There are many books published on creativity and innovation each year. Most are written by consultants or journalists who survey large areas and try to distil some general characteristics. A complementary approach is offered when when a hugely creative individual gives his own personal views, based on results within a specific specialised area.
Using the latter approach, the mathematician Cedric Villani offers seven ingredients conducive to the birth of an idea (see short video above):
- Documentation, for building on what is known
- Motivation incl. early education
- Environment eg life in a big bustling city
- Communication eg massive collaboration in the future
- Constraints, to imaginatively find ways around obstacles
- Illumination coupled with meticulous systematic work
- Luck and tenacity
Villani (born 5 October 1973) is an outstanding French mathematician and was awarded the Fields Medal in 2010 (the highest accolade you can get for contributions to mathematics).
Cedric Villani (picture from WikiMedia)
From The New Yorker:
Villani has been called the Lady Gaga of French mathematicians. After winning the Fields Medal, math’s highest honor, in 2010, for what his award citation called “proofs of nonlinear Landau damping and convergence to equilibrium for the Boltzmann equation,” he embraced a role that many other medalists have dreaded—that of mathematical ambassador, hopscotching from event to event and continent to continent, evangelizing for the discipline. “We are the most hidden of all fields,” he told me. “We are the ones who typically interact the least with the outer world. We are also the field which is most emblematic of revulsion in school.”