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Inferentialism and Structuralism: A Tale of Two Theories

Nefdt, Ryan M. (2018) Inferentialism and Structuralism: A Tale of Two Theories. [Preprint]

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Abstract

This paper aims to unite two seemingly disparate themes in the philosophy of mathematics and language (and logic) respectively, namely ante rem structuralism and inferentialism. My analysis begins with describing both frameworks in accordance with their genesis in the work of Hilbert. I then draw comparisons between these philosophical views in terms of their similar motivations and similar objections to the referential orthodoxy. I specifically home in on two points of comparison, namely the role of norms and the relation of ontological dependence in both accounts. Lastly, I show that insights from this purported connection can address certain objections to both theories respectively.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Nefdt, Ryan M.rnefdt@uwc.ac.za0000-0002-2118-9960
Additional Information: Accepted for publication in Logique et Analyse
Keywords: Philosophy of language; Philosophy of mathematics; Structuralism; Inferentialism; Proof theory
Subjects: Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics > Methodology
General Issues > History of Philosophy of Science
General Issues > Structure of Theories
Depositing User: Dr Ryan M. Nefdt
Date Deposited: 08 Jul 2018 15:16
Last Modified: 08 Jul 2018 15:16
Item ID: 14856
Subjects: Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics > Methodology
General Issues > History of Philosophy of Science
General Issues > Structure of Theories
Date: 2018
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14856

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