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FLAP 2023

On Yablo's Construction.

Journal Article Number 5 Logic in Computer Science

Abstract

We analyse Yablo’s coding of the liar paradox by infinite acyclic graphs, [6], and show that his construction is in a certain way minimal. This leads to a very limited representation result. We then argue that the “right” level of description of more complicated constructions is probably the level of paths, and not of single arrows. We also look at more complicated cells of basic contradiction ("diamonds"), and show that, at least under certain conditions, they fail to achieve Yablo’s result.

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Context

Venue
IfCoLog Journal of Logics and their Applications
Archive span
2014-2026
Indexed papers
633
Paper id
332007834759305179
v2026.09.13