Designing Paradoxes: A Revision-theoretic Approach.

According to the revision theory of truth, the binary sequences generated by the paradoxical sentences in revision sequence are always unstable. In this paper, we work backwards, trying to reconstruct the paradoxical sentences from some of their binary sequences. We give a general procedure of const...

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Publicado en:Journal of Philosophical Logic Vol. 51; no. 4; pp. 739 - 790
Autor principal: Hsiung, Ming
Formato: Artículo
Publicado: Springer Nature Aug2022
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        au: Hsiung, Ming
        affil: School of Philosophy and Social Development, South China Normal University, 510631, Guangzhou, People's Republic of China
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        Binary sequences
        Paradox
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          Binary sequences
          Paradox
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        Binary matrix
        Binary sequence
        Period
        Revision sequence
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      ab: According to the revision theory of truth, the binary sequences generated by the paradoxical sentences in revision sequence are always unstable. In this paper, we work backwards, trying to reconstruct the paradoxical sentences from some of their binary sequences. We give a general procedure of constructing paradoxes with specific binary sequences through some typical examples. Particularly, we construct what Herzberger called "unstable statements with unpredictably complicated variations in truth value." Besides, we also construct those paradoxes with infinitely many finite primary periods but without any infinite primary period, those with an infinite critical point but without any finite primary period, and so on. This is the first formal appearance of these paradoxes. Our construction demonstrates that the binary sequences generated by a paradoxical sentence are something like genes from which we can even rebuild the original sentence itself.
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