Tao, Terence. “What Is Good Mathematics?,” February 13, 2007. http://arxiv.org/abs/math/0702396.

Variations of this can also be applied to other fields, like history. What makes good history, good historians, good history teachers, etc.?

origin of the phrase? see: https://en.wiktionary.org/wiki/quot_homines_tot_sententi%C3%A6

apparently from Latin, echoing line 454 of Terence’s Phormio

Or the fuller quotation: - quot homines tot sententiae: suo’ quoique mos - as many men, so many minds: to every one his own way - There are as many opinions as there are people who hold them: each has his own correct way

Originality has three dimensions: new sources, new arguments, and/or new audiences.

Originality has many facets including:<br /> - new arguments - new sources - new audiences

What other facets may exist? Think about communication theory to explore this.

I particularly like the new audiences aspect as there are dramatically different audiences for different pieces. (Eg: academic articles, newspapers, magazines, books, blog posts, social media, etc.) A plethora of audiences may be needed to reach the right audiences.

Compare this with Terry Tao's list of mathematical talents which includes communication.

https://fermatslibrary.com/s/perfect-numbers

Apparently Terry Tao's first paper