There are, in fact, as I began to say above, not a few principles which are the special property of mathematics, such principles as are discovered by the common light of nature, require no demonstration, and which concern quantities primarily; then they are applied to other things, so far as the latter have something in common with quantities. Now there are more of these principles in mathematics than in the other theoretical sciences because of that very characteristic of the human understanding which seems to be such from the law of creation, that nothing can be known completely except quantities or by quantities. And so it happens that the conclusions of mathematics are most certain and indubitable.
Johannes KeplerRelated topics
above begin certain characteristic common far few human indubitable known law light mathematics nature nothing now property something understanding things sciencesRelated quotes
I had long been drawn to socialism and communism, and Russia had appealed to me. Much in Soviet Russia I dislike - the ruthless suppression of all contrary opinion, the wholesale regimentation, the unnecessary violence (as I thought) in carrying out various policies. But there was no lack of violence and suppression in the capitalist world, and I realised more and more bow the very basis and foundation of our acquisitive society and property was violence. Without violence it could not continue for many days. A measure of political liberty meant little indeed when the fear of starvation was always compelling the vast majority of people everywhere to submit to the will of the few, to the greater glory and advantage of the latter.
Jawaharlal Nehru
You can see the pains I take to hide the attachment [of the muscles] at the clavicles and sternum, to soften the modeling of the ribs where it seems that the breasts just begin to swell; I try to go about it entirely differently from the usual way, which is above all to show what one knows. As this is not an anatomy lesson, I must bind together as seen in nature everything covering the armatures that make up and support the body, in order to put down only what I experience faced with these tissues of flesh that let one sens the blood beneath, while they reflect the light of the sky. In a word, I must bring to the painting of that breast the same artlessness I would employ in painting a bottle of milk.
Jean-Baptiste-Camille Corot
What this book is about is a kind of analysis that is characteristic of a large part of the social sciences, especially the more theoretical part. That kind of analysis explores the relation between the behavior of individuals who compromise some social aggregate, and the characteristics of the aggregate.These situations, in which people's behavior or people's choices depend on the behavior or choices of other people, are the ones that usually don't permit any simple summation or extrapolation of the aggregates. To make that connection we usually have to look at the system of interaction between individuals and their environment, that is, between individuals and other individuals or between individuals and the collectivity.
Thomas Schelling
Pure Mathematics is the class of all propositions of the form "p implies q,” where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.
Bertrand Russell
I rely on two precedents: first, to similar cases our Sages applied the verse, "It is time to do something in honour of the Lord: for they have made void thy law"... Secondly, they have said, "Let all thy acts be guided by pure intentions." ...Lastly, when I have a difficult subject before me-when I find the road narrow, and can see no other way of teaching a well established truth except by pleasing one intelligent man and displeasing ten thousand fools-I prefer to address myself to the one man, and to take no notice whatever of the condemnation of the multitude; I prefer to extricate that intelligent man from his embarrassment and show him the cause of his perplexity, so that he may attain perfection and be at peace.
Maimonides