There are, roughly speaking, two kinds of mathematical creativity. One, akin to conquering a mountain peak, consists of solving a problem which has remained unsolved for a long time and has commanded the attention of many mathematicians. The other is exploring new territory.

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Quote text and notes from Wikiquote: Mark Kac (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.