The methods of theoretical physics should be applicable to all those branches of thought in which the essential features are expressible with numbers.
Paul DiracRead
The research worker, in his efforts to express the fundamental laws of Nature in mathematical form, should strive mainly for mathematical beauty. He should take simplicity into consideration in a subordinate way to beauty ... It often happens that the requirements of simplicity and beauty are the same, but where they clash, the latter must take precedence.
Interpretation
What this quote means
The pursuit of mathematical beauty should take priority over simplicity in scientific research.
In this quote, Paul Dirac emphasizes the importance of aesthetic appeal in mathematical expressions of natural laws, suggesting that while simplicity is valuable, it should yield to beauty when the two are in conflict. This highlights a philosophical approach to science where the elegance of formulations is considered a guiding principle in understanding the complexities of nature.
Themes
MathematicsBeautySimplicityNatureScience
In practice
Example use cases
In a lecture about scientific theories, to illustrate the importance of beauty in mathematics.
More from Paul Dirac
All quotes →One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.
Paul DiracRead
The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.
Paul DiracRead
It is quite clear that beauty does depend on one's culture and upbringing for certain kinds of beauty, pictures, literature, poetry and so on...But mathematical beauty is of a rather different kind. I should say perhaps it is of a completely different kind and transcends these personal factors. It is the same in all countries and at all periods of time.
Paul DiracRead
It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress.
Paul DiracRead
There is in my opinion a great similarity between the problems provided by the mysterious behavior of the atom and those provided by the present economic paradoxes confronting the world.
Paul DiracRead
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