It is obvious that anything a scientist discovers or invents is based on previous discoveries and inventions. The same applies to the arts.
I don't dare postulate about science, but I know that it takes both emotion and intellect in order for art to happen.
Yes, influences are enriching, and they can be found in every work of art, even the most original.
Personality is essential. It is in every work of art. When someone walks on stage for a performance and has charisma, everyone is convinced that he has personality. I find that charisma is merely a form of showmanship. Movie stars usually have it. A politician has to have it.
In the nineteenth century the more grandiose word inspiration began to replace the word idea in the arts.