G. H. Hardy (1877-1947) was a prominent English mathematician, well-known to mathematicians for his achievements in analysis and number theory -- and for his mentorship of the Indian mathematician, Srinivasa Ramanajuan. For most people outside of mathematics, Hardy is better known for his 1940 expository essay, A Mathematician's Apology; here are Hardy's opening sentences:
ENLARGE the view expressed by G. H. Hardy
(and his followers)
The network of mathematicians, as I know it, reminds me of a graph -- a connected collection of edges and vertices in which the vertices represent those mathematicians whose work focuses on mathematics, itself -- discovering and verifying important ideas and relationships. Some of the rest of us qualify better as edges -- for we study mathematics, learning what others have discovered, and connect and communicate these ideas via writing and teaching.
mathematics is not known --
and, therefore, not as useful