Joseph Fourier: "Mathematical analysis is as extensive as nature itself; it defines all perceptible relations, measures times, spaces, forces, temperatures; this difficult science is formed slowly, but it preserves every principle which it has once acquired; it grows and strengthens itself incessantly in the midst of the many variations and errors of the human mind. It's chief attribute is clearness; it has no marks to express confused notations. It brings together phenomena the most diverse, and discovers the hidden analogies which unite them."
Georg Cantor: The art of asking the right questions in mathematics is more important than the art of solving them.
remark on Cantor's observation: Asking key questions focusses ones attention, but to ask the right questions, you need to know quite a bit about how existing problems
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