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The general and mathematical publics know Alan Turing as the pioneer computer scientist who conceived of the Turing machine, and as the brilliant cryptographer who broke the Enigma code. The tragic events at the end of his life are also widely known. In this special section, Notices authors consider Turing's mathematical accomplishments and legacy as well.

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### Bill Casselman

(pp. 1188)
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### Reviewed by Andrew Hodges

(pp. 1190)
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### Solomon Feferman

(pp. 1200)
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### Andrew R. Booker

(pp. 1208)
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### Reviewed by S. Barry Cooper

(pp. 1213)
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### Martin Davis

(pp. 1218)
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