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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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The first pure cognition of understanding, then, upon which is founded all its other exercise, and which is at the same time perfectly independent of all conditions of mere sensuous intuition, is the principle of the original synthetical unity of apperception.

 The reason is that the only way of arriving at this knowledge is through the essential principles of reason, and thus it is always certain and indisputable; because reason is employed in concreto--but at the same time a priori--that is, in pure and, therefore, infallible intuition; and thus all causes of illusion and error are excluded. Sometimes this distance has a greater influence than even contrary experiments would have; and a man may receive a more lively conviction from a probable reasoning, which is close and immediate, than from a long chain of consequences, though just and conclusive in each part. 
It is only by means of the permanent that existence in different parts of the successive series of time receives a quantity, which we entitle duration.
 Space and time are quanta continua, because no part of them can be given, without enclosing it within boundaries (points and moments), consequently, this given part is itself a space or a time. 
  • We first of all separate a predicate of a thing from the conception of the thing, and afterwards connect with this predicate its opposite, and hence do not establish any contradiction with the subject, but only with its predicate, which has been conjoined with the subject synthetically-- a contradiction, moreover, which obtains only when the first and second predicate are affirmed in the same time.
 Sometimes, too, we discover, or believe that we discover, that the ideas of reason did actually stand in a causal relation to certain actions of man; and that these actions have taken place because they were determined, not by empirical causes, but by the act of the will upon grounds of reason. It is one and the same spontaneity which at one time, under the name of imagination, at another under that of understanding, produces conjunction in the manifold of intuition.] It was a part of her favorite fantasy, and so tempting that she couldn't resist.... A small degree of any quality, succeeding a greater, produces the same sensation, as if less than it really is, and even sometimes as the opposite quality. When my perceptions are removed for any time, as by sound sleep; so long am I insensible of myself, and may truly be said not to exist.