The solution of the difficulty is that the two mental pictures which experiment lead us to form - the one of the particles, the other of the waves - are both incomplete and have only the validity of analogies which are accurate only in limiting cases.

Natural science, does not simply describe and explain nature; it is part of the interplay between nature and ourselves.

Every word or concept, clear as it may seem to be, has only a limited range of applicability.

The problems of language here are really serious. We wish to speak in some way about the structure of the atoms. But we cannot speak about atoms in ordinary language.

The solution of the difficulty is that the two mental pictures which experiment lead us to form - the one of the particles, the other of the waves - are both incomplete and have only the validity of analogies which are accurate only in limiting cases.

The violent reaction on the recent development of modern physics can only be understood when one realises that here the foundations of physics have started moving; and that this motion has caused the feeling that the ground would be cut from science.

What we observe is not nature itself, but nature exposed to our method of questioning.

Although the theory of relativity makes the greatest of demands on the ability for abstract thought, still it fulfills the traditional requirements of science insofar as it permits a division of the world into subject and object (observer and observed) and, hence, a clear formulation of the law of causality.

I believe this uranium business will give the Anglo-Saxons such tremendous power that Europe will become a bloc under Anglo-Saxon domination. If that is the case, it will be a very good thing. I wonder whether Stalin will be able to stand up to the others as he has done in the past.

I had imagined doing nuclear physics and cosmic ray work in greater style in peace time. To do modern physics in a small way is of no use of all.

I think that if a United States of Europe were to be formed, it would be in our interests to fight for it, as all our old traditions would remain in such a united Europe, whereas if we were to start now as part of the Russian Empire, everything that had ever been in Germany would disappear.

I would like to mention astrophysics; in this field, the strange properties of the pulsars and quasars, and perhaps also the gravitational waves, can be considered as a challenge.

I would say that I was absolutely convinced of the possibility of our making an uranium engine, but I never thought that we would make a bomb; and at the bottom of my heart, I was really glad that it was to be an engine and not a bomb.

In 1924, I became a Dozent in Gottingen and worked out the quantum mechanics during a holiday stay on Heligoland.

In America, it was decided to attempt the production of atomic bombs with an effort that would constitute a large part of the collective American war effort. In Germany, an effort one thousandth the scale of the American was applied to the problem of producing atomic energy that would drive engines.

It is generally believed that our science is empirical and that we draw our concepts and our mathematical constructs from the empirical data. If this were the whole truth, we should, when entering into a new field, introduce only such quantities as can directly be observed, and formulate natural laws only by means of these quantities.

It is seen that both matter and radiation possess a remarkable duality of character, as they sometimes exhibit the properties of waves, at other times those of particles. Now, it is obvious that a thing cannot be a form of wave motion and composed of particles at the same time - the two concepts are too different.

It is true that in quantum theory we cannot rely on strict causality. But by repeating the experiments many times, we can finally derive from the observations statistical distributions, and by repeating such series of experiments, we can arrive at objective statements concerning these distributions.

One may say that in a state of science where fundamental concepts have to be changed, tradition is both the condition for progress and a hindrance. Hence, it usually takes a long time before the new concepts are generally accepted.

Our house was destroyed in 1943, and I moved the family to a cottage I owned before the war in the Bavarian Alps. This cottage was meant for a very few people, and at the end of the war, there were about 13 people in this very small house.

Reports in Washington show that our reasoning was just like that of your physicists. With all this information available, at least to privileged persons, I cannot understand why it is generally held in the United States that we completely missed the basic principle of the bomb until after Hiroshima.

The Anglo-Americans want the balance of power in Eurasia. The only balance of power they can achieve now is the whole of Europe against Russia. The only choice for us is either to join this Western European bloc or join in with Russia.

The German physicists knew at least so much about the manufacture and construction of atomic bombs that it was clear to them that the manufacture of bombs in Germany could not succeed during the war. For this reason, they were spared the moral decision whether they should make an atomic bomb, and they had only worked on the uranium engine.

The end of the First World War had thrown Germany's youth into great turmoil. The reins of power had fallen from the hands of a deeply disillusioned older generation, and the younger ones drew together in larger and smaller groups to blaze new paths or, at least, to discover a new star to steer by.

The uncertainty principle refers to the degree of indeterminateness in the possible present knowledge of the simultaneous values of various quantities with which the quantum theory deals; it does not restrict, for example, the exactness of a position measurement alone or a velocity measurement alone.

The uncertainty relation does not refer to the past; if the velocity of the electron is at first known and the position then exactly measured, the position for times previous to the measurement may be calculated.

There is a great difference between discoveries and inventions. With discoveries, one can always be skeptical, and many surprises can take place. In the case of inventions, surprises can really only occur for people who have not had anything to do with it.

Not only is the Universe stranger than we think, it is stranger than we can think.

After the conversations about Indian philosophy, some of the ideas of Quantum Physics that had seemed so crazy suddenly made much more sense.

There are things that are so serious that you can only joke about them.

Every tool carries with it the spirit by which it has been created.

It's the difficulty we had with Mr. Bean, actually, when it went from TV to film. You certainly discover that you need to explain more about a character.

Divide each difficulty into as many parts as is feasible and necessary to resolve it.

The honest truth is that if this government were to propose the massacre of the first-born, it would still have no difficulty in getting it through the Commons.

A lot of these industries are having difficulty finding reliable workers with the skills they require.

Bad company is like a nail driven into a post, which, after the first and second blow, may be drawn out with little difficulty; but being once driven up to the head, the pincers cannot take hold to draw it out, but which can only be done by the destruction of the wood.

I think the biggest difficulty is that when I'm here in America, there's a necessity of using English, so I really have a great sense of really wanting to learn, but unfortunately when I head back to Japan, the necessity vanishes and so does my enthusiasm about learning.

I'm sure that you could go back and make a graph showing that all the killings of black males increased in times of economic difficulty. As a matter of fact, a black man was lynched last year.

Conquering any difficulty always gives one a secret joy, for it means pushing back a boundary-line and adding to one's liberty.

Let there be no illusions about the difficulty of forming this kind of a national community. It's tough, difficult, not easy. But a spirit of harmony will survive in America only if each of us remembers that we share a common destiny.

The accumulation of skill and science which has been directed to diminish the difficulty of producing manufactured goods, has not been beneficial to that country alone in which it is concentrated; distant kingdoms have participated in its advantages.

For example, in painting the form arises from abstract elements of line and color, while in cinema the material concreteness of the image within the frame presents - as an element - the greatest difficulty in manipulation.

The difficulty of literature is not to write, but to write what you mean; not to affect your reader, but to affect him precisely as you wish.

The mind unlearns with difficulty what it has long learned.

I should point out, however, that at first some difficulty was experienced in observing the phenomena predicted by the theory, owing to the extreme smallness of the variations in the period of oscillation.

Perhaps, to the uninformed, it may appear unaccountable that a man should be able to retain in his memory such a variety of learning; but the close alliance with each other, of the different branches of science, will explain the difficulty.

Given the difficulty of resisting such temptations over the longer run, a proper concern for the welfare of congressional souls may well be the ultimate argument in favor of term limitations.

If most people are not willing to see the difficulty, this is mainly because, consciously or unconsciously, they assume that it will be they who will settle these questions for the others, and because they are convinced of their own capacity to do this.

It is a high patriotic duty that we support and sustain the men who have been placed in position of difficulty, burden, responsibility, and even danger as the result of our suffrages.