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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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Reason, considered as the faculty of a certain logical form of cognition, is the faculty of conclusion, that is, of mediate judgement--by means of the subsumption of the condition of a possible judgement under the condition of a given judgement.

 Experience demonstrates to us the existence of practical freedom as one of the causes which exist in nature, that is, it shows the causal power of reason in the determination of the will.  There is an easy reason, why every thing contiguous to us, either in space or time, should be conceived with a peculiar force and vivacity, and excel every other object, in its influence on the imagination. For if the condition of every conditioned--as regards its existence--is sensuous, and for this reason a part of the same series, it must be itself conditioned, as was shown in the antithesis of the fourth antinomy. 
I shall add as a fourth corrollary that we can never have reason to believe that any object exists, of which we cannot form an idea.
 Secondly, If this argument should be contested, the reality or at least the possibility of the idea of a vacuum may be proved by the following reasoning. Reason does not hold her possessions upon sufferance; for, although she cannot show a perfectly satisfactory title to them, no one can prove that she is not the rightful possessor. But I cannot satisfy reason with regard to this hypothesis itself; and this proves that it is not its intelligence and insight into the subject, but its speculative interest alone which induces it to proceed from a point lying far beyond the sphere of our cognition, for the purpose of being able to consider all objects as parts of a systematic whole.