##
**Descending chains and the contextualist approach to semantic paradoxes.**
*(English)*
Zbl 0989.03012

Summary: Plausible principles on truth seem to yield contradictory conclusions about paradoxial sentences such as the Strengthened Liar. Those who take the contextualist approach, such as Parsons and Burge, attempt to justify the seemingly contradictory conclusions by arguing that the natural reasoning that leads to them involves some kind of contextual shift that makes them compatible. This paper argues that one cannot take this approach to give a proper treatment of infinite descending chains of semantic attributions. It also examines a related approach taken by Gaifman and argues that it has the same problem.

### MSC:

03A05 | Philosophical and critical aspects of logic and foundations |

### Keywords:

paradoxial sentences; contextualist approach; infinite descending chains of semantic attributions
PDF
BibTeX
XML
Cite

\textit{B.-u. Yi}, Notre Dame J. Formal Logic 40, No. 4, 554--567 (1999; Zbl 0989.03012)

Full Text:
DOI

### References:

[1] | Burge, T., “Semantical paradox,” The Journal of Philosophy , vol. 76 (1979), pp. 169–98; reprinted in Martin [?], pp. 83–114. |

[2] | Burge, T., “The Liar Paradox: Tangles and chains,” Philosophical Studies , vol. 41 (1982), pp. 367–81. |

[3] | Burge, T., “Postscript to ‘Semantical Paradox’,” pp. 114–17 in Recent Essays on Truth and the Liar Paradox , edited by R. L. Martin, Oxford University Press, Oxford, 1984. · Zbl 0623.03001 |

[4] | Gaifman, H., “Pointers to truth,” The Journal of Philosophy , vol. 89 (1992), pp. 223–61. JSTOR: |

[5] | Kripke, S., “Outline of a theory of truth,” The Journal of Philosophy , vol. 72 (1975), pp. 690–716; reprinted in Martin [?], pp. 53–81. · Zbl 0952.03513 |

[6] | Martin, R. L., Recent Essays on Truth and the Liar Paradox , Oxford University Press, Oxford, 1984. · Zbl 0623.03001 |

[7] | Parsons, C., “The Liar Paradox,” The Journal of Philosophical Logic , vol. 3 (1974), pp. 381–412; reprinted in Martin [?], pp. 9–47. · Zbl 0296.02001 |

[8] | Parsons, C., “Postscript to ‘the Liar Paradox’,” pp. 251–67 in Mathematics in Philosophy by C. Parsons, Cornell University Press, Ithaca, 1983. · Zbl 1137.00012 |

[9] | Skyrms, B., “Intensional aspects of semantical self-reference,” pp. 119–31 in Recent Essays on Truth and the Liar Paradox , edited by R. L. Martin, Oxford University Press, Oxford, 1984. · Zbl 0623.03001 |

[10] | Yablo, S., “Paradox without self-reference,” Analysis , vol. 53 (1993), pp. 251–2. JSTOR: · Zbl 0943.03565 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.