The practice of first developing a clear and precise definition of a process without regard for efficiency, and then using it as a guide and a test in exploring equivalent processes possessing other characteristics, such as greater efficiency, is very common in mathematics. It is a very fruitful practice which should not be blighted by premature emphasis on efficiency in computer execution.
Origami helps in the study of Mathematics and science in many ways. ... Using origami anyone can become a scientific experimenter with no fuss.Martin Kruskal
At present, when the prevailing forms of society have become hindrances to the free expression of human powers, it is precisely the abstract branches of science, Mathematics and theoretical physics, which ... offer a less distorted form of knowledge than other branches of science which are interwoven with the pattern of daily life, and the practicality of which seemingly testifies to their realistic character.max horkheimer
Mathematics is the gate and key of the sciences... Neglect of Mathematics works injury to all knowledge , since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy.roger bacon
General Systems Theory is a name which has come into use to describe a level of theoretical model-building which lies somewhere between the highly generalized constructions of pure Mathematics and the specific theories of the specialized disciplines. Mathematics attempts to organize highly general relationships into a coherent system, a system however which does not have any necessary connections with the "real" world around us. It studies all thinkable relationships abstracted from any concrete situation or body of empirical knowledge.
It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to Mathematics, though she is still forbidden to resort to physics and chemistry.
Like all of Mathematics, game theory is a tautology whose conclusions are true because they are contained in the premises.thomas flanagan
Thanks to my memory, which enabled me to quote Latin and to discuss Greek and Roman civilization, it became obvious to some of my colleagues in other fields that I was interested in things outside Mathematics. This lead quickly to very pleasant relationships.stanislaw ulam
Even in Mathematics his whimsical fancy was sometimes suffered to peep out, and little girls who learnt the rudiments of calculation at his knee found the path they had imagined so thorny set about with roses by reason of the delightful fun with which he would turn a task into a joy. But when the fun was over the little girl would find that she had learnt the lesson (all unknowingly) just the same. Happy little girls who had such a master.
The land of easy Mathematics where he who works adds up and he who retires subtracts.Núria Añó
The subject of management science has evolved for more than 60 years and is now a mature field within the broad category of applied Mathematics. This book will emphasize both the applied and mathematical aspects of management science.
It is noteworthy that modern Platonists , almost without exception, are ignorant of Mathematics, in spite of the immense importance that Plato attached to arithmetic and geometry, and the immense influence that they [these studies] had on his philosophy. This is an example of the evils of specialization: a man must not write on Plato unless he has spent so much of his youth on Greek as to have no time for the things that Plato thought important.
A mathematical formula should never be "owned" by anybody! Mathematics belong to God.donald knuth
Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the world, but every possible world, must conform.bertrand russell
To those who ask what the infinitely small quantity in Mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.leonhard euler
The branches of Mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate Mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.benjamin peirce
We had principles in Mathematics that were granted to be absolute in Mathematics for over 800 years, but new science has gotten rid of those absolutism, gotten forward other different logics of looking at Mathematics, and sort of turned the way we look at it as a science altogether after 800 years.mahmoud ahmadinejad
To those who do not know Mathematics it is difficult to get across a real feeling as to the beauty , the deepest beauty, of nature . ... If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.richard feynman
For Mathematics education and the world of problem solving it marked a line of demarcation between two eras, problem solving before and after Polya.george pólya
It was, however, from Spain, and not from Arabia, that a knowledge of eastern Mathematics first came into western Europe. The Moors had established their rules in Spain in 747, and by the tenth or eleven century had attained a high degree of civilisation.
No one really knew the sciences except the Lord Robert, Bishop of Lincoln, by reason of his length of life and experience, as well as of his studiousness and zeal. He knew Mathematics and perspective, and there was nothing which he was unable to know; and at the same time he was sufficiently acquainted with languages to be able to understand the saints and the philosophers and the wise men of antiquity but his knowledge of languages was not such as to enable him to effect translations until the latter portion of his life...roger bacon
Like all of Mathematics, game theory is a tautology whose conclusions are true because they are contained in the premises.
Math is perfect (in principle), but mathematicians are not (because they are humans), hence the Mathematics that (human) mathematicians do is influenced by the weltanschauung of the people around them.
India was the motherland of our race, and Sanskrit the mother of Europe's languages: she was the mother of our philosophy; mother, through the Arabs, of much of our Mathematics; mother, through the Buddha, of the ideals embodied in Christianity; mother, through the village community, of self-government and democracy. Mother India is in many ways the mother of us all.will durant
If perchance there should be foolish speakers who, together with those ignorant of all Mathematics , will take it upon themselves to decide concerning these things, and because of some place in the Scriptures wickedly distorted to their purpose, should dare to assail this my work, they are of no importance to me, to such an extent do I despise their judgment as rash .
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