David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Grazer Philosophische Studien 75 (1):27-63 (2007)
In recent work on Frege, one of the most salient issues has been whether he was prepared to make serious use of semantical notions such as reference and truth. I argue here Frege did make very serious use of semantical concepts. I argue, first, that Frege had reason to be interested in the question how the axioms and rules of his formal theory might be justified and, second, that he explicitly commits himself to offering a justification that appeals to the notion of reference. I then discuss the justifications Frege offered, focusing on his discussion of inferences involving free variables, in section 17 of Grundgesetze, and his argument, in sections 29-32, that every well-formed expression of his formal language has a unique reference.
|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
Richard Heck & Robert May (2011). The Composition of Thoughts. Noûs 45 (1):126-166.
Günther Eder (forthcoming). Frege’s ‘On the Foundations of Geometry’ and Axiomatic Metatheory. Mind:fzv101.
Nicholas J. J. Smith (2009). Frege's Judgement Stroke and the Conception of Logic as the Study of Inference Not Consequence. Philosophy Compass 4 (4):639-665.
Richard G. Heck (forthcoming). Is Frege's Definition of the Ancestral Adequate. Philosophia Mathematica:nkv020.
Matthias Schirn (2006). Hume's Principle and Axiom V Reconsidered: Critical Reflections on Frege and His Interpreters. Synthese 148 (1):171 - 227.
Similar books and articles
Wolfgang Carl (1994). Frege's Theory of Sense and Reference: Its Origins and Scope. Cambridge University Press.
Richard Heck (1999). Grundgesetze der Arithmetic I §10. Philosophia Mathematica 7 (3):258-292.
Øystein Linnebo (2004). Frege's Proof of Referentiality. Notre Dame Journal of Formal Logic 45 (2):73-98.
Joan Weiner (2005). Semantic Descent. Mind 114 (454):321-354.
Clinton Tolley (2011). Frege's Elucidatory Holism. Inquiry 54 (3):226-251.
Richard Heck & Robert May (2006). Oxford Handbook of Philosophy of Language. Oxford University Press.
Edward Martin (1982). Referentiality in Frege'sgrundgesetze. History and Philosophy of Logic 3 (2):151-164.
William Demopoulos (1994). Frege, Hilbert, and the Conceptual Structure of Model Theory. History and Philosophy of Logic 15 (2):211-225.
Joan Weiner (2008). How Tarskian is Frege? Mind 117 (466):427-450.
Howard Wettstein (1990). Frege‐Russell Semantics? Dialectica 44 (1‐2):113-135.
Added to index2009-01-28
Total downloads135 ( #17,929 of 1,726,249 )
Recent downloads (6 months)57 ( #20,575 of 1,726,249 )
How can I increase my downloads?