Contraction, Infinitary Quantifiers, and Omega Paradoxes

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Abstract

Our main goal is to investigate whether the infinitary rules for the quantifiers endorsed by Elia Zardini in a recent paper are plausible. First, we will argue that they are problematic in several ways, especially due to their infinitary features. Secondly, we will show that even if these worries are somehow dealt with, there is another serious issue with them. They produce a truth-theoretic paradox that does not involve the structural rules of contraction.

Keywords

Substructural logic Infinitary quantifiers Paradoxes Truth 

Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.IIF-Sadaf (Conicet)Buenos AiresArgentina

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