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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 129))

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Abstract

The task of a formal epistemology is defined. It appears that a formal epistemology must be a generalization of “logic” in the sense of Wittgenstein’s Tractatus. The generalization is required because, whereas logic presupposes a strict relation between activity and language, this relation may be broken in some domains of experimental enquiry (e.g., in microscopic physics). However, a formal epistemology should also retain a major feature of Wittgenstein’s “logic”: It must not be a discourse about scientific knowledge, but rather a way of making manifest the structures usually implicit in knowledge-gaining activity. This strategy is applied to the formalism of quantum mechanics.

See “Important Note” on p. xvii.

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References

  1. I. Kant, Prolegomena zu einer jeden kunftigen Metaphysik, die als Wissenschaft wird auftreten können, 1783, §36. A standard English translation can be found in: I. Kant Prolegomena to Any Future Metaphysics that Will be Able to Present Itself as Science (Manchester University Press, 1971). As J. Petitot pointed out, Kant however modified this very strict transcendental standpoint in his Opus Postumum: J. Petitot, La philosophie transcendantale et le problème de ľobjectivité (Osiris, 1991).

    Google Scholar 

  2. H. Putnam, Définitions (Pourquoi ne peut-on pas ‘naturaliser’ la raison) (Ľéclat, 1992), p. 41.

    Google Scholar 

  3. J. Piaget, “Introduction,” in J. Piaget, ed., Logique et connaissance scientifique (Pleiade-Gallimard, 1967), p. 3.

    Google Scholar 

  4. E. Husserl, Formale und Transzendentale Logik, in Jahrbuch für Philosophie und phänomenologische Forschung X (1929), §5.

    Google Scholar 

  5. Formale und Transzendentale Logik, in Jahrbuch für Philosophie und phänomenologische ForschungX (1929) Ibid., §9.

    Google Scholar 

  6. Formale und Transzendentale Logik, in Jahrbuch für Philosophie und phänomenologische ForschungX (1929) Ibid., §6.

    Google Scholar 

  7. Formale und Transzendentale Logik, in Jahrbuch für Philosophie und phänomenologische ForschungX (1929) Ibid., §27.

    Google Scholar 

  8. M. Heidegger, Kant und das Problem der Metaphysik (Klostermann, 1991), §24.

    Google Scholar 

  9. I. Kant, Kritik der reinen Vernunf, A158, B197; translation by V. Politis, Critique of Pure Reason (Everyman’s Library, 1993).

    Google Scholar 

  10. I. Kant, Introduction to Logic, T. K. Abbott, ed. (New York, 1963), Chap. VII.

    Google Scholar 

  11. op. cit. [1], §10.

    Google Scholar 

  12. I. Kant, Introduction to Logic, op. cit. [10], Chap. I.

    Google Scholar 

  13. I. Kant, Prolegomena zu einer jeden künftigen Metaphysik, die als Wissenschaft wird auftreten können, op. cit. [10], §13.

    Google Scholar 

  14. I. Kant, Introduction to Logic, op. cit. [10], Chap. I.

    Google Scholar 

  15. G. G. Granger, Formes, opérations, objets (Vrin, 1994), p. 75.

    Google Scholar 

  16. L. Wittgenstein, Tractatus logico-philosophicus (Routledge & Kegan Paul, 1963), 6.13.

    Google Scholar 

  17. J. Piaget “Epistémologie de la logique,” in J. Piaget, ed., Logique et connaissance scientifique, op. cit. [3], p. 385.

    Google Scholar 

  18. Epistémologie de la logique,” in J. Piaget ed., Logique et connaissance scientifique (Pleiade-Gallimard, 1967) Ibid., p. 383; see J. Piaget, Introduction ľépistémologie génétique, 1/La pensée mathématique (P.U.F., 1973.).

    Google Scholar 

  19. J. Piaget, “Epistémologie de la logique,” in J. Piaget, ed., Logique et connaissance scientifique, op. cit. [3], p. 388.

    Google Scholar 

  20. Epistémologie de la logique,” in J. Piaget, ed., Logique et connaissanxce scientifique (Pleiade-Gallimard, 1967) Ibid., p. 397.

    Google Scholar 

  21. J. Habermas, Zur Logik der Sozialwissenschaften (Suhrkamp, 1982).

    Google Scholar 

  22. See, for example, J. Dewey, Logic: The theory of Inquiry (Holt, 1938).

    Google Scholar 

  23. J. Piaget, “Introduction,” in J. Piaget, ed., Logique et connaissance scientifique, op. cit. [3], p. 4.

    Google Scholar 

  24. L. Wittgenstein, Tractatus logico-philosophicus, op. cit., 6.13.

    Google Scholar 

  25. Ibid., 6.124.

    Google Scholar 

  26. Ibid., 2.19.

    Google Scholar 

  27. Ibid., 2.171.

    Google Scholar 

  28. Ibid., 4.1.

    Google Scholar 

  29. L. Wittgenstein, Philosophical Investigations (Blackwell, 1958).

    Google Scholar 

  30. J. Bouveresse, Wittgenstein, la rime et la raison (Editions de Minuit, 1973), p. 67.

    Google Scholar 

  31. L. Wittgenstein, Philosophical Investigations, op. cit. [29], Chaps. II and XII.

    Google Scholar 

  32. J. Bouveresse, La force de la règle (Editions de Minuit, 1987), p. 142.

    Google Scholar 

  33. H. Putnam, Définitions (Pourquoi ne peut-on pas ‘naturaliser’ la raison), op. cit. [2], p. 71.

    Google Scholar 

  34. L. Wittgenstein, On Certainty (Blackwell, 1969), §174.

    Google Scholar 

  35. Ibid., §94.

    Google Scholar 

  36. G. G. Granger, Formes, opérations, objets, op. cit. [15], p. 113.

    Google Scholar 

  37. E. Husserl, Formale und Transzendentale Logik, op. cit., 92.

    Google Scholar 

  38. M. Mugur-Schächter, “Space-time quantum probabilities, relativized descriptions, and Popperian propensities I and II,” Found. Phys. 21, 1387 (1991); 22, 235 (1992).

    Article  MathSciNet  Google Scholar 

  39. E. Husserl, Erfahrung und Urteil (Glaassen & Goverts, 1954), §47.

    Google Scholar 

  40. Ibid., §8.

    Google Scholar 

  41. M. Bitbol, Mécanique quantique: Une introduction philosophique (Flammarion, 1996).

    Google Scholar 

  42. N. Bohr, Physique atomique et connaissance humaine, with Introduction and annotations by C. Chevalley (Folio-Gallimard, 1991). F. Lurat, Niels Bohr (Criterion, 1990).

    Google Scholar 

  43. P. Heelan “Quantum and classical logic: Their respective roles,” Synthese 21, 2–33 (1970). M. Bitbol, op cit. [41].

    Article  MATH  MathSciNet  Google Scholar 

  44. S. Watanabe, “The algebra of observation,” Suppl. Prog. Theor. Phys. 37 and 38, 350–367 (1966).

    MATH  Google Scholar 

  45. M. Mugur-Schächter, “From quantum mechanics to universal structures of conceptualization and feedback on quantum mechanics,” Found. Phys. 23, 37 (1993).

    Article  MathSciNet  Google Scholar 

  46. E. Schrödinger, The Interpretation of Quantum Mechanics, edited and with introduction by M. Bitbol (Ox Bow Press, 1995). M. Bitbol, Schrödinger’s Philosophy of Quantum Mechanics (Kluwer Academic, 1996).

    Google Scholar 

  47. For a comparative analysis of these diverse approaches, see: M. Bitbol, op. cit. [41]; “Quasi-réalisme et pensée physique,” Critique 564, 340–361; Ľaveuglante proximité du réel,” Critique 576, 359–383.

    Google Scholar 

  48. M. Serres, Les origines de la géométrie (Flammarion, 1993), p. 21.

    Google Scholar 

  49. Ibid., p. 27.

    Google Scholar 

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Bitbol, M. (2003). Formalized Epistemology, Logic, and Grammar. In: Mugur-Schächter, M., van der Merwe, A. (eds) Quantum Mechanics, Mathematics, Cognition and Action. Fundamental Theories of Physics, vol 129. Springer, Dordrecht. https://doi.org/10.1007/0-306-48144-8_3

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  • DOI: https://doi.org/10.1007/0-306-48144-8_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1120-7

  • Online ISBN: 978-0-306-48144-4

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