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.
Interpretation
The quote highlights the importance of empirical data in scientific concepts and mathematical constructs.
Werner Heisenberg emphasizes that while science is often viewed as reliant on empirical evidence, the true nature of scientific inquiry involves abstract concepts and theoretical frameworks that extend beyond mere observable quantities. He suggests that if we were to limit ourselves solely to observable data, our understanding of natural laws would be severely restricted, implicating that theory plays a crucial role in the advancement of science.
In practice
This quote could be used in a scientific presentation about the methodologies of research.
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.
It was about three o'clock at night when the final result of the calculation [which gave birth to quantum mechanics] lay before me ... At first I was deeply shaken ... I was so excited that I could not think of sleep. So I left the house ... and awaited the sunrise on top of a rock.
When I meet God, I am going to ask him two questions: Why relativity ? And why turbulence ? I really believe he will have an answer for the first.
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 Same organizing forces that have shaped nature in all her forms are also responsible for the structure of our minds.
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.
Our great struggle in medicine these days is not just with ignorance and uncertainty. It's also with complexity: how much you have to make sure you have in your head and think about. There are a thousand ways things can go wrong.
I think China knows that in the early stages of Covid, it didn't do what it needed to do, which was to, in real time, give access to international experts, in real time to share information, in real time to provide real transparency.
One day I went up to my mom and I said, 'Mom, can I have permission to build a 2.3-million electron-volt atom smasher - a betatron - in the garage?' And my mom stared at me, and she said, 'Sure. Why not? And don't forget to take out the garbage.'
Data is like garbage. You'd better know what you are going to do with it before you collect it.
It has not escaped our notice that the specific pairing we have postulated immediately suggests a possible copying mechanism for the genetic material.
As in biomedical science, pioneering industrial inventions have not been mothered by necessity. Rather, inventions for which there was no commercial use only later became the commercial airplanes, xerography and lasers on which modern society depends.
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