A Quote by John Arbuthnot
The Mathematics are Friends to Religion, inasmuch as they charm the Passions, restrain the Impetuosity of the Imagination, and purge the Mind from Error and Prejudice. Vice is Error, Confusion, and false Reasoning; and all Truth is more or less opposite to it. Besides, Mathematical Studies may serve for a pleasant Entertainment for those Hours which young Men are apt to throw away upon their Vices; the Delightfulness of them being such as to make Solitude not only easy, but desirable.
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The Mathematics are Friends to Religion; inasmuch as they charm the Passions, restrain the Impetuosity of Imagination, and purge the Mind from Error and Prejudice.
Mathematical studies may serve for a pleasant entertainment for those hours which young men are apt to throw away upon their vices.
Error is a supposition that pleasure and pain, that intelligence, substance, life, are existent in matter. Error is neither Mind nor one of Mind's faculties. Error is the contradiction of Truth. Error is a belief without understanding. Error is unreal because untrue. It is that which stemma to be and is not. If error were true, its truth would be error, and we should have a self-evident absurdity -namely, erroneous truth. Thus we should continue to lose the standard of Truth.
The discovery of truth is prevented more effectively, not by the false appearance things present and which mislead into error, not directly by weakness of the reasoning powers, but by preconceived opinion, by prejudice.
NO error is infused into the young mind, to lie there dormant, or to be reproduced only when the subject of thought or action recurs to which the error belongs; but the error becomes a model or archetype, after whose likeness the active powers of the mind create a thousand other errors.
We have hitherto considered only two possibilities: that the received opinion may be false, and some other opinion, consequently, true; or that, the received opinion being true, a conflict with the opposite error is essential to a clear apprehension and deep feeling of its truth. But there is a commoner case than either of these; when the conflicting doctrines, instead of being one true and the other false, share the truth between them.
The world always makes the assumption that the exposure of an error is identical with the discovery of truth - that error and truth are simply opposite. They are nothing of the sort. What the world turns to, when it has been cured of one error, is usually simply another error, and maybe one worse than the first one.
No consensus of men can make an error erroneous. We can only find or commit an error, not create it. When we commit an error, we say what was an error already.
There exists a black kingdom which the eyes of man avoid because its landscape fails signally to flatter them. This darkness, which he imagines he can dispense with in describing the light, is error with its unknown characteristics. Error is certainty's constant companion. Error is the corollary of evidence. And anything said about truth may equally well be said about error: the delusion will be no greater.
Reason and free inquiry are the only effective agents against error. Give a loose to them, they will support the true religion by bringing every false one to their tribunal, to the test of their investigation. They are the natural enemies of error and error only. Had not the Roman government permitted free inquiry, Christianity could never have been introduced. Had not free inquiry been indulged at the era of the Reformation, the corruption of Christianity could not have been purged away.
The justification and the purpose of freedom of speech is not to indulge those who want to speak their minds. It is to prevent error and discover truth. There may be other ways of detecting error and discovering truth than that of free discussion, but so far we have not found them.
It is they [men of science] who hold the secret of the mysterious property of the mind by which error ministers to truth, and truth slowly but irrevocably prevails. Theirs is the logic of discovery, the demonstration of the advance of knowledge and the development of ideas, which as the earthly wants and passions of men remain almost unchanged, are the charter of progress, and the vital spark in history.
The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning, and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had, it's as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you.
That queen, of error, whom we call fancy and opinion, is the more deceitful because she does not always deceive. She would be the infallible rule of truth if she were the infallible rule of falsehood; but being only most frequently in error, she gives no evidence of her real quality, for she marks with the same character both that which is true and that which is false.
If I go for the alternative which is false, then obviously I shall be in error; if I take the other side, then it is by... chance that I arrive at the truth, and I shall still be at fault.... In this incorrect use of free will may be found the privation which constitutes the essence of error.
Every failure is a step to success. Every detection of what is false directs us towards what is true: every trial exhausts some tempting form of error. Not only so; but scarcely any attempt is entirely a failure; scarcely any theory, the result of steady thought, is altogether false; no tempting form of Error is without some latent charm derived from Truth.
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