Analyzes the logical structure of various types of mathematical proofs and jokes, showing how humor and mathematics are related by common creative processes and discussing Thom's "catastrophe theory" to describe how switches, reversals, and jumps in meaning are used in humor
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In the book I i} explore the operations and structures common to humor and the formal sciences (logic, mathematics, and linguistics), ii) show how various notions from these sciences provide formal analogues for different sorts of jokes and joke schema, and iii) develop a mathematical model of jokes (joke schema) using ideas from "catastrophe theory". In accomplishing this I discuss self- reference, recursivity, axioms, logical levels, non-standard models, transformational grammar, and several "mathematical" (in an extended sense) ideas. Relevant psychological and philosophical matters are discussed and provide a matrix for both the technical development and for the jokes.
John Allen Paulos cleverly scrutinizes the mathematical structures of jokes, puns, paradoxes, spoonerisms, riddles, and other forms of humor, drawing examples from such sources as Rabelais, Shakespeare, James Beattie, Rene Thom, Lewis Carroll, Arthur Koestler, W.C. Fields, and Woody Allen.
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