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Cliquer sur les phrases pour les voir dans leur contexte. Les textes de Immanuel Kant et David Hume sont disponibles auprès du Projet Gutenberg.

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Mathematical science affords us a brilliant example, how far, independently of all experience, we may carry our a priori knowledge.

 cogitate any such connection, but merely helps us to understand it, when we meet with it in experience. When every individual of any species of objects is found by experience to be constantly united with an individual of another species, the appearance of any new individual of either species naturally conveys the thought to its usual attendant. This principle of reason is hence valid only as a rule for the extension of a possible experience--its invalidity as a principle constitutive of phenomena in themselves having been sufficiently demonstrated. For it is by this principle alone that pure mathematics is rendered applicable in all its precision to objects of experience, and without it the validity of this application would not be so self-evident; on the contrary, contradictions and confusions have often arisen on this very point.