RESTRICTIVENESS RELATIVE TO NOTIONS OF INTERPRETATION

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 fr...

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Veröffentlicht in:The review of symbolic logic 2016-06, Vol.9 (2), p.238-250
Hauptverfasser: INCURVATI, LUCA, LÖWE, BENEDIKT
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1755-0203
1755-0211
DOI:10.1017/S1755020316000058