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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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It is therefore from the intermediate situation of the mind, that this opinion arises, and from such an adherence to these two contrary principles, as makes us seek some pretext to justify our receiving both; which happily at last is found in the system of a double existence.

 Consequently, it is the unity of consciousness alone that constitutes the possibility of representations relating to an object, and therefore of their objective validity, and of their becoming cognitions, and consequently, the possibility of the existence of the understanding itself. If, however, I regard all things not as phenomena, but as things in themselves and objects of understanding alone, they, although substances, may be considered as dependent, in respect of their existence, on a foreign cause. The transcendental speculation of reason relates to three things; the freedom of the will, the immortality of the soul, and the existence of God. We may observe, then, that it is neither upon account of the involuntariness of certain impressions, as is commonly supposed, nor of their superior force and violence, that we attribute to them a reality, and continued existence, which we refuse to others, that are voluntary or feeble. A single perception can never produce the idea of a double existence, but by some inference either of the reason or imagination. SECT. VI. OF THE IDEA OF EXISTENCE, AND OF EXTERNAL EXISTENCE. 
Accordingly, as this cannot change in existence, its quantity in nature can neither be increased nor diminished.
 For as the compound idea of extension, which is real, is composed of such ideas; were these so many non-entities, there would be a real existence composed of non-entities; which is absurd.