Pure Mathematicians versus Applied Mathematicians

“A pure mathematician, when stuck on the problem under study, often decides to narrow the problem further and so avoid the obstruction. An applied mathematician interprets being stuck as an indication that it is time to learn more mathematics and find better tools” 

Distinguished differential geometer Eugenio Calabi

Ref: https://www.quantamagazine.org/20151203-big-datas-mathematical-mysteries/