David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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History and Philosophy of Logic 8 (1):25--44 (1987)
Frege's theory of real numbers has undeservedly received almost no attention, in part because what we have is only a fragment. Yet his theory is interesting for the light it throws on logicism, and it is quite different from standard modern approaches. Frege polemicizes vigorously against his contemporaries, sketches the main features of his own radical alternative, and begins the formal development. This paper summarizes and expounds what he has to say, and goes on to reconstruct the most important steps which he is likely to have subsequently taken. The various difficulties facing his theory in this reconstruction are outlined, and some surprising consequences drawn about the nature of his logicism
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Citations of this work BETA
Matthias Schirn (2013). Frege's Approach to the Foundations of Analysis (1874–1903). History and Philosophy of Logic 34 (3):266-292.
Stewart Shapiro (2012). An “I” for an I: Singular Terms, Uniqueness, and Reference. Review of Symbolic Logic 5 (3):380-415.
Matthias Schirn (2014). Frege's Logicism and the Neo-Fregean Project. Axiomathes 24 (2):207-243.
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