Erkenntnis 81 (2):407-432 (2016)

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Abstract
Rudolf Carnap’s mature work on the logical reconstruction of scientific theories consists of two components. The first is the elimination of the theoretical vocabulary of a theory in terms of its Ramsification. The second is the reintroduction of the theoretical terms through explicit definitions in a language containing an epsilon operator. This paper investigates Carnap’s epsilon-reconstruction of theories in the context of pure mathematics. The main objective here is twofold: first, to specify the epsilon logic underlying his suggested definition of theoretical terms and a suitable choice semantics for it. Second, to analyze whether Carnap’s approach is compatible with a structuralist conception of mathematics.
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DOI 10.1007/s10670-015-9747-9
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References found in this work BETA

What Numbers Could Not Be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
What is Structural Realism?James Ladyman - 1998 - Studies in History and Philosophy of Science Part A 29 (3):409-424.
How to Define Theoretical Terms.David Lewis - 1970 - Journal of Philosophy 67 (13):427-446.

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Citations of this work BETA

Ramsification and Semantic Indeterminacy.Hannes Leitgeb - forthcoming - Review of Symbolic Logic:1-51.
The Semantic Plights of the Ante-Rem Structuralist.Bahram Assadian - 2018 - Philosophical Studies 175 (12):1-20.
Theories: Reconsidering Ramsey in the Philosophy of Science.John D. Lehmann - 2021 - Dissertation, University of Western Ontario

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