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Partial Model Theory as Model Theory

Lutz, Sebastian (2015) Partial Model Theory as Model Theory. Ergo, 2 (22). pp. 563-580. ISSN 2330-4014

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Abstract

I show that the partial truth of a sentence in a partial structure is equivalent to the truth of that sentence in an expansion of a structure that corresponds naturally to the partial structure. Further, a mapping is a partial homomorphism/partial isomorphism between two partial structures if and only if it is a homomorphism/isomorphism between their corresponding structures. It is a corollary that the partial truth of a sentence in a partial structure is equivalent to the truth of a specific Ramsey sentence in a corresponding structure. Hence the partial structures approach can be expressed in standard first or second-order model theory, and it can be captured in the received view on scientific theories as developed by Carnap and Hempel.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Lutz, Sebastiansebastian.lutz@gmx.net
Keywords: partial structure; quasi-truth; pragmatic truth; partial truth; subtruth; partial homomorphism; partial isomorphism; model theory; expansion; Ramsey sentence; received view; logical empiricism
Subjects: General Issues > Logical Positivism/Logical Empiricism
General Issues > Structure of Theories
Depositing User: Sebastian Lutz
Date Deposited: 09 Oct 2015 13:36
Last Modified: 09 Oct 2015 13:36
Item ID: 11710
Journal or Publication Title: Ergo
Publisher: Michigan Publishing
Official URL: http://dx.doi.org/10.3998/ergo.12405314.0002.022
DOI or Unique Handle: https://doi.org/10.3998/ergo.12405314.0002.022
Subjects: General Issues > Logical Positivism/Logical Empiricism
General Issues > Structure of Theories
Date: 6 October 2015
Page Range: pp. 563-580
Volume: 2
Number: 22
ISSN: 2330-4014
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/11710

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