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Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method pp 239–256Cite as

Reason and Knowledge

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Part of the book series: Logic, Argumentation & Reasoning ((LARI,volume 1))

Abstract

The limitations of mathematical logic and the divorce of logic from method suggest that a different approach to logic is necessary, based on an alternative logic paradigm.

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Notes

  1. 1.

    Wittgenstein (1979, 1.8.16).

  2. 2.

    Ibid., 8.7.16.

  3. 3.

    Wittgenstein (1922, 6.13).

  4. 4.

    Ibid., 5.511.

  5. 5.

    Ibid., 5.61.

  6. 6.

    Ibid., 5.4711.

  7. 7.

    Ivancevic and Ivancevic (2008, 13).

  8. 8.

    Peirce (1931–1958, 4.551).

  9. 9.

    Dewey (1938, 9).

  10. 10.

    Russell (1954, viii).

  11. 11.

    Rescher (1988, 96).

  12. 12.

    Ibid., 100.

  13. 13.

    Ibid., 99.

  14. 14.

    Aristotle, Ethica Nicomachea, Γ 3, 1112 b 11–12.

  15. 15.

    Ibid., Γ 3, 1112 b 12–15.

  16. 16.

    Heidegger (1998, 247).

  17. 17.

    Ibid., 248

  18. 18.

    Ibid., 248–249.

  19. 19.

    Ibid., 272.

  20. 20.

    Pinker (1995, 18).

  21. 21.

    Ibid.

  22. 22.

    In addition to human culture there are also non-human cultures, but this will not be pursued here.

  23. 23.

    Aristotle, Physica, B 8, 198 b 17.

  24. 24.

    Other reasons why this view is untenable are presented in Cellucci (2008a), Chapter 11.

  25. 25.

    Renfrew (2008, 2041).

  26. 26.

    For more on this, see Cellucci (2008a), Chapter 21.

  27. 27.

    Dewey (1916, 13–14).

  28. 28.

    Ibid., 14.

  29. 29.

    Ibid.

  30. 30.

    Calvino (1985, 114).

  31. 31.

    Ibid.

  32. 32.

    Ibid.

  33. 33.

    Ibid.

  34. 34.

    Fodor (1981, 228).

  35. 35.

    Dehaene and Cohen (2007, 384).

  36. 36.

    Ibid.

  37. 37.

    Descartes (1996, VII, 442).

  38. 38.

    Ibid., VII, 246.

  39. 39.

    Ibid., I, 413.

  40. 40.

    Sullivan (2009, 66).

  41. 41.

    Concerning the dependence of what we can know on our perceptual and conceptual systems, see also the remarks in Rescher (2009), Chapter 3.

  42. 42.

    Kant (1997a, 350, B 310–311).

  43. 43.

    Ibid., 381, B 345.

  44. 44.

    Kant (2002, 143).

  45. 45.

    Plotkin (1997, 241).

  46. 46.

    Ibid.

  47. 47.

    Nagel (1986, 101).

  48. 48.

    Ibid., 104.

  49. 49.

    Suppes (1984, 10).

  50. 50.

    Aristotle, Metaphysica, A 2, 982 b 20–21.

  51. 51.

    Aristotle, Ethica Nicomachea, K 7, 1177 b 2.

  52. 52.

    Homer, Ilias, XVII.645–648.

  53. 53.

    Aristotle, Metaphysica, A 1, 981 b 21–22.

  54. 54.

    Ibid., A 2, 982 b 22–24.

  55. 55.

    Mach (1976, 361).

  56. 56.

    Ibid.

  57. 57.

    Spelke (2011, 287).

  58. 58.

    For some examples, see Devlin (2005).

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  1. Sapienza University of Rome, Rome, Italy

    Carlo Cellucci

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  1. Carlo Cellucci
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Cellucci, C. (2013). Reason and Knowledge. In: Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method. Logic, Argumentation & Reasoning, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6091-2_14

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