I must study politics and war that my sons may have liberty to study mathematics and philosophy.
The whole drift of our law is toward the absolute prohibition of all ideas that diverge in the slightest form from the accepted platitudes, and behind that drift of law there is a far more potent force of growing custom, and under that custom there is a natural philosophy which erects conformity into the noblest of virtues and the free functioning of personality into a capital crime against society.
All the sciences have a relation, greater or less, to human nature; and...however wide any of them may seem to run from it, they still return back by one passage or another. Even Mathematics, Natural Philosophy, and Natural Religion, are in some measure dependent on the science of MAN; since they lie under the cognizance of men, and are judged of by their powers and faculties.
As in Mathematicks, so in Natural Philosophy, the Investigation of difficult Things by the Method of Analysis, ought ever to precede the Method of Composition. This Analysis consists in making Experiments and Observations, and in drawing general Conclusions from them by Induction, and admitting of no Objections against the Conclusions, but such as are taken from Experiments, or other certain Truths. For Hypotheses are not to be regarded in experimental Philosophy.
what are the objects of an useful American education? classical knowlege, modern languages & chiefly French, Spanish, & Italian; Mathematics; Natural philosophy; Natural History; Civil History; Ethics.
Live in the fields, and God will give you lectures on natural philosophy every day.
The harmony of the world is made manifest in Form and Number, and the heart and soul and all the poetry of Natural Philosophy are embodied in the concept of mathematical beauty.
The main Business of Natural Philosophy is to argue from Phænomena without feigning Hypotheses, and to deduce Causes from Effects till we come to the very first Cause, which certainly is not mechanical; and not only to unfold the Mechanism of the World, but chiefly to resolve these, and to such like Questions.
In every principle presented to us, our first inquiry should be, "Is it true?" "Does it emanate from God?" If he is its Author it can be sustained just as much as any other truth in natural philosophy; if false it should be opposed and exposed just as much as any other error.
In Philosophy, the contemplations of man do either penetrate unto God, or are circumferred to Nature, or are reflected and reverted upon himself. Out of which several inquiries there do arise three knowledges, Divine Philosophy, Natural Philosophy, and Human Philosophy or Humanity. For all things are marked and stamped with this triple character of the power of God, the difference of Nature and the use of Man.
For even they who compose treatises of medicine or natural philosophy in verse are denominated Poets: yet Homer and Empedocles have nothing in common except their metre; the former, therefore, justly merits the name of the Poet; while the other should rather be called a Physiologist than a Poet.
There is no more open door by which you can enter into the study of natural philosophy than by considering the physical phenomena of a candle
This incomparable Author having at length been prevailed upon to appear in public, has in this Treatise given a most notable instance of the extent of the powers of the Mind; and has at once shown what are the Principles of Natural Philosophy, and so far derived from them their consequences, that he seems to have exhausted his Argument, and left little to be done by those that shall succeed him.a
If alpha [the fine-structure constant] were bigger than it really is, we should not be able to distinguish matter from ether [the vacuum, nothingness], and our task to disentangle the natural laws would be hopelessly difficult. The fact however that alpha has just its value 1/137 is certainly no chance but itself a law of nature. It is clear that the explanation of this number must be the central problem of natural philosophy.
I am myself an empiric in natural philosophy, suffering my faith to go no further than my facts. I am pleased, however, to see the efforts of hypothetical speculation, because by the collisions of different hypotheses, truth may be elicited and science advanced in the end.
Our imagination is struck only by what is great; but the lover of natural philosophy should reflect equally on little things.
Histories make men wise; poets, witty; the mathematics, subtle; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.
We find sects and parties in most branches of science; and disputes which are carried on from age to age, without being brought to an issue. Sophistry has been more effectually excluded from mathematics and natural philosophy than from other sciences. In mathematics it had no place from the beginning; mathematicians having had the wisdom to define accurately the terms they use, and to lay down, as axioms, the first principles on which their reasoning is grounded. Accordingly, we find no parties among mathematicians, and hardly any disputes.
All the moral laws are readily translated into natural philosophy, for often we have only to restore the primitive meaning of thewords by which they are expressed, or to attend to their literal instead of their metaphorical sense. They are already supernatural philosophy.
I will simply express my strong belief, that that point of self-education which consists in teaching the mind to resist its desires and inclinations, until they are proved to be right, is the most important of all, not only in things of natural philosophy, but in every department of dally life.
or simply: