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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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The evidence of mathematics rests upon definitions, axioms, and demonstrations.

 Sed hoc quidem discernere, modici judicii est. Recently Thomas states he has over $8,500,000 worth of judgments he is working on. For I need not go beyond the conception of body in order to find extension connected with it, but merely analyse the conception, that is, become conscious of the manifold properties which I think in that conception, in order to discover this predicate in it; it is therefore an analytical judgement. The reader will observe in this antinomy a very remarkable contrast. All the modi of self-consciousness in thought are hence not conceptions of objects (conceptions of the understanding--categories); they are mere logical functions, which do not present to thought an object to be cognized, and cannot therefore present my Self as an object. We may observe, that it is universally allowed by philosophers, and is besides pretty obvious of itself, that nothing is ever really present with the mind but its perceptions or impressions and ideas, and that external objects become known to us only by those perceptions they occasion. The conditions of this doctrine are--inasmuch as it must, as a synthesis according to rules, be conformable to the understanding, and at the same time as the absolute unity of the synthesis, to the reason--that, if it is adequate to the unity of reason, it is too great for the understanding, if according with the understanding, it is too small for the reason. He did not reflect that he made no real progress by all his efforts; for he met with no resistance which might serve him for a support, as it were, whereon to rest, and on which he might apply his powers, in order to let the intellect acquire momentum for its progress.