I found the best ideas usually came, not when one was actively striving for them, but when one was in a more relaxed stateโฆ I used to take long solitary walks on Sundays, during which I tended to review the current situation in a leisurely way. Such occasions often proved fruitful, even though (or perhaps, because) the primary purpose of the walk was relaxation and not research.
Paul DiracIt is more important to have beauty in one's equations than to have them fit experiment... 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. If there is not complete agreement between the results of one's work and experiment, one should not allow oneself to be too discouraged, because the discrepancy may well be due to minor features that are not properly taken into account and that will get cleared up with further developments of the theory.
Paul DiracA theory with mathematical beauty is more likely to be correct than an ugly one that fits some experimental data.
Paul DiracA book on the new physics, if not purely descriptive of experimental work, must essentially be mathematical.
Paul DiracWhat makes the theory of relativity so acceptable to physicists in spite of its going against the principle of simplicity is its great mathematical beauty. This is a quality which cannot be defined, any more than beauty in art can be defined, but which people who study mathematics usually have no difficulty in appreciating.
Paul Dirac