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NON-CLASSICAL FOUNDATIONS OF SET THEORY

Journal of Symbolic Logic (JSL), 2021
In this paper, we use algebra-valued models to study cardinal numbers in a class of non-classical set theories. The algebra-valued models of these non-classical set theories validate the Axiom of Choice, if the ground model validates it.
Sourav Tarafder
semanticscholar   +1 more source

Inter-universal Teichmüller Theory IV: Log-Volume Computations and Set-Theoretic Foundations

, 2021
The present paper forms the fourth and final paper in a series of papers concerning “inter-universal Teichmüller theory”. In the first three papers of the series, we introduced and studied the theory surrounding the logtheta-lattice, a highly non ...
S. Mochizuki
semanticscholar   +1 more source

MARSHAL: Multiple-Attribute Regret Theory and Semantically Aware Probabilistic Weights Based Hesitant Linguistic Decision-Making

IEEE transactions on fuzzy systems
With ever-increasing abundance of text data, decision-making problems are becoming more complex. Such complexity is often a consequence of nuanced input linguistic information, which is already highly uncertain and subjective.
Taniya Seth, Pranab K. Muhuri
semanticscholar   +1 more source

Models of Set Theory

Set Theory and Foundations of Mathematics: An Introduction to Mathematical Logic, 2020
Stefan Geschke
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The Arithmetic Optimization Algorithm

Computer Methods in Applied Mechanics and Engineering, 2021
Laith Mohammad Abualigah   +2 more
exaly  

Models of arithmetic and closed ideals

Journal of Symbolic Logic (JSL), 1982
J. Knight, M. Nadel
semanticscholar   +1 more source

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