Oyonale - Créations 3D et expériences graphiques
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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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For geometrical principles are always apodeictic, that is, united with the consciousness of their necessity, as; "Space has only three dimensions." But propositions of this kind cannot be empirical judgements, nor conclusions from them. But, with the exception of space, there is no representation, subjective and referring to something external to us, which could be called objective a priorI. For there are no other subjective representations from which we can deduce synthetical propositions a priori, as we can from the intuition of space. We have now completely before us one part of the solution of the grand general problem of transcendental philosophy, namely, the question; "How are synthetical propositions a priori possible?" That is to say, we have shown that we are in possession of pure a priori intuitions, namely, space and time, in which we find, when in a judgement a priori we pass out beyond the given conception, something which is not discoverable in that conception, but is certainly found a priori in the intuition which corresponds to the conception, and can be united synthetically with it. 4 It is in relation to possible objects in space* In the first place, it is evident that both present us, with very many apodeictic and synthetic propositions a priori, but especially space--and for this reason we shall prefer it for investigation at present. just in the same way did Plato, abandoning the world of sense because of the narrow limits it sets to the understanding, venture upon the wings of ideas beyond it, into the void space of pure intellect. When, then, for example, I make the empirical intuition of a house by apprehension of the manifold contained therein into a perception, the necessary unity of space and of my external sensuous intuition lies at the foundation of this act, and I, as it were, draw the form of the house conformably to this synthetical unity of the manifold in space. If I can say a priori, "All outward phenomena are in space, and determined a priori according to the relations of space," I can also, from the principle of the internal sense, affirm universally, "All phenomena in general, that is, all objects of the senses, are in time and stand necessarily in relations of time."