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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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I have not yet been so fortunate as to discover any very considerable mistakes in the reasonings delivered in the preceding volumes, except on one article: But I have found by experience, that some of my expressions have not been so well chosen, as to guard against all mistakes in the readers; and it is chiefly to remedy this defect, I have subjoined the following appendix.

 In all those instances, from which we learn the conjunction of particular causes and effects, both the causes and effects have been perceived by the senses, and are remembered But in all cases, wherein we reason concerning them, there is only one perceived or remembered, and the other is supplyed in conformity to our past experience. 
Thus my general position, that an opinion or belief is nothing but a strong and lively idea derived from a present impression related to it, maybe liable to the following objection, by reason of a little ambiguity in those words strong and lively.
 But when such delusive proof are presented to us, it is our duty to meet them with the non liquet of a matured judgement; and, although we are unable to expose the particular sophism upon which the proof is based, we have a right to demand a deduction of the principles employed in it; and, if these principles have their origin in pure reason alone, such a deduction is absolutely impossible. 

They are, on the contrary, pure and genuine products, or problems, of pure reason.

 $44 per quarter pound. And this I carry so far, that I am ready to convert my present reasoning into an instance of it, by a subtility, which it will not be difficult to comprehend. This idea of reason cannot then be regarded as valid--except as a rule for the regressive synthesis in the series of conditions, according to which we must proceed from the conditioned, through all intermediate and subordinate conditions, up to the unconditioned; although this goal is unattained and unattainable. 

And, as it is a conception which occupies much of the attention of reason, its loss would be greatly to the detriment of all transcendental philosophy.

 The proposition is equivalent to saying; "To attain to a complete knowledge of a thing, it is necessary to possess a knowledge of everything that is possible, and to determine it thereby in a positive or negative manner." The conception of complete determination is consequently a conception which cannot be presented in its totality in concreto, and is therefore based upon an idea, which has its seat in the reason--the faculty which prescribes to the understanding the laws of its harmonious and perfect exercise.