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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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Philosophical cognition is the cognition of reason by means of conceptions; mathematical cognition is cognition by means of the construction of conceptions.

 PROOF. But what passion? That very one of pride, to which this object bears a double relation. The only difference betwixt the natural virtues and justice lies in this, that the good, which results from the former, arises from every single act, and is the object of some natural passion: Whereas a single act of justice, considered in itself, may often be contrary to the public good; and it is only the concurrence of mankind, in a general scheme or system of action, which is advantageous. But to this I answer, first, that many of those qualities, which all moralists, especially the antients, comprehend under the title of moral virtues, are equally involuntary and necessary, with the qualities of the judgment and imagination. General mechanics can even present us with the empirical condition of this opposition in an a priori rule, as it directs its attention to the opposition in the direction of forces--a condition of which the transcendental conception of reality can tell us nothing. I suppose there is an object presented, from which I draw a certain conclusion, and form to myself ideas, which I am said to believe or assent to. 
In proportion as the resemblance decays, the probability diminishes; but still has some force as long as there remain any traces of the resemblance.
 For if phenomena are things in themselves, freedom is impossible. Parents are searching frantically but having no luck.  If we require to employ auxiliary hypotheses, the suspicion naturally arises that they are mere fictions; because the necessity for each of them requires the same justification as in the case of the original hypothesis, and thus their testimony is invalid.