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Dantzig Quotes & Sayings

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Top Dantzig Quotes

Dantzig Quotes By Tobias Dantzig

They [the mathematicians of the Enlightenment] defined their terms vaguely and used their methods loosely, and the logic of their arguments was made to fit the dictates of their intuition. In short, they broke all the laws of rigor and of mathematical decorum. The veritable orgy which followed the introduction of the infinitesimals ... was but a natural reaction. Intuition had too long been held imprisoned by the severe rigor of the Greeks. Now it broke loose, and there were no Euclids to keep its romantic flight in check. — Tobias Dantzig

Dantzig Quotes By Tobias Dantzig

Are not most professional mathematicians spared all trouble incident to income? — Tobias Dantzig

Dantzig Quotes By Tobias Dantzig

And so matching by itself is incapable of creating an art of reckoning. Without our ability to arrange things in ordered succession little progress could have been made. Correspondence and succession, the two principles that permeate all mathematics - nay, all realms of exact thought - are woven into the very fabric of our number system. — Tobias Dantzig

Dantzig Quotes By Tobias Dantzig

The practical man demands an appearance of reality at least. Always dealing in the concrete, he regards mathematical terms not as symbols or thought but as images of reality. A system acceptable to the mathematician because of its inner consistency may appear to the practical man to be full of contradictions because of the incomplete manner in which it represents reality. — Tobias Dantzig

Dantzig Quotes By Reza Aslan

Nestorian Christians argued that Jesus had two completely distinct natures - one human, the other divine - while Gnostic Christians, especially those called Docetists, claimed that Jesus only appeared to be human but was in fact fully God. — Reza Aslan

Dantzig Quotes By Will Cuppy

[Footnote:] The Chameleon's face reminded Aristotle of a Baboon. Aristotle wasn't much of a looker himself. — Will Cuppy

Dantzig Quotes By David Van Dantzig

How then shall mathematical concepts be judged? They shall not be judged. Mathematics is the supreme arbiter. From its decisions there is no appeal. We cannot change the rules of the game, we cannot ascertain whether the game is fair. We can only study the player at his game; not, however, with the detached attitude of a bystander, for we are watching our own minds at play. — David Van Dantzig

Dantzig Quotes By Alexis De Tocqueville

The best laws cannot make a constitution work in spite of morals; morals can turn the worst laws to advantage. That is a commonplace truth, but one to which my studies are always bringing me back. It is the central point in my conception. I see it at the end of all my reflections. — Alexis De Tocqueville

Dantzig Quotes By Rudi Van Dantzig

Are you alive, do you still exist? — Rudi Van Dantzig

Dantzig Quotes By Alexander McCall Smith

This was a townscape raised in the teeth of cold winds from the east; a city of winding cobbled streets and haughty pillars; a city of dark nights and candlelight, and intellect. — Alexander McCall Smith

Dantzig Quotes By Tobias Dantzig

The harmony of the universe knows only one musical form - the legato; while the symphony of number knows only its opposite - the staccato. All attempts to reconcile this discrepancy are based on the hope that an accelerated staccato may appear to our senses as a legato. — Tobias Dantzig

Dantzig Quotes By Jol Dantzig

Every guitar has a personality. — Jol Dantzig

Dantzig Quotes By George Dantzig

Linear programming can be viewed as part of a great revolutionary development which has given mankind the ability to state general goals and to lay out a path of detailed decisions to take in order to "best" achieve its goals when faced with practical situations of great complexity. — George Dantzig

Dantzig Quotes By Tobias Dantzig

Mathematics is the supreme judge; from its decisions there is no appeal. — Tobias Dantzig

Dantzig Quotes By Jol Dantzig

Believe me when I say that some of the most amazing music in history was made on equipment that's not as good as what you own right now. — Jol Dantzig

Dantzig Quotes By George Dantzig

True optimization is the revolutionary contribution of modern research to decision processes. — George Dantzig

Dantzig Quotes By John Stuart Mill

Concise mode of expressing the same meaning is, that inseparable accidents are properties which are universal to the species, but not necessary to it. Thus, blackness is an attribute of a crow, — John Stuart Mill

Dantzig Quotes By Tobias Dantzig

The importance of infinite processes for the practical exigencies of technical life can hardly be overemphasized. Practically all applications of arithmetic to geometry, mechanics, physics and even statistics involve these processes directly and indirectly. — Tobias Dantzig

Dantzig Quotes By George Dantzig

The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. To be sure, his art originated in the necessity for clothing such creatures, but this was long ago; to this day a shape will occasionally appear which will fit into the garment as if the garment had been made for it. Then there is no end of surprise and delight. — George Dantzig

Dantzig Quotes By George Dantzig

Industrial production, the flow of resources in the economy, the exertion of military effort in a war, the management of finances
all require the coordination of interrelated activities. What these complex undertakings share in common is the task of constructing a statement of actions to be performed, their timing and quantity (called a program or schedule), that, if implemented, would move the system from a given initial status as much as possible towards some defined goal — George Dantzig

Dantzig Quotes By George Dantzig

Linear programming is viewed as a revolutionary development giving man the ability to state general objectives and to find, by means of the simplex method, optimal policy decisions for a broad class of practical decision problems of great complexity. In the real world, planning tends to be ad hoc because of the many special-interest groups with their multiple objectives. — George Dantzig

Dantzig Quotes By John Green

I'm a big believer in pairing classics with contemporary literature, so students have the opportunity to see that literature is not a cold, dead thing that happened once but instead a vibrant mode of storytelling that's been with us a long time - and will be with us, I hope, for a long time to come. — John Green

Dantzig Quotes By David Van Dantzig

The attempt to apply rational arithmetic to a problem in geometry resulted in the first crisis in the history of mathematics. The two relatively simple problems
the determination of the diagonal of a square and that of the circumference of a circle
revealed the existence of new mathematical beings for which no place could be found within the rational domain. — David Van Dantzig

Dantzig Quotes By Tobias Dantzig

In the history of culture the discovery of zero will always stand out as one of the greatest single achievements of the human race. — Tobias Dantzig

Dantzig Quotes By George Dantzig

It is interesting to note that the original problem that started my research is still outstanding - namely the problem of planning or scheduling dynamically over time, particularly planning dynamically under uncertainty. If such a problem could be successfully solved it could eventually through better planning contribute to the well-being and stability of the world. — George Dantzig

Dantzig Quotes By George Dantzig

If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming. — George Dantzig