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L'existence des objets logiques selon Frege

Published online by Cambridge University Press:  13 April 2010

François Rivenc
François Rivenc
Affiliation:
Université de Paris I
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Abstract

This article discusses several recent interpretations of Frege's philosophy of arithmetic, particularly those developed by C. Wright, M. Dummett, and G. Boolos. After proposing a new interpretation of § 10 of the Grundgesetze (about the indeterminacy of the referents of the names of the courses-of-values), and rejecting Dummett's analysis of Frege's failure in terms of impredicativity, I examine Boolos's objections to the analyticity of “Hume's Principle.” I wish to highlight the philosophical question: is the model-theoretical concept of validity adequate to the “intuitive notion” of the logically true?

Type
Articles
Information
Dialogue: Canadian Philosophical Review / Revue canadienne de philosophie , Volume 42 , Issue 2 , Spring 2003 , pp. 291 - 319
Copyright
Copyright © Canadian Philosophical Association 2003

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References

Références bibliographiques

Boolos, George 1998 Logic, Logic, and Logic, Cambridge, MA, Harvard University Press.Google Scholar
Demopoulos, William, dir. 1995 Frege's Philosophy of Mathematics, Cambridge, MA, Harvard University Press.Google Scholar
Dummett, Michael 1991 Frege: Philosophy of Mathematics, Cambridge, MA, Harvard University Press.Google Scholar
Etchemendy, John 1988 «Tarski on Truth and Logical Consequence», Journal of Symbolic Logic, vol. 53, p. 51–79.CrossRefGoogle Scholar
Frege, Gottlob 1879 Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens, Halle, Nebert (trad, anglaise par T. W. Bynum, dans G. Frege, Conceptual Notation and Related Articles, Oxford, Clarendon Press, 1972).Google Scholar
Frege, Gottlob 1884 Die Grundlagen der Arithmetik, Hambourg, Felix Meiner Verlag, 1988 (trad, anglaise par I L. Austin, Oxford, Basil Blackwell, 1953).Google Scholar
Frege, Gottlob 1893–1903 Grundgesetze der Arithmetik, begriffsschriftlich abgeleitet, tomes I-II, Iéna, Verlag Hermann Pohle; réimpr. Hildesheim, Georg Olms, 1962 (trad, anglaise partielle par M. Furth, Berkeley, CA, University of California Press, 1964).Google Scholar
Frege, Gottlob 1969 Nachgelassene Schriften, édités par Hermes, H., Kambartel, F. et Kaulbach, F., Hambourg, F. Meiner (trad, franç, sous la direction de Philippe de Rouilhan et de Claudine Tiercelin, Ecrits posthumes, Nîmes, Jacqueline Chambon, 1994).Google Scholar
Frege, Gottlob 1990 Kleine Schriften, édit–s par Angelelli, I., Hildesheim, Georg OlmsGoogle Scholar
Quine, W. V. 1954 «On Frege's Way Out», dans Selected Logic Papers, New York, Random House, 1966.Google Scholar
Wright, Crispin 1983 Frege's Conception of Numbers as Objects, Aberdeen, Aberdeen University Press.Google Scholar