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RESTRICTIVENESS RELATIVE TO NOTIONS OF INTERPRETATION

Published online by Cambridge University Press:  12 April 2016

LUCA INCURVATI  and
BENEDIKT LÖWE
LUCA INCURVATI*
Affiliation:
Universiteit van Amsterdam
BENEDIKT LÖWE*
Affiliation:
Universiteit van Amsterdam & Universität Hamburg
*
*INSTITUTE FOR LOGIC, LANGUAGE AND COMPUTATION UNIVERSITEIT VAN AMSTERDAM POSTBUS 94242, 1090 GE AMSTERDAM, THE NETHERLANDS E-mail: l.incurvati@uva.nl
†INSTITUTE FOR LOGIC, LANGUAGE AND COMPUTATION UNIVERSITEIT VAN AMSTERDAM POSTBUS 94242, 1090 GE AMSTERDAM, THE NETHERLANDS E-mail: b.loewe@uva.nl
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Abstract

Maddy gave a semi-formal account of restrictiveness by defining a formal notion based on a class of interpretations and explaining how to handle false positives and false negatives. Recently, Hamkins pointed out some structural issues with Maddy’s definition. We look at Maddy’s formal definitions from the point of view of an abstract interpretation relation. We consider various candidates for this interpretation relation, including one that is close to Maddy’s original notion, but fixes the issues raised by Hamkins. Our work brings to light additional structural issues that we also discuss.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 9 , Issue 2 , June 2016 , pp. 238 - 250
Copyright
Copyright © Association for Symbolic Logic 2016 

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