David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
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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Richard Heck & Robert May (2011). The Composition of Thoughts. Noûs 45 (1):126-166.
Günther Eder (2016). Boolos and the Metamathematics of Quine's Definitions of Logical Truth and Consequence. History and Philosophy of Logic 37 (2):170-193.
Günther Eder (2016). Frege’s ‘On the Foundations of Geometry’ and Axiomatic Metatheory. Mind 125 (497):5-40.
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.
Philip A. Ebert (2016). Frege on Sense Identity, Basic Law V, and Analysis. Philosophia Mathematica 24 (1):9-29.
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