Oyonale - Créations 3D et expériences graphiques
Trucs marrants Image mixer TrueSpam ShakeSpam ThinkSpam

ThinkSpam

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

.

Thus it appears, that the definitions of mathematics destroy the pretended demonstrations; and that if we have the idea of indivisible points, lines and surfaces conformable to the definition, their existence is certainly possible: but if we have no such idea, it is impossible we can ever conceive the termination of any figure; without which conception there can be no geometrical demonstration.

 

Besides, that we ourselves often change our situation in this particular, we every day meet with persons, who are in a different situation from ourselves, and who coued never converse with us on any reasonable terms, were we to remain constantly in that situation and point of view, which is peculiar to us.

 
Now since these ideas are so loose and uncertain, I would fain ask any mathematician what infallible assurance he has, not only of the more intricate, and obscure propositions of his science, but of the most vulgar and obvious principles? How can he prove to me, for instance, that two right lines cannot have one common segment? Or that it is impossible to draw more than one right line betwixt any two points? should be tell me, that these opinions are obviously absurd, and repugnant to our clear ideas; I would answer, that I do not deny, where two right lines incline upon each other with a sensible angle, but it is absurd to imagine them to have a common segment.
 
  • That logic has advanced in this sure course, even from the earliest times, is apparent from the fact that, since Aristotle, it has been unable to advance a step and, thus, to all appearance has reached its completion.
 We always follow the succession of time in placing our ideas, and from the consideration of any object pass more easily to that, which follows immediately after it, than to that which went before it. Pure reason is a perfect unity; and therefore, if the if the principle presented by it prove to be insufficient for the solution of even a single one of those questions to which the very nature of reason gives birth, we must reject it, as we could not be perfectly certain of its sufficiency in the case of the others. Thus though causation be a philosophical relation, as implying contiguity, succession, and constant conjunction, yet it is only so far as it is a natural relation, and produces an union among our ideas, that we are able to reason upon it, or draw any inference from it. For as like effects necessarily follow from like causes, and in a contiguous time and place, their separation for a moment shews, that these causes are not compleat ones. I shall adduce two propositions. This therefore is one reason, why an intention is requisite to excite either love or hatred. Since we don't spend countless hours answering the tireless questions of the curiosity-seekers, you benefit, because it frees us up in order to dedicate ourselves to your success.