Oyonale - 3D art and graphic experiments
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.
.
The qualities, that produce both, are agreeable, and give pleasure. In one word, a full and clear definition ought, in philosophy, rather to form the conclusion than the commencement of our labours.* In mathematics, on the contrary, we cannot have a conception prior to the definition; it is the definition which gives us the conception, and it must for this reason form the commencement of every chain of mathematical reasoning. For, in this case, the existence of the supposed thing is connected with our perception in a possible experience, and we are able, with the guidance of these analogies, to reason in the series of possible perceptions from a thing which we do really perceive to the thing we do not perceive. Now, I may admit the existence of an incomprehensible being of this nature--the object of a mere idea, relatively to the world of sense; although I have no ground to admit its existence absolutely and in itself. But perhaps it may be said, that though no will or action can be immediately contradictory to reason, yet we may find such a contradiction in some of the attendants of the action, that is, in its causes or effects. The same natural obligation of interest takes place among independent kingdoms, and gives rise to the same morality; so that no one of ever so corrupt morals will approve of a prince, who voluntarily, and of his own accord, breaks his word, or violates any treaty.
Take, for example, the series m, n, o, in which n is given as conditioned in relation to m, but at the same time as the condition of o, and let the series proceed upwards from the conditioned n to m (l, k, i, etc.), and also downwards from the condition n to the conditioned o (p, q, r, etc.)--I must presuppose the former series, to be able to consider n as given, and n is according to reason (the totality of conditions) possible only by means of that series.