David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 32 (6):613-665 (2003)
We explore in an experimental spirit the prospects for extending classical propositional logic with a new operator P intended to be interpreted when prefixed to a formula as saying that formula in question is at least partly true. The paradigm case of something which is, in the sense envisaged, false though still "partly" true is a conjunction one of whose conjuncts is false while the other is true. Ideally, we should like such a logic to extend classical logic - or any fragment thereof under consideration - conservatively, to be closed under uniform substitution (of arbitrary formulas for sentence letters or propositional variables), and to allow the substitutivity of provably equivalent formulas salva provabilitate. To varying degrees, we experience some difficulties only with this last ('congruentiality') desideratum in the two four-valued logics we end up giving our most extended consideration to
|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
No citations found.
Similar books and articles
Matti Eklund (2007). The Liar Paradox, Expressibility, Possible Languages. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Jay Garfield (2009). Mmountains Are Just Mountains. In Mario D'Amato, Jay L. Garfield & Tom J. F. Tillemans (eds.), Pointing at the Moon: Buddhism, Logic, Analytic Philosophy. Oxford University Press. 71--82.
J. Michael Dunn (2010). Contradictory Information: Too Much of a Good Thing. [REVIEW] Journal of Philosophical Logic 39 (4):425 - 452.
J. C. Beall (ed.) (2007). Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
L. A. Zadeh (1975). Fuzzy Logic and Approximate Reasoning. Synthese 30 (3-4):407-428.
Andreas Pietz & Umberto Rivieccio (2013). Nothing but the Truth. Journal of Philosophical Logic 42 (1):125-135.
Fred Seymour Michael (2002). Entailment and Bivalence. Journal of Philosophical Logic 31 (4):289-300.
Ernest Sosa (1969). Propositional Knowledge. Philosophical Studies 20 (3):33 - 43.
Added to index2009-01-28
Total downloads9 ( #172,934 of 1,413,175 )
Recent downloads (6 months)3 ( #67,254 of 1,413,175 )
How can I increase my downloads?