"In order to be successful as a mathematician, you must commit to memory all definitions and statements of theorems, for these are the tools by which you can construct valid mathematical arguments. Of course, memorization is not always fun, but sometimes it is just simply required." -Steven Roman, Abstract Algebra: A Comprehensive Introduction, Volume 1: Linear Algebra
“It is a profoundly erroneous truism, repeated by all copy-books and by eminent people when they are making speeches, that we should cultivate the habit of thinking of what we are doing. The precise opposite is the case. Civilization advances by extending the number of important operations which we can perform without thinking about them. Operations of thought are like cavalry charges in a battle — they are strictly limited in number, they require fresh horses, and must only be made at decisive moments.”
