References
G. Boolos (1987) ‘The Consistency of Frege’s Foundations of Arithmetic’ J.J. Thomson (Eds) On being and saying: Essays for Richard Cartwright The MIT Press Cambridge, Massachusetts 3–20
G. Boolos (1997) ‘Is Hume’s Principle Analytic?’ R. Heck SuffixJr (Eds) Language, Thought, and Logic Oxford University Press Oxford 245–261
Burgess, J. (forthcoming): ‘Review of Fine’ (2002), Notre Dame Journal of Formal Logic
Clark, P. (2000): ‘Indefinite Extensibility and Set Theory’, talk to Arché workshop on abstraction, University of St. Andrews
K. Fine (2002) The Limits of Abstraction Oxford University Press Oxford
M. Foreman W.H. Woodin (1991) ArticleTitle‘The Generalized Continuum Hypothesis Can Fail Everywhere’ Annals of Mathematics 133 IssueID2 1–35
Frege, G. (1879): Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens, Halle, Louis Nebert, translated From Frege to Gödel, edited by J. van Heijenoort, Cambridge, Massachusetts, Harvard University Press, 1967, pp. 1–82
G. Frege (1906) ArticleTitle‘Über die Grundlagen der Geometrie’ Jahresbericht der Mathematiker-Vereinigung. 15 293–309
W. Goldfarb (1979) ArticleTitle‘Logic in the Twenties: The Nature of the Quantifier’ Journal of Symbolic Logic 44 351–368
Bob. Hale (1987) Abstract Objects Basil Blackwell Oxford
Bob Hale (2000) ArticleTitle‘Abstraction and Set Theory’ Notre Dame Journal of Formal Logic. 41 379–398 Occurrence Handle10.1305/ndjfl/1038336882
I. Jané (1993) ArticleTitle‘A Critical Appraisal of Second-order Logic’ History and Philosophy of Logic 14 67–86
Levy, A. (1969): ‘The Definability of Cardinal Numbers’, in J.J. Bulloff, T.C. Holyoke and S.W. Hahn (eds.) Foundations of Mathematics: Symposium Papers Commemorating the Sixtieth Birthday of Kurt Gödel, Berlin: Spring-Verlag, pp. 15–38
P. Maddy (1997) Naturalism in Mathematics Oxford University Press Oxford
W.V.O. Quine (1986) Philosophy of Logic, second edition Prentice Hall Englewood Cliffs, New Jersey
T. Rickets (1997) ArticleTitle‘Frege’s 1906 Foray into Metalogic’ Philosophical Topics 25 169–188
S. Shapiro (1991) Foundations without foundationalism: A Case for Second-order Logic Oxford University Press Oxford
S. Shapiro (2003) ArticleTitle‘Prolegomenon to any Future Neo-logicist Set Theory: Abstraction and Indefinite Extensibility’ British Journal for the Philosophy of Science 54 59–91 Occurrence Handle10.1093/bjps/54.1.59
J. Van Heijenoort (1967) ArticleTitle‘Logic as Calculus and Logic as Language’ Synthese 17 324–330 Occurrence Handle10.1007/BF00485036
Wright C. (1983). Frege’s Conception of Numbers as Objects, Aberdeen University Press
C. Wright (1997) ‘On the philosophical significance of Frege’s theorem’ R. Heck SuffixJr (Eds) Language, Thought, and Logic Oxford University Press Oxford 201–244
C. Wright (1999) ArticleTitle‘Is Hume’s Principle Analytic’ Notre Dame Journal of Formal Logic 40 6–30 Occurrence Handle10.1305/ndjfl/1039096303
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shapiro, S. Sets and Abstracts – Discussion. Philos Stud 122, 315–332 (2005). https://doi.org/10.1007/s11098-004-4923-9
Issue Date:
DOI: https://doi.org/10.1007/s11098-004-4923-9