A style guide for the structuralist.

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...

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Publicado en:Nous (0029-4624) Vol. 59; no. 4; pp. 873 - 902
Autor principal: Carr, Lucy
Formato: Artículo
Publicado: Wiley-Blackwell Dec2025
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: A style guide for the structuralist.
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        au: Carr, Lucy
        affil: New York University
      su:
        Structuralism
        Ontology
        Relation algebras
        Metaphysics
        Algebraic logic
        First-order logic
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          Structuralism
          Ontology
          Relation algebras
          Metaphysics
          Algebraic logic
          First-order logic
      ab: 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.
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    language: English
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