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Bertrand Russell

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It is true that numerous instances are not always necessary to establish a law, provided the essential and relevant circumstances can easily be disentangled. But, in history, so many circumstances of a small and accidental nature are relevant, that no broad and simple uniformities are possible. Where our main endeavour is to discover general laws, we regard these as intrinsically more valuable than any of the facts which they inter-connect. In astronomy, the law of gravitation is plainly better worth knowing than the position of a particular planet on a particular night, or even on every night throughout a year. There are in the law a splendour and simplicity and sense of mastery which illuminate a mass of otherwise uninteresting details... But in history the matter is far otherwise... Historical facts, many of them, have an intrinsic value, a profound interest on their own account, which makes them worthy of study, quite apart from any possibility of linking them together by means of causal laws.
--
On History (1904).

 
Bertrand Russell

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Before entering into these details, however, it may be well to reply to the very natural question: What would be the use of such extreme refinement in the science of measurement? Very briefly and in general terms the answer would be that in this direction the greater part of all future discovery must lie. The more important fundamental laws and facts of physical science have all been discovered, and these are so firmly established that the possibility of their ever being supplanted in consequence of new discoveries is exceedingly remote. Nevertheless, it has been found that there are apparent exceptions to most of these laws, and this is particularly true when the observations are pushed to a limit, i.e., whenever the circumstances of experiment are such that extreme cases can be examined. Such examination almost surely leads, not to the overthrow of the law, but to the discovery of other facts and laws whose action produces the apparent exceptions.

As instances of such discoveries, which are in most cases due to the increasing order of accuracy made possible by improvements in measuring instruments, may be mentioned: first, the departure of actual gases from the simple laws of the so-called perfect gas, one of the practical results being the liquefaction of air and all known gases; second, the discovery of the velocity of light by astronomical means, depending on the accuracy of telescopes and of astronomical clocks; third, the determination of distances of stars and the orbits of double stars, which depend on measurements of the order of accuracy of one-tenth of a second—an angle which may be represented as that which a pin's head subtends at a distance of a mile. But perhaps the most striking of such instances are the discovery of a new planet by observations of the small irregularities noticed by Leverier in the motions of the planet Uranus, and the more recent brilliant discovery by Lord Rayleigh of a new element in the atmosphere through the minute but unexplained anomalies found in weighing a given volume of nitrogen. Many instances might be cited, but these will suffice to justify the statement that "our future discoveries must be looked for in the sixth place of decimals." It follows that every means which facilitates accuracy in measurement is a possible factor in a future discovery, and this will, I trust, be a sufficient excuse for bringing to your notice the various methods and results which form the subject matter of these lectures.

 
Albert Abraham Michelson
 

The general laws of Nature are not, for the most part, immediate objects of perception. They are either inductive inferences from a large body of facts, the common truth in which they express, or, in their origin at least, physical hypotheses of a causal nature serving to explain phenomena with undeviating precision, and to enable us to predict new combinations of them. They are in all cases, and in the strictest sense of the term, probable conclusions, approaching, indeed, ever and ever nearer to certainty, as they receive more and more of the confirmation of experience. But of the character of probability, in the strict and proper sense of that term, they are never wholly divested. On the other hand, the knowledge of the laws of the mind does not require as its basis any extensive collection of observations. The general truth is seen in the particular instance, and it is not confirmed by the repetition of instances.

 
George Boole
 

Political realism believes that politics, like society in general, is governed by objective laws that have their roots in human nature. In order to improve society it is first necessary to understand the laws by which society lives. The operation of these laws being impervious to our preferences, men will challenge them only at the risk of failure.
Realism, believing as it does in the objectivity of the laws of politics, must also believe in the possibility of developing a rational theory that reflects, however imperfectly and one-sidedly, these objective laws. It believes also, then, in the possibility of distinguishing in politics between truth and opinion — between what is true objectively and rationally, supported by evidence and illuminated by reason, and what is only a subjective judgment, divorced from the facts as they are and informed by prejudice and wishful thinking.

 
Hans Morgenthau
 

No former age was ever in such a favorable position with regard to the sources of our knowledge of human nature. Psychology, ethnology, anthropology, and history have amassed an astonishingly rich and constantly increasing body of facts. Our technical instruments for observation and experimentation have been immensely improved, and our analyses have become sharper and more penetrating. We appear, nevertheless, not yet to have found a method for the mastery and organization of this material.... Unless we succeed in finding a clue of Ariadne to lead us out of this labyrinth, we can have no real insight into the general character of human culture; we shall remain lost in a mass of disconnected and disintegrated data which seem to lack all conceptual unity.

 
Ernst Cassirer
 

They have no lawyers among them, for they consider them as a sort of people whose profession it is to disguise matters and to wrest the laws, and, therefore, they think it is much better that every man should plead his own cause, and trust it to the judge, as in other places the client trusts it to a counsellor; by this means they both cut off many delays and find out truth more certainly; for after the parties have laid open the merits of the cause, without those artifices which lawyers are apt to suggest, the judge examines the whole matter, and supports the simplicity of such well-meaning persons, whom otherwise crafty men would be sure to run down; and thus they avoid those evils which appear very remarkably among all those nations that labour under a vast load of laws. Every one of them is skilled in their law; for, as it is a very short study, so the plainest meaning of which words are capable is always the sense of their laws; and they argue thus: all laws are promulgated for this end, that every man may know his duty; and, therefore, the plainest and most obvious sense of the words is that which ought to be put upon them, since a more refined exposition cannot be easily comprehended, and would only serve to make the laws become useless to the greater part of mankind, and especially to those who need most the direction of them; for it is all one not to make a law at all or to couch it in such terms that, without a quick apprehension and much study, a man cannot find out the true meaning of it, since the generality of mankind are both so dull, and so much employed in their several trades, that they have neither the leisure nor the capacity requisite for such an inquiry.

 
St. Thomas More
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