A Quote by Mikhail Leonidovich Gromov

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

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Anybody Certainty Einstein Experiments Higher Intuition Level Logical More Physical Reliable Rigor Since Than

Quote Author

Mikhail Leonidovich Gromov
French - Mathematician
Born: December 23, 1943

More philosophically-minded critics regarded Einstein's argument for relativity as little more than a logical bait-and-switch ploy: "[T]he supposition of most expounders of the Special Theory, that Einstein has proved the relativity of simultaneity in general - or that his 'simultaneity' is something more than a logical artefact - must manifestly be given up.

Arthur Oncken Lovejoy

The total subject of mathematics is clearly too broad for any of us. I do not think that any mathematician since Gauss has covered it uniformly and fully; even Hilbert did not and all of us are of considerably lesser width quite apart from the question of depth than Hilbert.

John von Neumann

I began to realize that an intuitive understanding and consciousness was more significant than abstract thinking and intellectual logical analysis. Intuition is a very powerful thing, more powerful than intellect, in my opinion. That's had a big impact on my work.

Steve Jobs

Coming back to America was, for me, much more of a culture shock than going to India. The people in the Indian countryside don't use their intellect like we do, they use their intuition instead, and their intuition is far more developed than in the rest of the world. Intuition is a very powerful thing, more powerful than intellect in my opinion. That's had a big impact on my work.

Steve Jobs

There is a shortage of teachers but the January 2001 schools census showed that teacher numbers were at their highest level than at any time since 1984 - and 11,000 higher than 1997.

Estelle Morris

A logical theory may be tested by its capacity for dealing with puzzles, and it is a wholesome plan, in thinking about logic, to stock the mind with as many puzzles as possible, since these serve much the same purpose as is served by experiments in physical science.

Bertrand Russell

The natural scientist is concerned with a particular kind of phenomena ... he has to confine himself to that which is reproducible ... I do not claim that the reproducible by itself is more important than the unique. But I do claim that the unique exceeds the treatment by scientific method. Indeed it is the aim of this method to find and test natural laws.

Wolfgang Pauli

It's clearly possible for a something to acquire higher intelligence than its ancestors: we evolved to be smarter than our ape-like ancestors, and Einstein was smarter than his parents.

Stephen Hawking

It is true that physics gives a wonderful training in precise, logical thinking-about physics. It really does depend upon accurate reproducible experiments, and upon framing hypotheses with the greatest possible freedom from dogmatic prejudice. And if these were the really important things in life, physics would be an essential study for everybody.

Anthony Standen

There is a higher degree of operational excellence and rigor demanded of Stripe than of most companies.

Patrick Collison

Pain and darkness have been our lot since the Fall of Man. But there must be some hope that we can rise to a higher level ... that consciousness can evolve to a plane more benevolent than its counterpoint of a universe hardwired to indifference.

Dan Simmons

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

You have to make more noise than anybody else, you have to make yourself more obtrusive than anybody else, you have to fill all the papers more than anybody else, in fact you have to be there all the time and see that they do not snow you under.

Emmeline Pankhurst

It is possible that the percentage of honest and competent whores is higher than that of plumbers and much higher than that of lawyers. And enormously higher than that of professors.

Robert A. Heinlein

He who has never sinned is less reliable than he who has only sinned once. And someone who has made plenty of errors-though never the same error more than once-is more reliable than someone who has never made any.