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There was yet another disadvantage attaching to the whole of Newton__ physical inquiries, ... the want of an appropriate notation for expressing the conditions of a dynamical problem, and the general principles by which its solution must be obtained. By the labours of LaGrange, the motions of a disturbed planet are reduced with all their complication and variety to a purely mathematical question. It then ceases to be a physical problem; the disturbed and disturbing planet are alike vanished: the ideas of time and force are at an end; the very elements of the orbit have disappeared, or only exist as arbitrary characters in a mathematical formula.

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The scientist has a lot of experience with ignorance and doubt and uncertainty, and this experience is of very great importance, I think. When a scientist doesn__ know the answer to a problem, he is ignorant. When he has a hunch as to what the result is, he is uncertain. And when he is pretty damn sure of what the result is going to be, he is still in some doubt. We have found it of paramount importance that in order to progress, we must recognize our ignorance and leave room for doubt. Scientific knowledge is a body of statements of varying degrees of certainty _ some most unsure, some nearly sure, but none absolutely certain. Now, we scientists are used to this, and we take it for granted that it is perfectly consistent to be unsure, that it is possible to live and not know. But I don__ know whether everyone realizes this is true. Our freedom to doubt was born out of a struggle against authority in the early days of science. It was a very deep and strong struggle: permit us to question _ to doubt _ to not be sure. I think that it is important that we do not forget this struggle and thus perhaps lose what we have gained.

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The merits and services of Christianity have been industriously extolled by its hired advocates. Every Sunday its praises are sounded from myriads of pulpits. It enjoys the prestige of an ancient establishment and the comprehensive support of the State. It has the ear of rulers and the control of education. Every generation is suborned in its favor. Those who dissent from it are losers, those who oppose it are ostracised; while in the past, for century after century, it has replied to criticism with imprisonment, and to scepticism with the dungeon and the stake. By such means it has induced a general tendency to allow its pretensions without inquiry and its beneficence without proof.

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The determination of the average man is not merely a matter of speculative curiosity; it may be of the most important service to the science of man and the social system. It ought necessarily to precede every other inquiry into social physics, since it is, as it were, the basis. The average man, indeed, is in a nation what the centre of gravity is in a body; it is by having that central point in view that we arrive at the apprehension of all the phenomena of equilibrium and motion.

AQ
Adolphe Quetelet

Treatise on Man & the Development of His Faculties