When you look at it holistically, von Neumann was more influential in science and mathematics in the 20th century than either Einstein or Planck. He wasn't as obvious a symbol of the scientific revolution, but his contributions to SO MANY THINGS at a fundamental level makes him stand out to me.
Definitely my favorite physicist for the same reason you state. The notion that he just went around different fields and said “here’s how math can improve things,” invented some new approach, and moved on to another field to do it all over again just cracks me up.
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