David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
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
|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
Matthias Schirn (2014). Frege's Logicism and the Neo-Fregean Project. Axiomathes 24 (2):207-243.
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.
Similar books and articles
Stewart Shapiro (2000). Frege Meets Dedekind: A Neologicist Treatment of Real Analysis. Notre Dame Journal of Formal Logic 41 (4):335--364.
William Demopoulos (1994). Frege and the Rigorization of Analysis. Journal of Philosophical Logic 23 (3):225 - 245.
Gregory Landini (2006). Frege's Cardinals as Concept-Correlates. Erkenntnis 65 (2):207 - 243.
Gregory Currie (1981). Ii. The Origin of Frege's Realism. Inquiry 24 (4):448 – 454.
Wolfgang Carl (1994). Frege's Theory of Sense and Reference: Its Origins and Scope. Cambridge University Press.
Neil Tennant (2003). Review of B. Hale and C. Wright, The Reason's Proper Study. [REVIEW] Philosophia Mathematica 11 (2):226-241.
Edward N. Zalta (1999). Natural Numbers and Natural Cardinals as Abstract Objects: A Partial Reconstruction of Frege"s Grundgesetze in Object Theory. [REVIEW] Journal of Philosophical Logic 28 (6):619-660.
William Demopoulus & William Bell (1993). Frege's Theory of Concepts and Objects and the Interpretation of Second-Order Logict. Philosophia Mathematica 1 (2):139-156.
Added to index2010-08-10
Total downloads29 ( #57,625 of 1,096,621 )
Recent downloads (6 months)6 ( #38,815 of 1,096,621 )
How can I increase my downloads?