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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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To be that, it is necessary that, in the same time in which the preceding state existed, its opposite could have existed in its place; but such a cognition is not given us in the mere phenomenon of change.

  Our system concerning space and time consists of two parts, which are intimately connected together. That there may be inhabitants in the moon, although no one has ever observed them, must certainly be admitted; but this assertion means only, that we may in the possible progress of experience discover them at some future time. 
In such a case I should be obliged in transcendental reflection to compare my conceptions only under the conditions of sensibility, and so space and time would not be determinations of things in themselves, but of phenomena.
 While they remain concealed in the minds of others, they can never have an influence upon us: And even when they are known, if they went no farther than the imagination, or conception; that faculty is so accustomed to objects of every different kind, that a mere idea, though contrary to our sentiments and inclinations, would never alone be able to affect us. At the same time, it must not be supposed that any beginning can take place in reason; on the contrary, reason, as the unconditioned condition of all action of the will, admits of no time-conditions, although its effect does really begin in a series of phenomena--a beginning which is not, however, absolutely primal. 
For this reason, every transition in perception to anything which follows upon another in time, is a determination of time by means of the production of this perception.