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Gödel's Theorem and Postmodern Theory

Published online by Cambridge University Press:  23 October 2020

David Wayne Thomas
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Abstract

In 1931 the mathematician Kurt Gödel published a treatise establishing the inherent incompleteness and inconsistency of that order of logical system used in Alfred North Whitehead and Bertrand Russell's Principia Mathematica. Gödel's work has proved an attractive reference in diverse fields, particularly in postmodern literary-critical theory, which often seems intent on logical impasse and which sees a protodeconstructive corroboration in Gödel's theorem. Such analogizing is not without informative substance, but a closer look at the philosophical and mathematical theory surrounding Gödel's practice reveals that Gödelian undecidability emerges from a theoretical framework—a mathematical Platonism—with extensive metaphysical commitments regarding subject position and the objects of thought. Gödel's explorations of logical undecidability do not so much undermine logocentric suppositions as exploit them all the more consequentially. The analogy between Gödel's theorem and postmodern theory underscores the metaphysical operations of any criticism that finds in Gödel a “postmetaphysical” ally. (DWT)

Information

Type
Research Article
Information
PMLA , Volume 110 , Issue 2: Special Millennium issue , March 1995 , pp. 248 - 261
Copyright
Copyright © Modern Language Association of America, 1995

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