The physicist, in his study of natural phenomena, has two methods of making progress: (1) the method of experiment and observation, and (2) the method of mathematical reasoning. The former is just the collection of selected data; the latter enables one to infer results about experiments that have not been performed. There is no logical reason why the second method should be possible at all, but one has found in practice that it does work and meets with reasonable success.
Paul DiracRelated topics
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The most powerful influence exercised by the Arabs on general natural physics was that directed to the advances of chemistry; a science for which this race created a new era.(...) Besides making laudatory mention of that which we owe to the natural science of the Arabs in both the terrestrial and celestial spheres, we must likewise allude to their contributions in separate paths of intellectual development to the general mass of mathematical science.
Alexander von Humboldt
We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.
James Clerk Maxwell
If physics is too difficult for the physicists, the nonphysicist may wonder whether he should try at all to grasp its complexities and ambiguities. It is undeniably an effort, but probably one worth making, for the basic questions are important and the new experimental results are often fascinating. And if the layman runs into serious perplexities, he can be consoled with the thought that the points which baffle him are more than likely the ones for which the professionals have not found satisfactory answers.
Edward Condon
When you have arrived at your country house and have saluted your household, you should make the rounds of the farm the same day, if possible; if not, then certainly the next day. When you have observed how the field work has progressed, what things have been done, and what remains undone, you should summon your overseer the next day, and should call for a report of what work has been done in good season and why it has not been possible to complete the rest, and what wine and corn and other crops have been gathered.
Cato the Elder
It [will-making] is the latest opportunity we have of exercising the natural perversity of the disposition ... This last act of our lives seldom belies the former tenor of them for stupidity, caprice, and unmeaning spite. All that we seem to think of is to manage matters so (in settling accounts with those who are so unmannerly as to survive us) as to do as little good, and to plague and disappoint as many people, as possible.
William Hazlitt