Definitely not required, but seen often and glamorized by media
Committed confidence. Else, Tate would be this generation's Edison.
extremes are easy for audiences to understand, accept, or distance from. and it seems a lot of what we deem “great” these days involves an audience
Hamming’s take: https://www.cs.virginia.edu/~robins/YouAndYourResearch.html
Self confidence yes. Optimism yes. Perseverance yes. Arrogance no.
Absolutely not. Humble patient collaboration gets the goods :)
As a replacement to purpose, yes, but might take everything in a misguided direction.
No, other way around. Creating great things causes arrogance.
Need to be willing to bet on yourself which requires to believe you're directionally more correct than the masses -- so to an extent yes (mild arrogance)