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CONTENT IMPLICATION AND YABLO'S SEQUENCE OF SENTENCES.

Authors :
Łukowski, Piotr
Source :
Logic & Logical Philosophy; Jan2020, Vol. 29 Issue 1, p57-69, 13p
Publication Year :
2020

Abstract

This paper is a continuation of [Łukowski, 2019], where it is shown that just like sets, sentences can also be understood in two ways: distributively or collectively. A distributive understanding of sets leads to the Russell antinomy, and a distributive understanding of sentences to liar antinomy. A collective understanding of sets frees up the set theory from Russell's antinomy. Taking a similar approach to sentences no liar like paradoxes appear. The aim of the paper is to examine Yablo's problem from this collective perspective. Given its nature, by using the content implication connective it becomes possible to assign logical values to all Yablo's sentences. Moreover, it seems that Yablo's problem is not a case of circularity. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
SET theory
PARADOX

Details

Language :
English
ISSN :
14253305
Volume :
29
Issue :
1
Database :
Supplemental Index
Journal :
Logic & Logical Philosophy
Publication Type :
Academic Journal
Accession number :
142292182
Full Text :
https://doi.org/10.12775/LLP.2019.012