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The phrases in their context!

Extract from A TREATISE OF HUMAN NATURE:

For besides, that a relation of ideas operates secretly and calmly on the mind, it bestows an equal impulse towards the opposite passions of pride and humility, love and hatred, according as the object belongs to ourselves or others; which opposition of the passions must destroy both, and leave the mind perfectly free from any affection or emotion.
This reasoning a priori is confirmed by experience.
No trivial or vulgar object, that causes not a pain or pleasure, independent of the passion, will ever, by its property or other relations either to ourselves or others, be able to produce the affections of pride or humility, love or hatred.
Third Experiment.
It is evident, therefore, that a relation of ideas is not able alone to give rise to these affections.
Let us now remove this relation, and in its stead place a relation of impressions, by presenting an object, which is agreeable or disagreeable, but has no relation either to ourself or companion; and let us observe the consequences.
To consider the matter first a priori, as in the preceding experiment; we may conclude, that the object will have a small, but an uncertain connexion with these passions.
For besides, that this relation is not a cold and imperceptible one, it has not the inconvenience of the relation of ideas, nor directs us with equal force to two contrary passions, which by their opposition destroy each other.
But if we consider, on the other hand, that this transition from the sensation to the affection is not forwarded by any principle, that produces a transition of ideas; but, on the contrary, that though the one impression be easily transfused into the other, yet the change of objects is supposed contrary to all the principles, that cause a transition of that kind; we may from thence infer, that nothing will ever be a steady or durable cause of any passion, that is connected with the passion merely by a relation of impressions.
What our reason would conclude from analogy, after balancing these arguments, would be, that an object, which produces pleasure or uneasiness, but has no manner of connexion either with ourselves or others, may give such a turn to the disposition, as that may naturally fall into pride or love, humility or hatred, and search for other objects, upon which by a double relation, it can found these affections; but that an object, which has only one of these relations, though the most advantageous one, can never give rise to any constant and established passion.
Most fortunately all this reasoning is found to be exactly conformable to experience, and the phaenomena of the passions.
Suppose I were travelling with a companion through a country, to which we are both utter strangers; it is evident, that if the prospects be beautiful, the roads agreeable, and the inns commodious, this may put me into good humour both with myself and fellow-traveller.
But as we suppose, that this country has no relation either to myself or friend.
it can never be the immediate cause of pride or love; and therefore if I found not the passion on some other object, that bears either of us a closer relation, my emotions are rather to be considerd as the overflowings of an elevate or humane disposition, than as an established passion.
The case is the same where the object produces uneasiness.
Fourth Experiment.
Having found, that neither an object without any relation of ideas or impressions, nor an object, that has only one relation, can ever cause pride or humility, love or hatred; reason alone may convince us, without any farther experiment, that whatever has a double relation must necessarily excite these passions; since it is evident they must have some cause.
But to leave as little room for doubt as possible, let us renew our experiments, and see whether the event in this case answers our expectation.
I choose an object, such as virtue, that causes a separate satisfaction: On this object I bestow a relation to self; and find, that from this disposition of affairs, there immediately arises a passion.
But what passion? That very one of pride, to which this object bears a double relation.
Its idea is related to that of self, the object of the passion: The sensation it causes resembles the sensation of the passion.