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  1. Ultra-Thin Objects across Domains: A Generalized Approach to Reference and Existence.Tolgahan Toy - 2024 - Philosophia 52 (3):739-755.
    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 (...)
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  • Thin objects: An overview.Massimiliano Carrara & Luca Zanetti - 2023 - Theoria 89 (3):239-246.
    In Thin objects: an abstractionist account (Oxford University Press, 2018), Øystein Linnebo claims that ‘mathematical objects are thin in the sense that very little is required for their existence’. Linnebo articulates his view in an abstractionist manner: according to Linnebo, the truth of the right‐hand side of a Fregean abstraction principle, which states that two items stand in a given equivalence relation, is sufficient for the truth of its left‐hand side, which states that the same abstract object is associated to (...)
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