Paradoxes of Interaction?

Verfasser / Beitragende:
[Johannes Stern, Martin Fischer]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Philosophical Logic, 44/3(2015-06-01), 287-308
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10992-014-9319-5  |2 doi 
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245 0 0 |a Paradoxes of Interaction?  |h [Elektronische Daten]  |c [Johannes Stern, Martin Fischer] 
520 3 |a Since Montague's work it is well known that treating a single modality as a predicate may lead to paradox. In their paper "No Future”, Horsten and Leitgeb (2001) show that if the two temporal modalities are treated as predicates paradox might arise as well. In our paper we investigate whether paradoxes of multiple modalities, such as the No Future paradox, are genuinely new paradoxes or whether they "reduce” to the paradoxes of single modalities. In order to address this question we develop a notion of reducibility based on a version of Smoryński Diagonalized Operator Logic. We show that there are reducible multimodal paradoxes as well as irreducible paradoxes of interaction. In particular, we show the No Future paradox to be an irreducible paradox according to our notion of reducibility. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Modal paradox  |2 nationallicence 
690 7 |a Multimodal paradoxes  |2 nationallicence 
690 7 |a Paradoxes of interaction  |2 nationallicence 
690 7 |a Syntactical treatments of modalities  |2 nationallicence 
690 7 |a Modal logic  |2 nationallicence 
690 7 |a Liar paradox  |2 nationallicence 
690 7 |a Theories of truth  |2 nationallicence 
690 7 |a Fixed-points  |2 nationallicence 
690 7 |a Fixed-point logic  |2 nationallicence 
700 1 |a Stern  |D Johannes  |u Munich Center for Mathematical Philosophy, LMU Munich, Fakultät für Philosophie, Wissenschaftstheorie und Religionswissenschaft, Geschwister-Scholl-Platz 1, 80539, München, Germany  |4 aut 
700 1 |a Fischer  |D Martin  |u Munich Center for Mathematical Philosophy, LMU Munich, Fakultät für Philosophie, Wissenschaftstheorie und Religionswissenschaft, Geschwister-Scholl-Platz 1, 80539, München, Germany  |4 aut 
773 0 |t Journal of Philosophical Logic  |d Springer Netherlands  |g 44/3(2015-06-01), 287-308  |x 0022-3611  |q 44:3<287  |1 2015  |2 44  |o 10992 
856 4 0 |u https://doi.org/10.1007/s10992-014-9319-5  |q text/html  |z Onlinezugriff via DOI 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Stern  |D Johannes  |u Munich Center for Mathematical Philosophy, LMU Munich, Fakultät für Philosophie, Wissenschaftstheorie und Religionswissenschaft, Geschwister-Scholl-Platz 1, 80539, München, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Fischer  |D Martin  |u Munich Center for Mathematical Philosophy, LMU Munich, Fakultät für Philosophie, Wissenschaftstheorie und Religionswissenschaft, Geschwister-Scholl-Platz 1, 80539, München, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Philosophical Logic  |d Springer Netherlands  |g 44/3(2015-06-01), 287-308  |x 0022-3611  |q 44:3<287  |1 2015  |2 44  |o 10992