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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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Thus though we clearly perceive the dependence and interruption of our perceptions, we stop short in our career, and never upon that account reject the notion of an independent and continued existence.

 First, We have no abstract idea of existence, distinguishable and separable from the idea of particular objects. But we must observe, that in these cases the first object is in a manner annihilated before the second comes into existence; by which means, we are never presented in any one point of time with the idea of difference and multiplicity: and for that reason are less scrupulous in calling them the same. The ideas of space and time are therefore no separate or distinct ideas, but merely those of the manner or order, in which objects exist: Or in other words, it is impossible to conceive either a vacuum and extension without matter, or a time, when there was no succession or change in any real existence. At the same time, it must be carefully borne in mind that, while we surrender the power of cognizing, we still reserve the power of thinking objects, as things in themselves.* For, otherwise, we should require to affirm the existence of an appearance, without something that appears--which would be absurd. WE GUARANTEE THAT IF YOU ARE NOT COMPLETELY SATISFIED, JUST RETURN THE UN-USED PORTION WITHIN 30 DAYS AND WE WILL GIVE YOU A FULL REFUND OF THE PURCHASE PRICE. Meanwhile, by reason of the conditions of the logical exercise of our understanding, it is impossible to avoid separating, as it were, that which in the existence of a substance is subject to change, whilst the substance remains, and regarding it in relation to that which is properly permanent and radical. 
1Of QuantityUnityRealityPlurality
2Of QualityNegationTotalityLimitation
3Of RelationOf Inherence and Subsistence (substantia et accidens)Of Causality and Dependence (cause and effect)Of Community (reciprocity between the agent and patient)
4Of ModalityPossibility--ImpossibilityExistence--Non-existenceNecessity--Contingence
 However rude the religious conceptions generated by the remains of the old manners and customs of a less cultivated time, the intelligent classes were not thereby prevented from devoting themselves to free inquiry into the existence and nature of God; and they easily saw that there could be no surer way of pleasing the invisible ruler of the world, and of attaining to happiness in another world at least, than a good and honest course of life in this. Our knowledge of the existence of things reaches as far as our perceptions, and what may be inferred from them according to empirical laws, extend.