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Devising a Logical Notation in a Contextualist Setting

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Finding One’s Way Through Wittgenstein’s Philosophical Investigations

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Abstract

In this paper, my first proposal is to trace the notion of a language-game back to the idea of a logical notation as formulated in the Tractatus. In my reading both are motivated by the same project of rendering the actual use of our language clearly visible and thereby understandable by employing a certain artificial symbolism. To this effect, they form an important continuous thread in Wittgenstein’s conception of the form philosophical investigation has to take and of the kind of intelligibility of language one has to search for. But they also differ because of the change in Wittgenstein’s conception of language. To put it blankly, the synoptic representation (übersichtliche Darstellung), such as it is practised in the Philosophical Investigations, is nothing but the idea of a logical notation reshaped in such a way that it fits into a contextualist semantic picture. This interpretation implies—and this is my second proposal—reading the opening sections of the Philosophical Investigations in a specific way. In my view, they proceed through the use of language-games (that of the builders, in the first instance), which, when compared with our own language, allow us to see the latter more clearly by countering aspects that have a hold over us (such as the one that surfaces in Augustine’s narrative).

Suppose you look at a picture-puzzle:

At first you can see in it only a maze of lines;

then, suddenly, you recognize a human face (F. Waismann, “How I See Philosophy”, (1956, p. 376)).

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Notes

  1. 1.

    See Crary and Read (eds.) (2000) and the late Baker (2004).

  2. 2.

    This second perspective often leads to what we could call a semantic reading. See the context-sensitivity reading by Travis (2006).

  3. 3.

    Contrary to what Baker and Hacker take as read in their classical commentary.

  4. 4.

    Wittgenstein (2009), p. 4e.

  5. 5.

    See Baker (ed.) (2003), pp. 138 & 234.

  6. 6.

    Since Bedeutung has no role to play in the logical syntax (3.317, 3.33).

  7. 7.

    With respect to the nature of the grammatical rules, in particular.

  8. 8.

    See for instance 5.4733.

  9. 9.

    Phillips (2006).

  10. 10.

    Gandon (2002).

  11. 11.

    There would be much to say on the polemic value (against Russell and Frege) of the tabular notation. See Gandon (2002).

  12. 12.

    See Wittgenstein (1979, p. 80) about the relationship between syntactic rules and the intrinsic multiplicity of sign systems.

  13. 13.

    Russell (1985), Lecture II, pp. 58–9 (my emphasis). About the importance of “the theory of symbolism” in philosophy, see also Lecture I.

  14. 14.

    One commentator (Gandon 2002, p. 51) speaks of the “syntactic” dimension about this point of continuity between the early and the later Wittgenstein.

  15. 15.

    See Travis (2003, 2006). See also Conant (1998).

  16. 16.

    This, of course, implies deep changes in the way one has to conceive of grammar. Among other things, the grammatical rules do not mirror the essential structure of reality. I shall leave that point aside here.

  17. 17.

    Regarding Frege, for instance, see the Einleitung of his Begriffschrift.

  18. 18.

    See Pichler (1997), especially p. 36 sq., and (2004).

  19. 19.

    Baker (ed.) (2003), “Unsere Methode”, pp. 277 & 279.

  20. 20.

    See ibid., p. 288.

  21. 21.

    See Baker (2004).

  22. 22.

    “Die Metamorphosen der Pflanzen” (1798).

  23. 23.

    See on this point Schulte (1990).

  24. 24.

    Baker (ed.) (2003), p. 279.

  25. 25.

    More on this below.

  26. 26.

    Ibid., p. 69.

  27. 27.

    Compare with the Big Typescript, § 7 (Wittgenstein 2005).

  28. 28.

    Wittgenstein (2001), Ts 220, p. 281.

  29. 29.

    See for instance Wittgenstein (2009) section 130 which is a retrospective comment on the opening sections: “ein Licht werfen in die Verhältnisse unserer Sprache”. See also “Unsere Methode”, p. 278, 280 & 289. This has to be contrasted with the idea that logical analysis has to bring to light something hidden (section 91). The latter idea refers to the picture of a hidden logical form that would have to be disclosed, while everything is visible from the outset in the PI. All that is necessary is to structure one’s sight so that what one sees becomes understandable.

  30. 30.

    Waismann (1956), p. 376.

  31. 31.

    More details below.

  32. 32.

    Wittgenstein happens to apply Sprachspiel to actual uses of our own language (see for instance PI, sections 654, 655). I do not consider this kind of application of the term here.

  33. 33.

    Wittgenstein actually uses the term “language-game” in two ways: on the one hand, to designate the constructed pieces of language he employs in his practice of philosophy; on the other hand, to designate the actual ways we use our language (among others, see § 654). It should be obvious that here I am dealing with the first kind.

  34. 34.

    Baker (ed.) (2003), p. 279 (quoted above) and Wittgenstein (2001), Ts 220, p. 282: “Wir ändern nun den Aspekt, indem wir einem System des Ausdrucks andere an die Seite stellen. – So kann der Bann, in dem uns eine Analogie halt, gebrochen werden, wenn man ihr eine andere an die Seite stellt, die wir als gleichberechtigt anerkennen”.

  35. 35.

    See sections 15, 53 in particular.

  36. 36.

    See for instance the beginning of section 53.

  37. 37.

    See Travis (1989, ch. 3).

  38. 38.

    See Goldfarb (1983), p. 266.

  39. 39.

    The later Baker does a great deal of that.

  40. 40.

    See sections 1, 49.

  41. 41.

    See Pichler (2004, ch. 4–5) and Perrin (2011) on this point.

  42. 42.

    See The Brown Book (1958) and Eine Philosophische Betrachtung (1984).

  43. 43.

    Wittgenstein (2005), p. 23e.

  44. 44.

    Ts 220, § 91.

  45. 45.

    See Wittgenstein (2001), Ts 227, § 1 and § 134 for instance.

  46. 46.

    On the importance of the idea of Hinweisen in Augustinus’ description, see Wittgenstein (2005), § 7 and (1984), p. 117.

  47. 47.

    Ts 220, § 93.

  48. 48.

    Ts 227, § 10, 13, 14.

  49. 49.

    Ibid., § 104.

  50. 50.

    It is sometimes compared to another expression, but not necessarily so. See Ts 220, § 98: in this section, Wittgenstein implicitly refers to the Blue Book where he underscores just how dangerous it is to compare time to a band that unrolls.

  51. 51.

    Ts 220, § 93.

  52. 52.

    Not to be confused with the notion of Bild such as used by the PI, of course.

  53. 53.

    Baker (ed.) (2003), pp. 232–5.

  54. 54.

    See PI, section 10.

  55. 55.

    See Schulte (2008, p. 207).

  56. 56.

    See Goldfarb (1983), Cavell (1996) and Travis (2003).

  57. 57.

    For instance in Wittgenstein (1984).

  58. 58.

    Ts 220, § 92, 95.

  59. 59.

    As will become obvious, my reading is indebted toward Goldfarb (1983), Cavell (1996) and Schulte (2008), though it has its own line.

  60. 60.

    Section 5 refers primarily to that kind of language-game: “It disperses the fog if we study the phenomena of language in primitive kinds of use in which one can clearly survey the purpose and functioning of the words” (my emphasis).

  61. 61.

    See Cavell (1996), Goldfarb (1983), Schulte (2008). Calling such a simple set of words use a “language”, as Wittgenstein does, is part of the same intention.

  62. 62.

    See Wittgenstein (1958), pp. 19 & 81, and Waismann (1956).

  63. 63.

    See section 8 and the retrospective comment by Wittgenstein in Zettel (1989, § 98–9). In (2005, § 7, p. 23e.), Wittgenstein already says that the “game” of the builders “does occur in reality”.

  64. 64.

    Goldfarb (1983, p. 280). See also ibid., p. 272 and Cavell (1996, p. 293).

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Perrin, D. (2017). Devising a Logical Notation in a Contextualist Setting. In: Bermon, E., Narboux, JP. (eds) Finding One’s Way Through Wittgenstein’s Philosophical Investigations. Nordic Wittgenstein Studies, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-63507-1_7

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