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arXiv · 2608.10221

Predicate and Set Bundles in Multi-valued Logic

Eugene Zhang
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Abstract

In this paper, a new model for multi-valued logic is presented based on the notion of a bundle of predicates. The degree of truth and various logical operations for predicates in our model of multi-valued logic are rigorously defined and investigated. Furthermore, the bundle of sets as a special type of predicate bundles is thoroughly investigated to provide a rigorous model for fuzzy sets and certain adjectives/adverbs in linguistics. In addition, solutions to necessity/possibility and the sorites paradox in modal logic are given.

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Eugene Zhang. 2026-08-10. Predicate and Set Bundles in Multi-valued Logic. https://arxiv.org/abs/2608.10221

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