A style guide for the structuralist

Bibliographic Data

ID21364073
AuthorsLucy Carr (New York University, corresponding author)
Year2024
Volume59
Issue4
Pages873-901
Publication date2024-11-17
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueNoûs (JOURNAL)
Journal identifiersISSN: 0029-4624 • E-ISSN: 1468-0068
PublisherWiley (PUBLISHER • GB)
DOI10.1111/nous.12537
OpenAlexW4404491736
LanguageEN
Citations received1
References cited46

Ontic structuralists claim that there are no individual objects, and that reality should instead be thought of as a “web of relations”. It is difficult to make this metaphysical picture precise, however, since languages usually characterize the world by describing the objects that exist in it. This paper proposes a solution to the problem; I argue that when discourse is reformulated in the language of the calculus of relations ‐ an algebraic logic developed by Alfred Tarski ‐ it can be interpreted without presupposing the existence of objects. What is distinctive about the language of the calculus is that it contains no operator that resembles a quantifier, and yet it can be used to paraphrase any sentence expressible in first‐order logic. Since the use of a first‐order quantifier (or some similar operator) is usually what establishes commitment to an ontology of objects, and since the calculus of relations eschews the quantifier in favor of a composition operator that can be given a natural interpretation consistent with structuralist metaphysics, the calculus is an ideal language for the structuralist to use to describe the world

Aesthetics · Art · Sociology · Style (visual arts) · Visual arts · History and Theory of Mathematics · Philosophy and History of Science

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