One feels that artists like Stravinsky and Picasso tapped their potential to the full. Yet the point has to be made - and it is made by their work as well - is that there is no mystique about what they have done. It depends less on an entity like 'genius' and more on qualities we can all share, like courage, humility and dedication.
For many reasons I keep coming back to this observation of Gabriel Josipovici (from his Preface to The Lessons of Modernism and other essays, originally published in 1977):