Re-examining Russell's paralysis: Ramified type-theory and Wittgenstein's objection to Russell's theory of judgment

Russell - Journal of the Bertrand Russell Studies

Volumn 23, Issue 1, 2003, Pages 5-26

  Stevens, Graham ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745771867     PISSN: 00360163     EISSN: None     Source Type: Journal    
DOI: 10.15173/russell.v23i1.2036     Document Type: Article

References (38)

1. PM, 1: 41-3, 45-7 (all page references are to the 2nd edition, 1925-27)
2. Copi, The Theory of Logical Types [London: Routledge, 1971], p. 87
3. Church, Introduction to Mathematical Logic [Princeton, NJ: Princeton U. P., 1956], p. 351
4. and "A Comparison of Russell's Solution to the Semantical Antinomies with that of Tarski", Journal of Symbolic Logic, 41 [1976]: 747-60, at p. 748)
5. "From Russell's Paradox to the Theory of Judgment: Wittgenstein and Russell on the Unity of the Proposition", Theoria, forthcoming
6. E. R. Eames, Bertrand Russell's Dialogue with His Contemporaries (Carbondale and Edwardsville, Ill.: Southern Illinois U. P., 1989). pp. 143-4
7. (Auto., 1: 152)
8. Russell, "On Some Difficulties in the Theory of Transfinite Numbers and Order Types", reprinted in Essays in Analysis, ed. Douglas P. Lackey (London: Allen and Unwin, 1973), p. 164
9. I. Grattan-Guinness, Dear Russell - Dear Jourdain: a Commentary on Russell's Logic, Based on his Correspondence with Philip Jourdain [London: Duckworth, 1977], p. 89
10. Gregory Landini's, "New Evidence Concerning Russell's Substitutional Theory of Classes", Russell, n.s. 9 (1989): 26-42
11. A. D. Irvine and G. A. Wedeking, eds., Russell and Analytic Philosophy (Toronto: U. of Toronto P., 1993), pp. 361-94
12. Russell's Hidden Substitutional Theory (New York: Oxford U. P., 1998)
13. "Russell's Substitutional Theory", in Nicholas Griffin, ed., The Cambridge Companion to Bertrand Russell (Cambridge: Cambridge U. P., 2003), pp. 241-85
14. "Mathematics and the Metaphysicians", ML, p. 763
15. Papers 3: 366-7
16. "The Truth and Nothing But the Truth, Yet Never the Whole Truth: Frege, Russell and the Analysis of Unities", History and Philosophy of Logic, n.s. 24 (2003): 221-40
17. Russell, "On Substitution", manuscript dated 22 Dec. 1905 (Russell Archives file 220.0109406), 12.14
18. "On 'Insolubilia'", Essays in Analysis, p. 201
19. Russell, "On the Substitutional Theory of Classes and Relations", manuscript dated 24 April 1906 (Russell Archives file 220.010910), fol. 9
20. "The Development of the Theory of Logical Types and the Notion of a Logical Subject in Russell's Early Philosophy", Synthese, n.s. 45 [1980]: 95-6
21. Landini ("Reconciling PM's Ramified Type Theory with the Doctrine of the Unrestricted Variable of the Principles", in Irvine and Wedeking, pp. 361-94
22. Quine, Set Theory and its Logic [Cambridge, Mass.: Harvard U. P., 1963], p. 243)
23. "The Paradox of the Liar", manuscript dated Sept. 1906 (Russell Archives file 220.010930), fol. 72
24. Russell, letter to R. Hawtrey, in Bernard Linsky, "The Substitutional Paradox in Russell's Letter to Hawtrey", Russell, n.s. 22 (2002): 150-9
25. "The Theory of Logical Types". Indeed the paper is, in essence, Chapter 11 of the Introduction to Principia (both pieces also share the title)
26. Frege, "Function and Concept", reprinted in Frege, Translations from the Philosophical Writings, ed. P. Geach and M. Black, 3rd ed. (Oxford: Blackwell, 1980), p. 38
27. Frege, Philosophical and Mathematical Correspondence, ed. B. F. McGuinness, trans. Hans Kaal [Oxford: Blackwell, 1980], p. 144
28. Quine, "Logic and the Reification of Universals", From a Logical Point of View (Cambridge, Mass.: Harvard U. P., 1961; 1st ed., 1953), pp. 122-3
29. "On the Nature of Truth and Falsehood" in his Phibsophical Essays (London: Longmans, Green, 1910)
30. Papers 6
31. Papers 7: 116
32. Wittgenstein, Tractatus Logico-Philosophicus, trans. D. F. Pears and B. F. McGuinness (London: Routledge, 1961), 5.5422
33. Griffin, "Russell on the Nature of Logic (1903-1913)", Synthese, n.s. 45 (1980): 176-8
34. and "Wittgensteins Criticism of Russell's Theory of Judgment", Russell, n.s. 5 (1985): 144
35. Wittgenstein, Cambridge Letters, ed. B. F. McGuinness and G. H. von Wright (Oxford: Blackwell, 1995), p. 22
36. Stephen Sommerville, "Wittgenstein to Russell (July 1913): 'I Am Very Sorry to Hear ... My Objection Paralyses You'", in Language, Logic and Philosophy; Proceedings of the 4th International Wittgenstein Symposium (Vienna: Holder-Pichler-Tempsky, 1981), pp. 186-7
37. Griffin, "Russell's Multiple Relation Theory of Judgment", Philosophical Studies, n.s. 47 (1985): 243
38. "The Truth and Nothing But the Truth, Yet Never the Whole Truth: Frege, Russell and the Analysis of Unities" (2003)