The Interdependence of Logical Connectives and Set-Theoretic Operations: A Theoretical Perspective
- Author Salvador A. Loria Jr.
- Co-Author Joycelin N. Caralde, Ilene DS. Bunag
- DOI https://ww
- Country : Philippines
- Subject : Science and Technology
Keywords : Set-theoretic Operations, Logical Connectives, Boolean Algebra.
Abstract
This paper investigates the deep structural relationship between logical connectives and set-theoretic operations. Through conceptual and theoretical analysis, it shows that logical operations—such as conjunction, disjunction, and negation—parallel fundamental set operations like intersection, union, and complement. This correspondence illustrates how set theory provides a semantic foundation for logical systems, while logic offers a symbolic framework for expressing and analyzing set relations. Drawing on literature from Boolean algebra, propositional logic, and classical set theory, the study demonstrates that many mathematical reasoning processes can be interpreted through set-theoretic representations. The findings underscore that logic and set theory are not isolated disciplines but mutually reinforcing frameworks that together support the development of formal reasoning and mathematical thought.
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