Logics of Nonsense and Parry Systems

Verfasser / Beitragende:
[Thomas Ferguson]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Philosophical Logic, 44/1(2015-02-01), 65-80
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10992-014-9321-y  |2 doi 
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100 1 |a Ferguson  |D Thomas  |u CUNY Graduate Center, 365 Fifth Avenue, 10016, New York, NY, USA  |4 aut 
245 1 0 |a Logics of Nonsense and Parry Systems  |h [Elektronische Daten]  |c [Thomas Ferguson] 
520 3 |a We examine the relationship between the logics of nonsense of Bochvar and Halldén and the containment logics in the neighborhood of William Parry's A I. We detail two strategies for manufacturing containment logics from nonsense logics—taking either connexive and paraconsistent fragments of such systems—and show how systems determined by these techniques have appeared as Frederick Johnson's R C and Carlos Oller's A L. In particular, we prove that Johnson's system is precisely the intersection of Bochvar's B 3 and Graham Priest's non-symmetrized connexive logic and that Oller's system lies just beneath the intersection of B 3 and Priest's paraconsistent L P. We conclude by examining Oller's system in more depth, giving it a characterization in terms of L P and showing that it plays the same role to Harry Deutsch's paraconsistent containment logic S that Aleksandr Zinov'ev's S 1 plays with respect to A I. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Containment logics  |2 nationallicence 
690 7 |a Logics of nonsense  |2 nationallicence 
690 7 |a Connexive logics  |2 nationallicence 
690 7 |a Parry systems  |2 nationallicence 
690 7 |a Analytic implication  |2 nationallicence 
690 7 |a Paraconsistent logics  |2 nationallicence 
773 0 |t Journal of Philosophical Logic  |d Springer Netherlands  |g 44/1(2015-02-01), 65-80  |x 0022-3611  |q 44:1<65  |1 2015  |2 44  |o 10992 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Ferguson  |D Thomas  |u CUNY Graduate Center, 365 Fifth Avenue, 10016, New York, NY, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Philosophical Logic  |d Springer Netherlands  |g 44/1(2015-02-01), 65-80  |x 0022-3611  |q 44:1<65  |1 2015  |2 44  |o 10992