David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
In Krister Segerberg & Rysiek Sliwinski (eds.), A Philosophical Smorgasbord: Essays on Action, Truth and Other Things in Honour of Fredrick Stoutland. Uppsala Philosophical Studies 52 (2003)
The main objective of this paper is to examine how theories of truth and reference that are in a broad sense Fregean in character are threatened by antinomies; in particular by the Epimenides paradox and versions of the so-called Russell-Myhill antinomy, an intensional analogue of Russell’s more well-known paradox for extensions. Frege’s ontology of propositions and senses has recently received renewed interest in connection with minimalist theories that take propositions (thoughts) and senses (concepts) as the primary bearers of truth and reference. In this paper, I will present a rigorous version of Frege’s theory of sense and denotation and show that it leads to antinomies. I am also going to discuss ways of modifying Frege’s semantical and ontological framework in order to avoid the paradoxes. In this connection, I explore the possibility of giving up the Fregean assumption of a universal domain of absolutely all objects, containing in addition to extensional objects also abstract intensional ones like propositions and singular concepts. I outline a cumulative hierarchy of Fregean propositions and senses, in analogy with Gödel’s hierarchy of constructible sets. In this hierarchy, there is no domain of all objects. Instead, every domain of objects is extendible with new objects that, on pain of contradiction, cannot belong to the given domain. According to this approach, there is no domain containing absolutely all propositions or absolutely all senses.
|Keywords||No keywords specified (fix it)|
|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
Oswaldo Chateaubriand (2007). The Truth of Thoughts: Variations on Fregean Themes. Grazer Philosophische Studien 75 (1):199-215.
Marco Ruffino (2000). Extensions as Representative Objects in Frege's Logic. Erkenntnis 52 (2):239-252.
Howard Wettstein (1990). Frege‐Russell Semantics? Dialectica 44 (1‐2):113-135.
Richard Gaskin (2008). The Unity of the Proposition. Oxford University Press.
Kevin C. Klement (2003). Russell-Myhill Paradox. Internet Encyclopedia of Philosophy.
Graham Stevens (2003). The Truth and Nothing but the Truth, yet Never the Whole Truth: Frege, Russell and the Analysis of Unities. History and Philosophy of Logic 24 (3):221-240.
Saul A. Kripke (2008). Frege's Theory of Sense and Reference: Some Exegetical Notes. Theoria 74 (3):181-218.
Kevin C. Klement (2001). Russell's Paradox in Appendix B of the Principles of Mathematics : Was Frege's Response Adequate? History and Philosophy of Logic 22 (1):13-28.
Kevin C. Klement (2009). A Cantorian Argument Against Frege's and Early Russell's Theories of Descriptions. In Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of. Routledge.
Added to index2009-07-24
Total downloads179 ( #22,943 of 1,924,709 )
Recent downloads (6 months)34 ( #11,720 of 1,924,709 )
How can I increase my downloads?