Logic and Sin: Wittgenstein's Philosophical Education at the Limits of Language

Unfortunately, Wittgenstein has entered the philosophical canon, an entrance that has served to reify interpretations of his work. In this essay I refer to recent books by Richard Eldridge (1997) and Phillip Shields (1998) which allow us again to see The Philosophical Investigations as something more than a stultifying relic. Specifically, these authors, by reading Wittgenstein's work not merely as text but also as performance, allow us to enact our own liberating performances of that work. To engage in such enactments of freedom is the essence of philosophical education in the sense established by extra-canonical writers such as Socrates and the Stoics, on the one hand, and Emerson and James, on the other. At least this is so if my use of the work of classicist Pierre Hadot, on the one hand, and brief reference to literary critic Richard Poirier, on the other, is at all successful in illuminating theses from Eldridge and Shields on the nature of Wittgensteinian philosophy.     

Wittgenstein's Lasting Significance

Books reviewed: Max Kölbel and Bernard Weiss (eds.), Wittgenstein's Lasting Significance (London: Routledge, 2004). x + 308, price £60.00 hb, ISBN 0‐415‐30517‐9.
Reviewed by Constantine Sandis, Oxford Brookes University
Oxford Brookes University
Harcourt Hill Campus
Oxford
OX2 9AT
csandis@brookes.ac.uk     

Wittgenstein's philosophies of mathematics

Wittgenstein's philosophy of mathematics has long been notorious. Part of the problem is that it has not been recognized that Wittgenstein, in fact, had two chief post-Tractatus conceptions of mathematics. I have labelled these the calculus conception and the language-game conception. The calculus conception forms a distinct middle period. The goal of my article is to provide a new framework for examining Wittgenstein's philosophies of mathematics and the evolution of his career as a whole. I posit the Hardyian Picture, modelled on the Augustinian Picture, to provide a structure for Wittgenstein's work on the philosophy of mathematics. Wittgenstein's calculus period has not been properly recognized, so I give a detailed account of the tenets of that stage in Wittgenstein's career. Wittgenstein's notorious remarks on contradiction are the test case for my theory of his transition. I show that the bizarreness of those remarks is largely due to the calculus conception, but that Wittgenstein's later language-game account of mathematics keeps the rejection of the Hardyian Picture while correcting the calculus conception's mistakes.The following abbreviations are used in this article to refer to Wittgenstein's works: WWK: Ludwig Wittgenstein and the Vienna Circle: Conversations Recorded by Friedrich Waismann, ed. B. F. McGuinness, trans. J. Schulte and B. F. McGuinness, Oxford: Basil Blackwell, 1979; CAM I: Wittgenstein's Lectures: Cambridge, 1930–32, ed. D. Lee, Chicago: University of Chicago Press, 1982; CAM II: Wittgenstein's Lectures: Cambridge, 1932–35; ed. A. Ambrose, Chicago: University of Chicago Press, 1982; PG: Philosophical Grammar, ed. R. Rhees, trans. A. Kenny, Oxford: Basil Blackwell, 1974; BIB: The Blue and Brown Books, Oxford: Basil Blackwell, 1958; LFM: Wittgenstein's Lectures on the Foundations of Mathematics: Cambridge, 1939, ed. C. Diamond, Ithaca: Cornell University Press, 1976; RFM: Remarks on the Foundations of Mathematics, ed. G. H. von Wright, R. Rhees, G. E. M. Anscombe, trans. G. E. M. Anscombe, revised ed., Cambridge: MIT Press, 1978; PI: Philosophical Investigations, ed. G. E. M. Anscombe, R. Rhees, trans. G. E. M. Anscombe, New York: Macmillan Company, 1953; Z: Zettel, ed. G. E. M. Anscombe, G. H. von Wright, trans. G. E. M. Anscombe, Berkeley and Los Angeles: University of California Press, 1970.References to PI and Z are to remark number; references to RFM are to part number (Roman numerals) and remark number (Arabic numerals); and references to the other works are to page numbers. As the evolutionary nature of Wittgenstein's work is an important theme of this article, following the abbreviation for the book in the text I have put in brackets the date of the book or the part of the book from which the quotation comes.     

Wittgenstein's Private Language Investigation

In this paper, I first review previous interpretations of Wittgenstein's remarks on private language, revealing their inadequacies, and then present my own interpretation. Basing mainly on Wittgenstein's notes for lectures on private sensations, I establish the following points: (i) ‘remembering the connection right’ means ‘reidentifying sensation‐types’; (ii) the reason for ‘no criterion of correctness’ is that nothing, especially no inner mechanisms nor external devices, can be utilised by the private speaker to tell whether some sensations are of one type or different types; and (iii) private names are not really names, private language is not really a language, therefore, private language is a grammatical illusion. My interpretation has the advantage of being able to reconcile Wittgenstein's conception of philosophy, which is to dissolve philosophical problems by rearranging grammatical facts, with his actual philosophical practice, at least in the case of private language.     

Wittgenstein's Account of Truth

Books reviewed: Sara Ellenbogen, Wittgenstein's Account of Truth, Suny Press, 2003, vii–xv + 148.
Reviewed by Randy Ramal, Claremont Graduate University
602 South College Avenue
Claremont, CA 91711
USA