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In the world of Gossamyr, power is as simple as comprehension. A spell is a theorem and the theorem must be written in the air and proven for it to take hold. Denny's unique gift allows him to solve theorems that would drive others insane, but he doesn't think of the world in those terms. He can only solve problems, not consider the appropriate answer for the situation. Fortunately, the children are befriended by allies who strive to send the stranded siblings home before dark forces can use the boy's power for evil.