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ISSUES IN THE FOUNDATIONS OF SCIENCE, I: LANGUAGES, STRUCTURES, AND MODELS

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
    Keywords: Languages. Structures. Models of scientific theories.
    Subjects: General Issues > Models and Idealization
    Depositing User: Décio Krause
    Date Deposited: 11 Sep 2010
    Last Modified: 07 Oct 2010 11:20
    Item ID: 5541
    URI: http://philsci-archive.pitt.edu/id/eprint/5541

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