gutenberg Projet.

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Things are coexistent, when in empirical intuition the perception of the one can follow upon the perception of the other, and vice versa-- which cannot occur in the succession of phenomena, as we have shown in the explanation of the second principle.

 This naturally gives us an uneasiness, in considering such seditious and disloyal actions, and makes us attach to them the idea of vice and moral deformity. In the former example, my perceptions in the apprehension of a house might begin at the roof and end at the foundation, or vice versa; or I might apprehend the manifold in this empirical intuition, by going from left to right, and from right to left. When we blame any action, in any situation, the whole complicated object, of action and situation, must form certain relations, wherein the essence of vice consists. As to the third sense of the word, it is certain, that both vice and virtue are equally artificial, and out of nature. No one will deny, that a negligence in this particular is a fault; and as faults are nothing but smaller vices, and this fault can have no other origin than the uneasy sensation, which it excites in others, we may in this instance, seemingly so trivial, dearly discover the origin of the moral distinction of vice and virtue in other instances. But to make the matter still more certain, I alter the object; and instead of vice and virtue, make the trial upon beauty and deformity, riches and poverty, power and servitude. Being fully convinced of the influence of this relation, I try the effects of the other; and by changing virtue for vice, convert the pleasant impression, which arises from the former, into the disagreeable one, which proceeds from the latter. 
For granting that morality had no foundation in nature, it must still be allowed, that vice and virtue, either from self-interest or the prejudices of education, produce in us a real pain and pleasure; and this we may observe to be strenuously asserted by the defenders of that hypothesis.
 If belief consisted only in a certain vivacity, conveyed from an original impression, it would decay by the length of the transition, and must at last be utterly extinguished: And vice versa, if belief on some occasions be not capable of such an extinction; it must be something different from that vivacity.