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“A living organism must be studied from two distinct aspects. One of these is the causal-analytic aspect which is so fruitfully applicable to ontogeny. The other is the historical descriptive aspect which is unravelling lines of phylogeny with ever-increasing precision. Each of these aspects may make suggestions concerning the possible significance of events seen under the other, but does not explain or translate them into simpler terms.”

“I felt I was moving among two groups [literary intellectuals and scientists] comparable in intelligence, identical in race, not grossly different in social origin, earning about the same incomes, who had almost ceased to communicate at all, who in intellectual, moral and psychological climate had so little in common that instead of going from Burlington Hom or South Kensington to Chelsea, one might have crossed an ocean.”

“If it is possible to have a linear unit that depends on no other quantity, it would seem natural to prefer it. Moreover, a mensural unit taken from the earth itself offers another advantage, that of being perfectly analogous to all the real measurements that in ordinary usage are also made upon the earth, such as the distance between two places or the area of some tract, for example. It is far more natural in practice to refer geographical distances to a quadrant of a great circle than to the length of a pendulum.”

“Doctor Johnson said, that in sickness there were three things that were material; the physician, the disease, and the patient: and if any two of these joined, then they get the victory; for, Ne Hercules quidem contra duos [Not even Hercules himself is a match for two]. If the physician and the patient join, then down goes the disease; for then the patient recovers: if the physician and the disease join, that is a strong disease; and the physician mistaking the cure, then down goes the patient: if the patient and the disease join, then down goes the physician; for he is discredited.”

“The discoveries of science, the works of art are explorations - more, are explosions, of a hidden likeness. The discoverer or artist presents in them two aspects of nature and fuses them into one. This is the act of creation, in which an original thought is born, and it is the same act in original science and original art.”

“The errors of a wise man are literally more instructive than the truths of a fool. The wise man travels in lofty, far-seeing regions; the fool in low-lying, high-fenced lanes; retracing the footsteps of the former, to discover where he diviated, whole provinces of the universe are laid open to us; in the path of the latter, granting even that he has not deviated at all, little is laid open to us but two wheel-ruts and two hedges.”

“LEAD, n. A heavy blue-gray metal much used ... as a counterpoise to an argument of such weight that it turns the scale of debate the wrong way. An interesting fact in the chemistry of international controversy is that at the point of contact of two patriotisms lead is precipitated in great quantities.”

“Intelligence is important in psychology for two reasons. First, it is one of the most scientifically developed corners of the subject, giving the student as complete a view as is possible anywhere of the way scientific method can be applied to psychological problems. Secondly, it is of immense practical importance, educationally, socially, and in regard to physiology and genetics.”

“If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).”

“To derive two or three general Principles of Motion from Phænomena, and afterwards to tell us how the Properties and Actions of all corporeal Things follow from those manifest Principles, would be a very great step in Philosophy.”

“In the end, science as we know it has two basic types of practitioners. One is the educated man who still has a controlled sense of wonder before the universal mystery, whether it hides in a snail's eye or within the light that impinges on that delicate organ. The second kind of observer is the extreme reductionist who is so busy stripping things apart that the tremendous mystery has been reduced to a trifle, to intangibles not worth troubling one's head about.”

“With old inflation riding the headlines, I have read till I am bleary-eyed, and I can't get head from tails of the whole thing. ... Now we are living in an age of explanations-and plenty of 'em, too-but no two things that's been done to us have been explained twice the same way, by even the same man. It's and age of in one ear and out the other.”

“...contemporary physicists come in two varieties. Type 1 physicists are bothered by EPR and Bell's Theorem. Type 2 (the majority) are not, but one has to distinguish two subvarieties. Type 2a physicists explain why they are not bothered. Their explanations tend either to miss the point entirely (like Born's to Einstein) or to contain physical assertions that can be shown to be false. Type 2b are not bothered and refuse to explain why.”

“Science and religion are two windows that people look through, trying to understand the big universe outside, trying to understand why we are here. The two windows give different views, but they look out at the same universe. Both views are one-sided, neither is complete. Both leave out essential features of the real world. And both are worthy of respect.”

“Two Chinamen visiting Europe went to the theatre for the first time. One of them occupied himself with trying to understand the theatrical machinery, which he succeeded in doing. The other, despite his ignorance of the language, sought to unravel the meaning of the play. The former is like the astronomer, the latter the philosopher.”

“In a way, being a Mormon prepares you to deal with science fiction, because we live simultaneously in two very different cultures. The result is that we all know what it's like to be strangers in a strange land. It's not just a coincidence that there are so many effective Mormon science fiction writers. We don't regard being an alien as an alien experience. But it also means that we're not surprised when people don't understand what we're saying or what we think.”

“The scientific observer of the realm of nature is in a sense naturally and inevitably disinterested. At least, nothing in the natural scene can arouse his bias. Furthermore, he stands completely outside of the natural so that his mind, whatever his limitations, approximates pure mind. The observer of the realm of history cannot be disinterested in the same way, for two reasons: first, he must look at history from some locus in history; secondly, he is to a certain degree engaged in its ideological conflicts.”

“I look at the natural geological record as a history of the world imperfectly kept and written in a changing dialect; of this history we possess the last volume alone, relating only to two or three countries. Of this volume, only here and there a short chapter has been preserved; and of each page, only here and there a few lines.”

“The most famous self-made man in the world today is our own Edison. Talk with Mr. Edison and he will tell you he owes much if not most of his success to omnivorous reading. Forbes is one of his favorite publications. How closely he reads it can be gathered from a letter just received from him in which he asks the editor to forward a long analytical letter to the writer of a series of articles which contained two figures Mr. Edison questions, and he wants to know exactly on what authority or investigation they were based. Both letters were the product of Mr. Edison and were signed by him.”

“Lucy, dear child, mind your arithmetic. You know in the first sum of yours I ever saw there was a mistake. You had carried two (as a cab is licensed to do), and you ought, dear Lucy, to have carried but one. Is this a trifle? What would life be without arithmetic, but a scene of horrors.”

“Whatever universe a professor believes in must at any rate be a universe that lends itself to lengthy discourse. A universe definable in two sentences is something for which the professorial intellect has no use. No faith in anything of that cheap kind!”

“I had made considerable advance ... in calculations on my favourite numerical lunar theory, when I discovered that, under the heavy pressure of unusual matters (two transits of Venus and some eclipses) I had committed a grievous error in the first stage of giving numerical value to my theory. My spirit in the work was broken, and I have never heartily proceeded with it since.”