Almost all the greatest discoveries in astronomy have resulted from what we have elsewhere termed Residual Phenomena, of a qualitative or numerical kind, of such portions of the numerical or quantitative results of observation as remain outstanding and unaccounted for, after subducting and allowing for all that would result from the strict application of known principles.
First, In showing in how to avoid attempting impossibilities. Second, In securing us from important mistakes in attempting what is, in itself possible, by means either inadequate or actually opposed to the end in view. Thirdly, In enabling us to accomplish our ends in the easiest, shortest, most economical, and most effectual manner. Fourth, In inducing us to attempt, and enabling us to accomplish, object which, but for such knowledge, we should never have thought of understanding.
On the ways that a knowledge of the order of nature can be of use.
Humans always have fear of an unknown situation -- this is normal. The important thing is what we do about it. If fear is permitted to become a paralyzing thing that interferes with proper action, then it is harmful. The best antidote to fear is to know all we can about a situation.
Were I to pray for a taste which should stand me in good stead under every variety of circumstances and be a source of happiness and a cheerfulness to me during life and a shield against its ills, however things might go amiss and the world frown upon me, it would be a taste for reading.
The end of the eighteenth and the commencement of the nineteenth century are remarkable for the small amount of scientific movement going on in this country, especially in its more exact departments. Mathematics were at the last gasp, and astronomy nearly so; I mean in those members of its frame which depend upon precise measurement and systematic calculation. The chilling torpor of routine had begun to spread itself over all those branches of Science which wanted the excitement of experimental research.
[When nature appears complicated:] The moment we contemplate it as it is, and attain a position from which we can take a commanding view, though but of a small part of its plan, we never fail to recognize that sublime simplicity on which the mind rests satisfied that it has attained the truth.
Accustomed to trace the operation of general causes, and the exemplification of general laws, in circumstances where the uninformed and unenquiring eye perceives neither novelty nor beauty, [the scientist and natural philosopher] walks in the midst of wonders.
Music and dancing (the more the pity) have become so closely associated with ideas of riot and debauchery among the less cultivated classes, that a taste for them, for their own sakes, can hardly be said to exist, and before they can be recommended as innocent or safe amusements, a very great change of ideas must take place.
There is a gentle, but perfectly irresistible coercion in a habit of reading well directed, over the whole tenor of a man's character and conduct, which is not the less effectual because it works insensibly, and because it is really the last thing he dreams of.
No doubt the testimony of natural reason, on whatever exercised, must, of necessity, stop short of those truths which it is the object of revelation to make known; still it places the existence and personal attributes of the Deity on such grounds as to render doubts absurd and atheism ridiculous.
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