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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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These principles are not mere hypotheses employed for the purpose of experimenting upon nature; although when any such connection is discovered, it forms a solid ground for regarding the hypothetical unity as valid in the sphere of nature--and thus they are in this respect not without their use.

 And even this correction is susceptible of a new correction, and of different degrees of exactness, according to the nature of the instrument, by which we measure the bodies, and the care which we employ in the comparison. 
Consequently, the hypothesis of a wise author of the universe is necessary for my guidance in the investigation of nature--is the condition under which alone I can fulfil an end which is contingent indeed, but by no means unimportant.
 Freedom--independence of the laws of nature--is certainly a deliverance from restraint, but it is also a relinquishing of the guidance of law and rule. Reason is not to be considered as an indefinitely extended plane, of the bounds of which we have only a general knowledge; it ought rather to be compared to a sphere, the radius of which may be found from the curvature of its surface--that is, the nature of a priori synthetical propositions--and, consequently, its circumference and extent. And thus nature and freedom, each in the complete and absolute signification of these terms, can exist, without contradiction or disagreement, in the same action to