David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 31 (6):591-612 (2002)
The knowability paradox is an instance of a remarkable reasoning pattern (actually, a pair of such patterns), in the course of which an occurrence of the possibility operator, the diamond, disappears. In the present paper, it is pointed out how the unwanted disappearance of the diamond may be escaped. The emphasis is not laid on a discussion of the contentious premise of the knowability paradox, namely that all truths are possibly known, but on how from this assumption the conclusion is derived that all truths are, in fact, known. Nevertheless, the solution offered is in the spirit of the constructivist attitude usually maintained by defenders of the anti-realist premise. In order to avoid the paradoxical reasoning, a paraconsistent constructive relevant modal epistemic logic with strong negation is defined semantically. The system is axiomatized and shown to be complete
|Keywords||constructive negation epistemic logic knowability paradox modal logic paraconsistent logic relevance logic|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Paolo Maffezioli, Alberto Naibo & Sara Negri (2013). The Church–Fitch Knowability Paradox in the Light of Structural Proof Theory. Synthese 190 (14):2677-2716.
W. Dean & H. Kurokawa (2010). From the Knowability Paradox to the Existence of Proofs. Synthese 176 (2):177 - 225.
Julien Murzi (2010). Knowability and Bivalence: Intuitionistic Solutions to the Paradox of Knowability. [REVIEW] Philosophical Studies 149 (2):269 - 281.
Fredrik Stjernberg (2008). The Knowability Paradox – by Jonathan Kvanvig. Theoria 74 (3):255-262.
Michael de (2013). Empirical Negation. Acta Analytica 28 (1):49-69.
Similar books and articles
Pierdaniele Giaretta (2009). The Paradox of Knowability From a Russellian Perspective. Prolegomena 8 (2):141-158.
Peter Marton (2006). Verificationists Versus Realists: The Battle Over Knowability. Synthese 151 (1):81 - 98.
Berit Brogaard & Joe Salerno, Fitch's Paradox of Knowability. The Stanford Encyclopedia of Philosophy.
Salvatore Florio & Julien Murzi (2009). The Paradox of Idealization. Analysis 69 (3):461-469.
Greg Restall (2009). Not Every Truth Can Be Known (at Least, Not All at Once). In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press. 339--354.
Berit Brogaard & Joe Salerno (2008). Knowability, Possibility and Paradox. In Vincent Hendricks (ed.), New Waves in Epistemology. Palgrave Macmillan.
Rafał Palczewski (2007). Distributed Knowability and Fitch's Paradox. Studia Logica 86 (3):455--478.
Bernhard Weiss (2007). Truth and the Enigma of Knowability. Dialectica 61 (4):521–537.
Added to index2009-01-28
Total downloads12 ( #130,189 of 1,102,876 )
Recent downloads (6 months)1 ( #297,281 of 1,102,876 )
How can I increase my downloads?