There Are Non-circular Paradoxes (But Yablo’s Isn't One of Them!)

@article{Cook2006ThereAN,
  title={There Are Non-circular Paradoxes (But Yablo’s Isn't One of Them!)},
  author={Roy T. Cook},
  journal={The Monist},
  year={2006},
  volume={89},
  pages={118-149}
}
  • R. Cook
  • Published 2006
  • Philosophy
  • The Monist
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  • Computer Science, Philosophy
  • The Review of Symbolic Logic
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  • Lorenzo Rossi
  • Computer Science, Mathematics
  • The Review of Symbolic Logic
  • 2019
TLDR
A unified theory oftruth and paradox is developed, that is a theory of truth that also provides a unified account of paradoxical sentences, that yields a way of interpreting all three kinds of paradoxicals sentences, as well as unparadoxical sentences within a single model. Expand
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A GRAPH-THEORETIC ANALYSIS OF THE SEMANTIC PARADOXES
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A framework for a graph-theoretic analysis of the semantic paradoxes of the language of first-order arithmetic augmented with a primitive truth predicate and defines a notion of paradoxicality in terms of acceptable decorations of rfgs with truth values. Expand
THE PARADOXES OF SELF-NEGATION
In Beyond the Limits of Thought Graham Priest presents the Inclosure Schema as the underlying structure of the paradoxes of self-reference. I argue that while the paradoxes fit the Inclosure Schema,Expand
Minimalism, Reference, and Paradoxes
TLDR
This paper gives sound and arithmetically simple notions of reference, self-reference, and well-foundedness for the language of first-order arithmetic extended with a truth predicate, and uses the new notions to restrict the T-schema to sentences that exhibit "safe" reference patterns. Expand
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References

Diagonalization and Self-Reference
I Introduction to Self-Reference and Recursion 1. Introduction to self-reference 2. Some classical fixed point argument compared 3. How to silence a universale machine 4. Some general incompletenessExpand