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Kant or Cassirer: A study in complementarity

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Summary

The paper considers Ernst' Cassirer's standpoint with reference to Euclidean geometry and the complementarity principle of quantum theory, interpreted as a choice between a causal description and a space — time description. The acceptance of the complementarity principle by Cassirer not only lands him off the Kantian path slightly, but it also leads him to some contradictions and incompatibilities within his own system of thought. 1. Accepting complementarity, Cassirer cannot still hold that there is an infinite hierarchy of objective levels as he does towards the end of hisDeterminismus; and 2. accepting complementarity, Cassirer cannot still hold on to the observability principle of Leibniz.

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References

  1. Cassirer, E.:Determinism and Indeterminism in Modern Physics' tr. T. Benfey, Yale. New Haven, 1956, forward.

  2. Cassirer, Ernst:Substance and Function and Einstein's theory of Relativity, trs. W. C. Swabey & M. C. Swabey, Dover 1953 (hereafter abbriviated as SFER).

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  6. ibid. p. 412.

  7. For the orders in physics see my ‘Conceptual Orders in Waismann and Cassirer’,Journal of the Indian Academy of Philosophy, Volume VIII, no. 2.

  8. SFER, p. 93.

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  11. Kant: ‘On the first ground of the distinction of regions in space’ English trs. by John Handyside inKant's Inagural Dissertation and Early Writings on Space, Chicago, 1929.

  12. DIMP, p. 163.

  13. ibid. p. 163.

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  15. DIMP, p. 164.

  16. Kant:Critique of Pure Reason.

  17. Northrop, F. S. C.: ‘Natural Science and the Critical Philosophy of Kant’ in theHeritage of Kant, edt. G. T. Whitney and D. F. Bowers, Princeton, 1939, p. 62.

  18. DIMP, p. 115.

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  20. DIMP, preface-last sentance.

  21. Born, Max:Natural Philosophy of Cause and Chance, Oxford, 1949, p. 208.

  22. See Hanson, N. R.:The Concept of Positron, Cambridge, ch. I.

  23. For further illustrations see A. d'Abro;The Rise of the New Physics, Dover, 1951, ch. XLI p. 951.

  24. Bunge, M.: ‘Strife about complementarity’,The Bri. Jn. for the Phil. Sc., vol. VI, no. 21, p. 4.

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  26. Hanson: op cit. ch. I.

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  29. Feyerabend: op. cit. p. 192.

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  32. Heisenberg, Werner:Physics and Philosophy, Harper, ch.VIII also hisThe Physicist's conception of Nature, London 1958, p. 40.

  33. ibid. p. 128.

  34. ibid. p. 139.

  35. Cf. Bohm's reply to Heisenberg'sPhysics and Philosophy; ‘Classical and non-classical concepts in the quantum theory’The Bri. Jn. for the Phil. Sci. vol. XII no. 48, p. 275.

  36. For a detailed discussion on complementarity and determinism see Rosenfeld, L.: ‘Strife about Complementarity’ inScience Progress vol. XLI, July 1953 no. 163, p. 393.

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  38. SFER, p. 376–77.

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Sundaram, K. Kant or Cassirer: A study in complementarity. Zeitschrift für Allgemeine Wissenschaftstheorie 3, 40–48 (1972). https://doi.org/10.1007/BF01800818

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