... de wiskunde (houdt) zich veel meer bezig (...) met bijvoorbeeld de structuur achter iets of met het bouwwerk van iets. Wiskundigen zijn ook niet … - Carlo Beenakker

... (a flash of insight) never comes by itself, in the sense that it comes effortless. You really need to work for it. There is a good proverb that says "fortuity helps the prepared mind." Insight will come by chance, but you only get it if you are prepared. Insight doesn't come by its own.

In physics you have a bit of everything: you need to be good at solving puzzles, but you also need to see the big picture, to separate important from unimportant things, to quickly understand new materials and quickly see the essence of a paper.

… mathematicians are much more concerned for example with the structure behind something or with the whole edifice. Mathematicians are not really puzzlers. Those who really solve mathematical puzzles are the physicists. If you like to solve mathematical puzzles, you should not study mathematics but physics!