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.?
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.?
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