A Quote 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

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Been Broke Check Decorum Defined Dictates Enlightenment Fit Flight Followed Greeks Had Held Imprisoned Introduction Intuition Keep Laws Logic Long Loose Loosely Made Mathematical Mathematicians Methods Natural Now Reaction Rigor Romantic Severe Short Terms Too Used Were Which

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Tobias Dantzig
American - Mathematician
February 19, 1884 - August 9, 1956

The object of mathematical rigor is to sanction and legitimize the conquests of intuition, and there was never any other object for it.

Jacques Hadamard

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

Morris Kline

Grow with discipline. Balance intuition with rigor. Innovate around the core. Don't embrace the status quo.

Howard Schultz

Only those will apprehend religion who can probe its depth, who can combine intuition and love with the rigor of method

Abraham Joshua Heschel

When Nikita Khrushchev wrapped himself in the bloody mantle of the Czars he broke Hungary, he broke the little Communist parties over the western world, and he broke the hearts of many honest men who had trusted a little too far, a little too long.

James Cameron

I see myself as a journalist reporting neglected stories about our past and trying to bring rigor, reason and intuition to the quest.

Graham Hancock

The fact, and the intuition or logic about the fact, are severe coordinates in fiction. In the short story they must cross with hair-line precision.

Louise Bogan

Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. The activity of the intuition consists in making spontaneous judgements which are not the result of conscious trains of reasoning. The exercise of ingenuity in mathematics consists in aiding the intuition through suitable arrangements of propositions, and perhaps geometrical figures or drawings.

Alan Turing

The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation.

Marquis De Custine

But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it Hilbert's, Einstein's or Gödel's intuition.

Mikhail Leonidovich Gromov

Eventually, Aristotle appeared among the Greeks. He improved the methods of logic and systematized its problems and details. He assigned to logic its proper place as the first philosophical discipline and the introduction to philosophy. Therefore he is called the First Teacher.

Ibn Khaldun

We're living in a Dark Age of macroeconomics. Remember, what defined the Dark Ages wasn’t the fact that they were primitive — the Bronze Age was primitive, too. What made the Dark Ages dark was the fact that so much knowledge had been lost, that so much known to the Greeks and Romans had been forgotten by the barbarian kingdoms that followed.

Paul Krugman

I find that the work I do as an actor that's most challenging commands an athleticism or, certainly, a physicality. And also a rigor, a physical rigor.

Jeffrey Wright

For far too long economists have sought to define themselves in terms of their supposedly scientific methods. In fact, those methods rely on an immoderate use of mathematical models, which are frequently no more than an excuse for occupying the terrain and masking the vacuity of the content.

Thomas Piketty

Solon used to say that speech was the image of actions; . . . that laws were like cobwebs, - for that if any trifling or powerless thing fell into them, they held it fast; while if it were something weightier, it broke through them and was off.

Diogenes

Intuition is a combination of insight and imagination that was once attributed to spiritual communication. Mathematicians call it 'fuzzy logic,' drawing conclusions from vague or subjective input. The mind becomes aware without the direct intervention of reasoning. Once you can imagine something you can begin the process of creating it. Executives use intuition to make many product, investment, and hiring decisions, even if they deny it. Success in business may depend on an accurate gut.

Jennifer James

A Quote by Tobias Dantzig

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