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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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In the latter case--although representation alone (for of its causality, by means of the will, we do not here speak) does not produce the object as to its existence, it must nevertheless be a priori determinative in regard to the object, if it is only by means of the representation that we can cognize anything as an object.

 [*Footnote; This ideal of the ens realissimum--although merely a mental representation--is first objectivized, that is, has an objective existence attributed to it, then hypostatized, and finally, by the natural progress of reason to the completion of unity, personified, as we shall show presently. For more conceptions of things, analyse them as we may, cannot enable us to conclude from the existence of one object to the existence of another. It is evident, that all reasonings from causes or effects terminate in conclusions, concerning matter of fact; that is, concerning the existence of objects or of their qualities. There remains only to take notice of a pretty remarkable phaenomenon of this passion; which is, that the communicated passion of sympathy sometimes acquires strength from the weakness of its original, and even arises by a transition from affections, which have no existence. Now in experience our perceptions come together contingently, so that no character of necessity in their connection appears, or can appear from the perceptions themselves, because apprehension is only a placing together of the manifold of empirical intuition, and no representation of a necessity in the connected existence of the phenomena which apprehension brings together, is to be discovered therein. Consequently, the determination of my existence in time is possible only through the existence of real things external to me. 
It follows that an infinite series already elapsed is impossible and that, consequently, a beginning of the world is a necessary condition of its existence.