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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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That logic has advanced in this sure course, even from the earliest times, is apparent from the fact that, since Aristotle, it has been unable to advance a step and, thus, to all appearance has reached its completion.

 Philosophical cognition does not possess this advantage, it being required to consider the general always in abstracto (by means of conceptions), while mathematics can always consider it in concreto (in an individual intuition), and at the same time by means of a priori representation, whereby all errors are rendered manifest to the senses. To remove this difficulty, let us have recourse to the idea of time or duration. Sensuous intuition is either pure intuition (space and time) or empirical intuition--of that which is immediately represented in space and time by means of sensation as real. All statements enounced by pure reason transcend the conditions of possible experience, beyond the sphere of which we can discover no criterion of truth, while they are at the same time framed in accordance with the laws of the understanding, which are applicable only to experience; and thus it is the fate of all such speculative discussions that while the one party attacks the weaker side of his opponent, he infallibly lays open his own weaknesses. Moreover, as nothing happens in this subject--for it is a noumenon, and there does not consequently exist in it any change, demanding the dynamical determination of time, and for the same reason no connection with phenomena as causes--this active existence must in its actions be free from and independent of natural necessity, for or necessity exists only in the world of phenomena. Remark II. Now with this view all empirical use of our faculty of cognition in the determination of time is in perfect accordance.