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 | ||||||
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| 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 |
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| 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: | 10.3998/ergo.12405314.0002.022 | ||||||
| Subjects: | General Issues > Logical Positivism/Logical Empiricism General Issues > Structure of Theories |
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| Date: | 6 October 2015 | ||||||
| Page Range: | pp. 563-580 | ||||||
| Volume: | 2 | ||||||
| Number: | 22 | ||||||
| ISSN: | 2330-4014 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/11710 |
Available Versions of this Item
-
Quasi-Truth as Truth of a Ramsey Sentence. (deposited 15 Aug 2011 11:25)
- Partial Model Theory as Model Theory. (deposited 09 Oct 2015 13:36) [Currently Displayed]
- Quasi-Truth as Truth of a Ramsey Sentence. (deposited 22 Aug 2011 11:02)
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