- I am proud to be a teacher. Teaching is an ephemeral subject.
It is like playing the violin. The piece is over, and it's gone.
The student is taught, and the teaching is gone. [Paul Halmos]
- I found that one of the most striking things distinguishing
mathematicians from computer scientists was their strong
geometric reasoning and reasoning about infinity. The things
that were common to both computer science and mathematics were primarily
things like the use of abstractions and the manipulation of formulas.
The main thing that was prominent in computer science that wasn't
in mathematics was an emphasis on the state of a process as it changes,
where it changes in time in a discrete way. In computer science when you
say n is replaced by n+1, the old value disappears and the new value takes
over. We know how to think about an algorithm that is half-way
executed; it has a state consisting of the current values of all
the variables, and the state also specifies what rule to
apply next. In order to formulate this for most mathematicians,it
requires putting subscripts on everything. [Donald Knuth]