FROM "ELOGE DE M. EULER PAR LE MARQUIS DE CONDORCET"
Mathematics is the science that yields the best opportunity to observe
the working of the mind. Its study is the best training of our abilities
as it develops both the power and the precision of our thinking. Mathematics
is valuable on account of the number and variety of its applications. And it
is equally valuable in another respect: By cultivating it, we acquire the
habit of a method of reasoning which can be applied afterwards to the study of
any subject and can guide us in life's great and little problems.
CHANCE FAVORS THE PREPARED MIND,
A Quote from David Hilbert's 1900 ICM Address: He who seeks for methods without having a concrete problem in
mind seeks for the most part in vain.
Extract from David Hilbert's 1900 address to the Second International Mathematical Congress, Paris
Address by David Hilbert, 1930
A. N. WHITEHEAD
By relieving the brain of all unnecessary work,
a good notation sets it free to concentrate on more advanced problems,
and, in effect, increases the mental power of the race.
Quoted in P Davis and R Hersh, The Mathematical Experience (Boston 1981).