A universal approach to self-referential paradoxes, incompleteness and fixed points
Yanofsky, Noson S.
Bull. Symbolic Logic, Tome 09 (2003) no. 1, p. 362- 386 / Harvested from Project Euclid
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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.
Publié le : 2003-09-14
Classification:  
@article{1058448677,
     author = {Yanofsky, Noson S.},
     title = {A universal approach to self-referential paradoxes, incompleteness and fixed points},
     journal = {Bull. Symbolic Logic},
     volume = {09},
     number = {1},
     year = {2003},
     pages = { 362- 386},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1058448677}
}

Yanofsky, Noson S. A universal approach to self-referential paradoxes, incompleteness and fixed points. Bull. Symbolic Logic, Tome 09 (2003) no. 1, pp.  362- 386. http://gdmltest.u-ga.fr/item/1058448677/