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The phrases in their context!

Extract from A TREATISE OF HUMAN NATURE:

In order to shew the fallacy of all this philosophy, I shall endeavour to prove first, that reason alone can never be a motive to any action of the will; and secondly, that it can never oppose passion in the direction of the will.
The understanding exerts itself after two different ways, as it judges from demonstration or probability; as it regards the abstract relations of our ideas, or those relations of objects, of which experience only gives us information.
I believe it scarce will be asserted, that the first species of reasoning alone is ever the cause of any action.
As its proper province is the world of ideas, and as the will always places us in that of realities, demonstration and volition seem, upon that account, to be totally removed, from each other.
Mathematics, indeed, are useful in all mechanical operations, and arithmetic in almost every art and profession: But it is not of themselves they have any influence: Mechanics are the art of regulating the motions of bodies to some designed end or purpose; and the reason why we employ arithmetic in fixing the proportions of numbers, is only that we may discover the proportions of their influence and operation.
A merchant is desirous of knowing the sum total of his accounts with any person: Why? but that he may learn what sum will have the same effects in paying his debt, and going to market, as all the particular articles taken together.
Abstract or demonstrative reasoning, therefore, never influences any of our actions, but only as it directs our judgment concerning causes and effects; which leads us to the second operation of the understanding.
It is obvious, that when we have the prospect of pain or pleasure from any object, we feel a consequent emotion of aversion or propensity, and are carryed to avoid or embrace what will give us this uneasines or satisfaction.
It is also obvious, that this emotion rests not here, but making us cast our view on every side, comprehends whatever objects are connected with its original one by the relation of cause and effect.
Here then reasoning takes place to discover this relation; and according as our reasoning varies, our actions receive a subsequent variation.
But it is evident in this case that the impulse arises not from reason, but is only directed by it.
It is from the prospect of pain or pleasure that the aversion or propensity arises towards any object: And these emotions extend themselves to the causes and effects of that object, as they are pointed out to us by reason and experience.
It can never in the least concern us to know, that such objects are causes, and such others effects, if both the causes and effects be indifferent to us.
Where the objects themselves do not affect us, their connexion can never give them any influence; and it is plain, that as reason is nothing but the discovery of this connexion, it cannot be by its means that the objects are able to affect us.
Since reason alone can never produce any action, or give rise to volition, I infer, that the same faculty is as incapable of preventing volition, or of disputing the preference with any passion or emotion.
This consequence is necessary.
It is impossible reason coued have the latter effect of preventing volition, but by giving an impulse in a contrary direction to our passion; and that impulse, had it operated alone, would have been able to produce volition.
Nothing can oppose or retard the impulse of passion, but a contrary impulse; and if this contrary impulse ever arises from reason, that latter faculty must have an original influence on the will, and must be able to cause, as well as hinder any act of volition.
But if reason has no original influence, it is impossible it can withstand any principle, which has such an efficacy, or ever keep the mind in suspence a moment.
Thus it appears, that the principle, which opposes our passion, cannot be the same with reason, and is only called so in an improper sense.
We speak not strictly and philosophically when we talk of the combat of passion and of reason.