David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 34 (2):207 - 216 (2005)
There is a little known paradox the solution to which is a guide to a much more thoroughgoing solution to a whole range of classic paradoxes. This is shown in this paper with respect to Berry's Paradox, Heterologicality, Russell's Paradox, and the Paradox of Predication, also the Liar and the Strengthened Liar, using primarily the epsilon calculus. The solutions, however, show not only that the first-order predicate calculus derived from Frege is inadequate as a basis for a clear science, and should be replaced with Hilbert and Bernays' conservative extension. Standard second-order logic, and quantified propositional logic also must be substantially modified, to incorporate, in the first place, nominalizations of predicates, and whole sentences. And further modifications must be made, so as to insist that predicates are parts of sentences rather than forms of them, and that truth is a property of propositions rather than their sentential expressions. In all, a thorough reworking of what has been called 'logic' in recent years must be undertaken, to make it more fit for use
|Keywords||epsilon calculus logical paradoxes predicative nominalisations ‘that’-clauses|
|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
Hartley Slater (2007). Logic and Grammar. Ratio 20 (2):206–218.
Similar books and articles
Jon Barwise (1987). The Liar: An Essay on Truth and Circularity. Oxford University Press.
Stamatios Gerogiorgakis (2009). The Byzantine Liar. History and Philosophy of Logic 30 (4):313-330.
Kevin Scharp (2010). Truth's Saviour? [REVIEW] Philosophical Quarterly 60 (238):183 - 188.
Jay Newhard (2005). Grelling's Paradox. Philosophical Studies 126 (1):1 - 27.
Shahid Rahman, Tero Tulenheimo & Emmanuel Genot (eds.) (2008). Unity, Truth and the Liar: The Modern Relevance of Medieval Solutions to the Liar Paradox. Springer.
Xuefeng Wen (2007). A Propositional Logic with Relative Identity Connective and a Partial Solution to the Paradox of Analysis. Studia Logica 85 (2):251 - 260.
Keith Simmons (1987). On a Medieval Solution to the Liar Paradox. History and Philosophy of Logic 8 (2):121-140.
Joachim Bromand (2002). Why Paraconsistent Logic Can Only Tell Half the Truth. Mind 111 (444):741-749.
Hartry Field (2003). A Revenge-Immune Solution to the Semantic Paradoxes. Journal of Philosophical Logic 32 (2):139-177.
Added to index2009-01-28
Total downloads10 ( #170,909 of 1,692,490 )
Recent downloads (6 months)2 ( #111,548 of 1,692,490 )
How can I increase my downloads?