![The last thirty years [1925 to 1955] have seen an enormous improvement in the position of geometry as a branch of mathematics, or, rather, have seen the re-integration of geometry into the main fabric of mathematics. Indeed, one can go further and say that with the restoration of geometry to its rightful place in the mathematical scheme the process of fragmentation which had been doing so much harm to mathematics has been reversed, and we may look forward to the day in which there are no longer analysts, algebraists, geometers and so on, but simply mathematicians. Mathematical research has two aspects, motivation and technique, and when the latter gains control the result is apt to be excessive specialisation. The revolution of geometrical thought, and the reinstatement of geometry as one of the major mathematical disciplines, have helped to bring about a unification of mathematics which we may justly regard as one of the major contributions of the last quarter century to the subject. (W. V. D. Hodge)](https://cdn.quotesdtb.com/img/quotes_images_webp/22/w-v-d-hodge-951922.webp)
The last thirty years [1925 to 1955] have seen an enormous improvement in the position of geometry as a branch of mathematics, or, rather, have seen the re-integration of geometry into the main fabric of mathematics. Indeed, one can go further and say that with the restoration of geometry to its rightful place in the mathematical scheme the process of fragmentation which had been doing so much harm to mathematics has been reversed, and we may look forward to the day in which there are no longer analysts, algebraists, geometers and so on, but simply mathematicians. Mathematical research has two aspects, motivation and technique, and when the latter gains control the result is apt to be excessive specialisation. The revolution of geometrical thought, and the reinstatement of geometry as one of the major mathematical disciplines, have helped to bring about a unification of mathematics which we may justly regard as one of the major contributions of the last quarter century to the subject.
W. V. D. HodgeRelated topics
branch century control day forward geometry harm improvement last longer mathematics place position research restoration result revolution seen technique thought thirty unification years fragmentationRelated quotes
In the "Alexandrian" explanation described above, the multiple from which evolution emerges is both secondary and sinful from its origin: it represents in fact (an idea that smacks of Manicheanism and the Hindu metaphysical systems) broken and pulverized unity. Starting from a very much more modern and completely different point of view, let us assert, as our original postulate, that, the multiple (that is, non-being, if taken in the pure state) being the only rational form of a creatable (creabile) nothingness, the creative act is comprehensible only as a gradual process of arrangement and unification, which amounts to accepting that to create is to unite. And, indeed, there is nothing to prevent our holding that union creates. To the objection that union presupposes already existing elements, I shall answer that physics has just shown us (in the case of mass) that experientially (and for all the protests of "common sense") the moving object exists only as the product of its motion.
Pierre Teilhard de Chardin
From the beginning while we were engaged in these issues, I said in interviews with those who came from abroad, even in Najaf or Paris or among my personal words, I have always said that clerics have an occupation which is more important than these executive jobs, and should Islam become victorious, clerics would dedicate themselves to their own occupation. But as we went on with the revolution, we found out that if we tell all clerics to go after their mosques, this country would fall into the throat of America and Soviet Union. We experienced and saw, those who took the lead but were not clerics, even though some of them were religious people, our revolutionary path was not according to their taste, therefore... we temporarily deviate from our original word until this country could be administered by those other than clerics, then clerics will go back to their preach and their own position and they will leave executive matters to others who work for Islam.
Ruhollah Khomeini
The World Game is a precisely defined design science process for arriving at economic, technological and social insights pertinent to humanity's future involvement aboard our planet Earth. The processes consist of mathematical procedures not only as incisive and complex as those involved in celestial navigation, or astro-ballistics, or the space program, but even more so-for, in addition to all the variables common to those sciences and The World Game, the latter involves also all the variables governing the planning of the programs of the industrialization of both Russia and China....The World Game is seven times more complex than China's quarter century industrialization and thirty-five times more complex than was Russia's industrialization problem. The World Game must find the specific means of making five billion humans a total economic and physical success at the earliest possible moment without anyone being advantaged at the expense of another.
Buckminster Fuller
It is not here necessary to examine in detail the causes which led to the American Revolution. In their immediate occasion they were largely economic. The colonists objected to the navigation laws which interfered with their trade, they denied the power of Parliament to impose taxes which they were obliged to pay, and they therefore resisted the royal governors and the royal forces which were sent to secure obedience to these laws. But the conviction is inescapable that a new civilization had come, a new spirit had arisen on this side of the Atlantic more advanced and more developed in its regard for the rights of the individual than that which characterized the Old World. Life in a new and open country had aspirations which could not be realized in any subordinate position. A separate establishment was ultimately inevitable. It had been decreed by the very laws of human nature. Man everywhere has an unconquerable desire to be the master of his own destiny.
Calvin Coolidge
It's early in the process for me, but my infatuation with fame is waning, my need for external approval and the control of other people's opinions is expiring. Practically I've decided that profits from this book will go towards creating a place where recovering addicts like me can run a business based on the ideas in this book. A café and production company run to create community, not money, democratically managed by the workforce. No bosses. No profit. No bullshit. Selling food sourced ethically, grown locally, and served by people who have had a Revolution in their own lives and are now able to learn and give back. Supporting modest creative projects, building a community of people who want to be part of something other than the toxic hegemony. We will start small but we will grow quickly because we have a limitless resource and we are providing an alternative to a dying system. There are no limits to what we can achieve if we behave collectively, responsibly, and humanely.
Russell Brand