"The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events."

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Climbing is a heroic liberating act; and height spontaneously symbolizes things of high value, be it in the value of worldly power or of spirituality. To rise in an elevator, balloon, or airplane is to experience being liberated from weight, sublimated, invested with superhuman abilities. In addition, to rise from the earth is to approach the realm of light and overview. Therefore the negative overcoming of weight is at the same time the positive achievement of enlightenment and an unobstructed outlook.

— Rudolf Arnheim