I see the expression of... economy clearly in the gradual reduction of the statical laws of machines to a single one, viz., the principle of virtual work: in the replacement of Kepler's laws by Newton's single law... and in the [subsequent] reduction, simplification and clarification of the laws of dynamics. I see clearly the biological-economical adaptation of ideas, which takes place by the principles of continuity (permanence) and of adequate definition and splits the concept 'heat' into the two concepts of 'temperature' and 'quantity of heat'; and I see how the concept 'quantity of heat' leads on to 'latent heat', and to the concepts of 'energy' and 'entropy'.
Ernst MachRelated topics
adaptation clarification concept continuity definition dynamics entropy gradual heat latent law place reduction see simplification single subsequent temperature virtual viz work LawsRelated quotes
We no longer have political movements. While thousands of us may come together for a rally or march, we are bound together on such occasions by a single shared interest. Any effort to convert such interests into collective goals is usually undermined by the fragmented individualism of our concerns. Laudable goals-fighting climate change, opposing war, advocating public healthcare or penalizing bankers-are united by nothing more than the expression of emotion. In our political as in our economic lives, we have become consumers: choosing from a broad gamut of competing objectives, we find it hard to imagine ways or reasons to combine these into a coherent whole. We must do better than this.
Tony Judt
What is a charitable heart? It is a heart which is burning with love for the whole creation, for men, for the birds, for the beasts ... for all creatures. He who has such a heart cannot see or call to mind a creature without his eyes being filled with tears by reason of the immense compassion which seizes his heart; a heart which is softened and can no longer bear to see or learn from others of any suffering, even the smallest pain being inflicted upon a creature. That is why such a man never ceases to pray for the animals ... [He is] ... moved by the infinite pity which reigns in the hearts of those who are becoming united with God.
Isaac the Syrian
Our present undisputed control of the sea was achieved primarily through the employment of naval air-sea forces in the destruction of Japanese and German sea power. It was consolidated by the subsequent reduction of these nations to their present impotence, in which the employment of naval air-sea forces against land objectives played a vital role. It can be perpetuated only through the maintenance of balanced naval forces of all categories adequate to our strategic needs (which include those of the non-totalitarian world), and which can flexibly adjust to new modes of air-sea warfare and which are alert to develop and employ new weapons and techniques as needed.
Chester W. Nimitz
The method applied by Newton to the grounding of the Infinitesimal Calculus, and which since the beginning of this century has been recognised by the best mathematicians as the only one that furnishes sure results, is the method of limits. The method consists in this, viz., instead of considering a continuous transition from one value of a quantity to another, from one position to another, or, speaking generally, from one determination of a concept to another, one considers in the first place a transition through a finite number of intervals and then allows the number of these intervals to increase so that the distances of two successive points of division all decrease infinitely.
Bernhard Riemann
Given my interest in the concept of time, it was only natural that my attention was focused on the second principle, as I felt from the start that it would introduce a new, unexpected element into the description of physical world evolution. No doubt it was the same impression illustrious physicists such as Boltzmann and Planck would have felt before me. A huge part of my scientific career would then be devoted to the elucidation of macroscopic as well as microscopic aspects of the second principle, in order to extend its validity to new situations, and to the other fundamental approaches of theoretical physics, such as classical and quantum dynamics.
Ilya Prigogine