Ultra-Thin Objects across Domains: A Generalized Approach to Reference and Existence

Abstract

This paper explores a unified approach to linguistic reference and the nature of objects, addressing both abstract and concrete entities. We propose a method of redefining ultra-thin objects through a modified abstraction principle, which involves two distinct computations: subsemantic computation processes direct physical input, while semantic computation derives the semantic values of a sentence from the meanings of its constituents. These computations take different inputs—one physical and one semantic—but yield identical outputs. Among these, the subsemantic computation is more accessible. This approach facilitates a consistent treatment across various types of objects, including mathematical, concrete, social, and mental entities, thereby eliminating the need for domain-specific justifications. We advocate for this innovative perspective and address potential objections related to idealism and the utility of introducing objects. Our proposal advances the discourse of the nature of objects and linguistic reference, providing a comprehensive framework for understanding the existence and reference of objects across diverse discourse domains.