Oyonale - 3D art and graphic experiments
Fun things Image mixer TrueSpam ShakeSpam ThinkSpam

ThinkSpam

Click on the phrases to see them in context. The original texts by Immanuel Kant and David Hume are available from the Gutenberg Projet.

.

Nay, it may even be said that the true value of mathematics- that pride of human reason--consists in this; that she guides reason to the knowledge of nature--in her greater as well as in her less manifestations--in her beautiful order and regularity--guides her, moreover, to an insight into the wonderful unity of the moving forces in the operations of nature, far beyond the expectations of a philosophy building only on experience; and that she thus encourages philosophy to extend the province of reason beyond all experience, and at the same time provides it with the most excellent materials for supporting its investigations, in so far as their nature admits, by adequate and accordant intuitions.

 
  • To give an object, if this expression be understood in the sense of "to present" the object, not mediately but immediately in intuition, means nothing else than to apply the representation of it to experience, be that experience real or only possible.
 These principles cannot be derived from experience, for it would give neither strict universality, nor apodeictic certainty. For how can two persons dispute about a thing, the reality of which neither can present in actual or even in possible experience? From this reasoning, as well as from undoubted experience, we may conclude, that an association of ideas, however necessary, is not alone sufficient to give rise to any passion. Hence it follows that the pure category is incompetent to establish a synthetical a priori principle, and that the principles of the pure understanding are only of empirical and never of transcendental use, and that beyond the sphere of possible experience no synthetical a priori principles are possible. From this it is plain that the only aim of reason in this procedure is the establishment of its own formal rule for the extension of its dominion in the world of experience; that it does not aim at an extension of its cognition beyond the limits of experience; and that, consequently, this idea does not contain any constitutive principle. Now, as such an intuition, that is, an intellectual intuition, is no part of our faculty of cognition, it is absolutely impossible for the categories to possess any application beyond the limits of experience.