The implicit definition of the set-concept

Synthese

Volumn 138, Issue 3, 2004, Pages 417-451

  Muller, F A ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

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[No Author keywords available]

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EID: 21244451253     PISSN: 00397857     EISSN: 15730964     Source Type: Journal    
DOI: 10.1023/B:SYNT.0000016439.37687.78     Document Type: Article

References (21)

1. Black, M.: 1971, 'The Elusiveness of Sets', Review of Metaphysics 24, 614-636.
2. Cantor, G.: 1895, 'Beiträge zur Begründung der transfinieten Mengenlehre I', Mathematische Annalen 46, 481-512.
3. Fraenkel, A. A., Y. Bar-Hillel, A. Lévy, and D. van Dalen: 1973, Foundations of Set Theory (2nd ed.), North-Holland, Amsterdam.
4. Frege, G.: 1980, in G. Gabriel (ed.), Philosophical and Mathematical Correspondence, Basil Blackwell, Oxford.
5. Frege, G.:1984, in B. McGuiness (ed.), Collected Papers on Mathematics, Logic and Philosophy, Basil Blackwell, Oxford.
6. Hale, B. and C. Wright: 2001, 'Implicit Definition and the A Priori', in Reason's Proper Study. Essays towards a Neo-Fregean Philosophy of Mathematics, Clarendon Press, Oxford.
7. Hallett, M.: 1984, Cantorian set theory and limitation of size. Clarendon Press, Oxford.
8. Hilbert, D.: 1925, 'Über das Unendliche', Mathematische Annalen 95, 161-190.
9. Hodges, W.: 1993, Model Theory, Cambridge University Press, Cambridge.
10. Horwich, P.: 1998, Meaning, Clarendon Press, Oxford.
11. Jane, I.: 2001, 'Reflections on Skolem's Relativity of Set-Theoretical Concepts', Philosophic Mathematicae 9, 129-153.
12. Kanamori, A.: 1994, The Higher Infinite. Large Cardinals in Set Theory from Their Beginnings, Springer-Verlag, Berlin-New York.
13. Lavine, S.: 1994, Understanding the Infinite, Harvard University Press, Cambridge, MA.
14. Muller, F. A.: 2002, 'The Principle of Absolute Infinity', to be submitted.
15. Muller, F. A.: 2003, 'Deflating Skolem', submitted.
16. Neumann, J. von: 1925, 'Eine Axiomatisierung der Mengenlehre', Journal für die Mathematik 154, 219-240,
17. in J. von Neumann, Collected Works I, A. H. Taub (ed.), Pergamon Press, Oxford, 1961, 35-47.
18. Prior, A. N.: 1960, 'The Runabout Inference-Ticket', Analysis 21, 38-39.
19. Wang, H.: 1996, A Logical Journey. From Gödel to Philosophy, MIT Press, Cambridge, MA.
20. Whitehead, A. N. and B. A. W. Russell: 1910, Principia Mathematica, Volume I, Cambridge University Press, Cambridge.
21. Wittgenstein, L.: 1979, in A. Ambrose (ed.), Cambridge Lectures 1932-1935, Basil Blackwell, Oxford.