Paradox of Causality and Paradoxes of Set Theory

Authors

Alondra Baquier, The University of Texas at El PasoFollow
Bradley Beltran, The University of Texas at El PasoFollow
Gabriel Miki-Silva, The University of Texas at El PasoFollow
Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

4-1-2024

Comments

Technical Report: UTEP-CS-24-16

Abstract

Logical paradoxes show that human reasoning is not always fully captured by the traditional 2-valued logic, that this logic's extensions -- such as multi-valued logics -- are needed. Because of this, the study of paradoxes is important for research on multi-valued logics. In this paper, we focus on paradoxes of set theory. Specifically, we show their analogy with the known paradox of causality, and we use this analogy to come up with similar set-theoretic paradoxes.