External Curries

Verfasser / Beitragende:
[Heinrich Wansing, Graham Priest]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Philosophical Logic, 44/4(2015-08-01), 453-471
Format:
Artikel (online)
ID: 605539138
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024 7 0 |a 10.1007/s10992-014-9336-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10992-014-9336-4 
245 0 0 |a External Curries  |h [Elektronische Daten]  |c [Heinrich Wansing, Graham Priest] 
520 3 |a Curry's paradox is well known. The original version employed a conditional connective, and is not forthcoming if the conditional does not satisfy contraction. A newer version uses a validity predicate, instead of a conditional, and is not forthcoming if validity does not satisfy structural contraction. But there is a variation of the paradox which uses "external validity” (that is, essentially, preservation of theoremhood). And since external validity contracts, one might expect the appropriate version of the Curry paradox to be inescapable. In this paper we show that this is not the case. We consider two ways of formalising the notion of external validity, and show that in both of these the paradox is not forthcoming without the appropriate forms of contraction. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Curry paradox  |2 nationallicence 
690 7 |a Internal validity  |2 nationallicence 
690 7 |a External validity  |2 nationallicence 
690 7 |a Internal consequence relations  |2 nationallicence 
690 7 |a External consequence relations  |2 nationallicence 
690 7 |a Contraction  |2 nationallicence 
690 7 |a Higher-level sequent calculi  |2 nationallicence 
700 1 |a Wansing  |D Heinrich  |u Department of Philosophy II, Ruhr-University Bochum, Bochum, Germany  |4 aut 
700 1 |a Priest  |D Graham  |u The Graduate Center, City University of New York, New York, NY, USA  |4 aut 
773 0 |t Journal of Philosophical Logic  |d Springer Netherlands  |g 44/4(2015-08-01), 453-471  |x 0022-3611  |q 44:4<453  |1 2015  |2 44  |o 10992 
856 4 0 |u https://doi.org/10.1007/s10992-014-9336-4  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10992-014-9336-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Wansing  |D Heinrich  |u Department of Philosophy II, Ruhr-University Bochum, Bochum, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Priest  |D Graham  |u The Graduate Center, City University of New York, New York, NY, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Philosophical Logic  |d Springer Netherlands  |g 44/4(2015-08-01), 453-471  |x 0022-3611  |q 44:4<453  |1 2015  |2 44  |o 10992