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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 all probable reasoning is nothing but a species of sensation.

 Nay, more, I have not even aimed at demonstrating the possibility of freedom; for this too would have been a vain endeavour, inasmuch as it is beyond the power of the mind to cognize the possibility of a reality or of a causal power by the aid of mere a priori conceptions. 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. Philosophical definitions are, therefore, merely expositions of given conceptions, while mathematical definitions are constructions of conceptions originally formed by the mind itself; the former are produced by analysis, the completeness of which is never demonstratively certain, the latter by a synthesis. 

Above them all, there is the ideal teacher, who employs them as instruments for the advancement of the essential aims of human reason.

 Fertility and value have a plain reference to use; and that to riches, joy, and plenty; in which though we have no hope of partaking, yet we enter into them by the vivacity of the fancy, and share them, in some measure, with the proprietor.