David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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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.
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Citations of this work BETA
Günther Eder (forthcoming). Frege’s ‘On the Foundations of Geometry’ and Axiomatic Metatheory. Mind:fzv101.
Richard Heck & Robert May (2011). The Composition of Thoughts. Noûs 45 (1):126-166.
Richard G. Heck (forthcoming). Is Frege's Definition of the Ancestral Adequate. Philosophia Mathematica:nkv020.
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.
Matthias Schirn (2006). Hume's Principle and Axiom V Reconsidered: Critical Reflections on Frege and His Interpreters. Synthese 148 (1):171 - 227.
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