“The basis for comprehension is theory, and the language of theoretical science is mathematics.”

“Science requires both observation and comprehension. Without observation there are no facts to be comprehended; without comprehension science is mere documentation. The basis for comprehension is theory, and the language of theoretical science is mathematics. Theory is constructed on a foundation of hypothesis; the fewer the hypotheses needed to explain existing observations and predict new phenomena, the more ‘elegant’ the theory”

“Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning.”

“Mathematics is the queen of the sciences”

“This is not mathematics, it is theology.(On being exposed to Hilbert's work in invariant theory.)”

“A new field of science was emerging: mathematical cognition, or the scientific inquiry into how the human brain gives rise to mathematics... the transition from mathematics to neuropsychology.”