A person examining too nearly a small portion of a very large circle... would see in this detached portion merely a certain quantity of physical points, grouped in a more or less irregular manner, and so, indeed, as to seem as if they had been arranged by chance... But, placing himself at a greater distance, the eye embraces of necessity a greater number of points, and already a degree of regularity is observable... and by removing still farther from the object, the observer loses sight of the individual points, no longer observes any accidental or odd arrangements amongst them, but discovers at once the law presiding over their general arrangements, and the precise nature of the circle so traced.
Adolphe QueteletRelated topics
certain chance degree distance examining eye general large law less longer nature necessity number observable observer once person placing see sight small pointsRelated quotes
One of the most important axioms is, that as the quantity of any commodity, for instance, plain food, which a man has to consume, increases, so the utility or benefit derived from the last portion used decreases in degree. The decrease in enjoyment between the beginning and the end of a meal may be taken as an example. And I assume that on an average, the ratio of utility is some continuous mathematical function of the quantity of commodity. This law of utility has, in fact, always been assumed by political economists under the more complex form and name of the Law of Supply and Demand. But once fairly stated in its simple form, it opens up the whole of the subject.
William Stanley Jevons
A specimen of research that is to be examined with the help of a microscope has first to be carefully prepared, cleaned, freed from extraneous matter, and firmly kept under the lens. In a similar way, the "bare object” to be examined by wisdom, is prepared by Bare Attention. It cleans the object of investigation from the impurities of prejudice and passion; it frees it from alien admixtures and from points of view not pertaining to it; it holds it firmly before the Eye of Wisdom, by slowing down the transition from the receptive to the active phase of the perceptual or cognitive process, thus giving a vastly improved chance for close and dispassionate investigation.
Nyanaponika Thera
Bohr had... discovered that the frequencies corresponding to very large integers could be calculated accurately from the classical mechanics; they were simply the number of times that an ordinary electron would complete the circuit of its orbit in one second when it was at a very great distance from the nucleus of the atom to which it belonged. This could only mean that when an electron receded to a great distance from the nucleus of its atom, it not only assumed the properties of an ordinary electron, but also behaved as directed by the classical mechanics. Yet the classical mechanics failed completely for the calculation of frequencies corresponding to small orbits.
James Jeans
The free being with absolute freedom proposes to itself certain ends. It wills because it wills, and the willing of an object is itself the last ground of such willing. Thus we have previously determined a free being, and any other determination would destroy the conception of an Ego, or of a free being. Now, if it could be so arranged that the willing of an unlawful end would necessarily - in virtue of an always effective law - result in the very reverse of that end, then the unlawful will would always ANNIHILATE ITSELF. A person could not will that end for the very reason because he did will it; his unlawful will would become the ground of its own annihilation, as the will is indeed always its own last ground.
Johann Gottlieb Fichte
The peculiarity of this strike...has been that a great number of separate trades, which have nothing to do with one another...have shown that they intend to make common cause. You may depend upon it that this is a social fact of the highest importance and of very general importance of the future. I believe that the lesson has been learnt from Ireland, and that it is due to the present Government and to its coercive laws in Ireland, and to the necessity which they have laid upon the people of Ireland in different parts of the country which have no connexion with one another to associate together for an object which they believe to be vital to all. I am much inclined to think that the working men of London have learnt this lesson from Ireland.
William Ewart Gladstone