"Greek thought was essentially non-algebraic, because it was so concrete. The abstract operations of algebra, which de…"

"The great Cartesian invention had its roots in those famous problems of antiquity which originated in the days of Pla…"

"The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garme…"

"The arithmetization of mathematics... which began with Weierstrass... had for its object the separation of purely mat…"

"But how can we avoid the use of human language? The... symbol. Only by using a symbolic language not yet usurped by t…"

"The progress of mathematics has been most erratic, and... intuition has played a predominant rôle in it. ...It was th…"

"Between the philosopher's attitude towards the issue of reality and that of the mathematician there is this essential…"

"There exists among the most primitive tribes of Australia and Africa a system of numeration which has neither 5, 10, …"

"‘…the transition [to the Hindu number system], far from being immediate, extended over long centuries. The struggle b…"

"In the history of mathematics, the "how" always preceded the "why," the technique of the subject preceded its philoso…"