Yablo’s Paradoxes in Non-arithmetical Setting
Yablo’s Paradoxes in Non-arithmetical Setting
Author(s): Ahmad KarimiSubject(s): History of Philosophy, Philosophical Traditions, Special Branches of Philosophy
Published by: Uniwersytet Warszawski - Wydział Filozofii i Socjologii, Instytut Filozofii
Keywords: non-self-referential paradox; Yablo’s paradox; weak systems
Summary/Abstract: Proving a paradox from very weak assumptions helps us to reveal what the source of the paradox is. We introduce a weak non-arithmetical theory in a language of predicate logic and give proofs for various versions of Yablo’s paradox in this weak system. We prove Always, Sometimes, Almost Always, and Infinitely Often versions of Yablo’s paradox in the presented weak axiom system, which is much weaker than the arithmetical setting.
Journal: Filozofia Nauki
- Issue Year: 27/2019
- Issue No: 2 (106)
- Page Range: 5-15
- Page Count: 11
- Language: English