Raymond Smullyan

American mathematician (1919–2017)

Raymond Smullyan demonstrated that Gödelian incompleteness applied to elementary formal systems, shifting the contemporary understanding of mathematical logic in 1957. Beyond his academic research, he engaged in a lifelong pursuit of stage magic, music, and recreational puzzles. Over nearly a century, he served as a mathematician, philosopher, and teacher across multiple American institutions.

Early Education and Musical Pursuit

Born in 1919 in Far Rockaway, Smullyan displayed early proficiency in violin and piano, winning a New York Music Week Association gold medal at twelve. Despite attending Theodore Roosevelt High School, he left before graduation to pursue independent study in modern abstract algebra and geometry. His early adulthood involved brief periods at Pacific University and Reed College, followed by a focus on performance, magic, and self-directed study in San Francisco and New York.

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Academic Trajectory and Logic

Smullyan eventually enrolled at the University of Wisconsin-Madison and later the University of Chicago, where he majored in mathematics. His academic career flourished after he composed papers for Rudolf Carnap, which brought his work to the attention of Willard Van Orman Quine and Kurt Gödel. He earned a bachelor’s degree in 1955 and completed a PhD at Princeton University in 1959 under the supervision of Alonzo Church. His dissertation, Theory of Formal Systems, was published in 1961.

Teaching and Writing

His professional career included teaching positions at Dartmouth College, Princeton University, New York University, Yeshiva University, and the City University of New York, where he served from 1968 to 1982. He also taught philosophy at Indiana University. Smullyan authored numerous works on recreational logic, including What Is the Name of This Book?, To Mock a Mockingbird, and The Chess Mysteries of Sherlock Holmes. He continued writing until his death in 2017.

Fast facts

Questions readers ask

What subjects did Raymond Smullyan teach?

He taught mathematics, computer science, and philosophy at various institutions, including Yeshiva University, CUNY, and Indiana University.

How did he contribute to logic?

He expanded the scope of Gödelian incompleteness to apply to simpler formal systems and authored many influential books on recreational logic.

Achievements

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