“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.”
“The notion that the world is mostly made up of small sets is an illusion imposed on us by our perceptual and cognitive systems.”
“In the field of Egyptian mathematics Professor Karpinski of the University of Michigan has long insisted that surviving mathematical papyri clearly demonstrate the Egyptians' scientific interest in pure mathematics for its own sake. I have now no doubt that Professor Karpinski is right, for the evidence of interest in pure science, as such, is perfectly conclusive in the Edwin Smith Surgical Papyrus.”
“Mathematics is the queen of the sciences”
“Formal mathematics is nature's way of letting you know how sloppyyour mathematics is.”
“The basis for comprehension is theory, and the language of theoretical science is mathematics.”
“The object of mathematics is the honor of the human spirit.”