da Costa, Newton C. A. and Krause, Décio and Bueno, Otávio (2010) ISSUES IN THE FOUNDATIONS OF SCIENCE, I: LANGUAGES, STRUCTURES, AND MODELS. [Preprint]

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Abstract

In this first paper of a series of works on the foundations of science, we examine the significance of logical and mathematical frameworks used in foundational studies. In particular, we emphasize the distinction between the order of a language and the order of a structure to prevent confusing models of scientific theories (as set-theoretical structures) with first-order structures (called here order-1 structures), and which are studied in standard (first-order) model theory. All of us are, of course, bound to make abuses of language even in putatively precise contexts. This is not a problem—in fact, it is part of scientific and philosophical practice. But it is important to be sensitive to the dierent uses that structure, model, and language have. In this paper, we examine these topics in the context of classical logic; only in the last section we touch upon briefly on non-classical ones.

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Item Type:	Preprint
Creators:	Creators Email ORCID da Costa, Newton C. A. Krause, Décio Bueno, Otávio
Keywords:	Languages. Structures. Models of scientific theories.
Subjects:	General Issues > Models and Idealization
Depositing User:	Prof. Décio Krause
Date Deposited:	11 Sep 2010
Last Modified:	07 Oct 2010 15:20
Item ID:	5541
Subjects:	General Issues > Models and Idealization
Date:	September 2010
URI:	https://philsci-archive.pitt.edu/id/eprint/5541

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