Bulletin of Symbolic Logic

A universal approach to self-referential paradoxes, incompleteness and fixed points

Noson S. Yanofsky

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Abstract

Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems and fixed point theorems fall out of the same simple scheme. We demonstrate these similarities by showing how this simple scheme encompasses the semantic paradoxes, and how they arise as diagonal arguments and fixed point theorems in logic, computability theory, complexity theory and formal language theory.

Article information

Source
Bull. Symbolic Logic, Volume 09, Issue 3 (2003), 362- 386.

Dates
First available in Project Euclid: 17 July 2003

Permanent link to this document
https://projecteuclid.org/euclid.bsl/1058448677

Digital Object Identifier
doi:10.2178/bsl/1058448677

Mathematical Reviews number (MathSciNet)
MR2005954

Zentralblatt MATH identifier
1067.03012

Citation

Yanofsky, Noson S. A universal approach to self-referential paradoxes, incompleteness and fixed points. Bull. Symbolic Logic 09 (2003), no. 3, 362-- 386. doi:10.2178/bsl/1058448677. https://projecteuclid.org/euclid.bsl/1058448677


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