Fictional propositions and the unprovability of consistency
Grazer Philosophische Studien 72 (1):201-210 (2006)
| Abstract | We introduce an epistemic version of validity and completeness of first order logic, based on the notions of ideal agent and fictional model. We then show how the perspective here considered may help to solve an epistemic puzzle arising from Gödel's second incompleteness theorem. | |||||||||
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William J. Rapaport (1976). On Cogito Propositions. Philosophical Studies 29 (1):63-68.
George Boolos (1993). The Logic of Provability. Cambridge University Press.
Benjamin Schnieder & Tatjana von Solodkoff (2009). In Defence of Fictional Realism. Philosophical Quarterly 59 (234):138-149.
Francesca Rivetti Barbò (1968). A Philosophical Remark on Gödel's Unprovability of Consistency Proof. Notre Dame Journal of Formal Logic 9 (1):67-74.
George Boolos (1979). The Unprovability of Consistency: An Essay in Modal Logic. Cambridge University Press.
G. Longo (2011). Reflections on Concrete Incompleteness. Philosophia Mathematica 19 (3):255-280.
Hartry Field (2006). Truth and the Unprovability of Consistency. Mind 115 (459):567 - 605.
Massimiliano Vignolo (2009). Pleonastic Entities: Fictional Characters and Propositions. Philosophical Investigations 32 (1):65-78.
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