Abstract
As we have seen, in retort to the other argument of the Humean skeptic, that we have to know for certain that empirical statements must be true in order to validate them, Lewis holds that it is the validity of empirical knowledge as probable judgemnts only which requires to be assured. Since an empirical generalization is subject to tests and revision in the light of further empirical findings, we should hold it not with certainty but with mere probability. Now the question is whether this probability warrants our belief in empirical generalizations or laws. By rejecting our empirical knowledge as invalid because they are not necessarily true, the skeptic may be suggesting, as many other philosophers usually do, that some principle like the principle of the uniformity of nature is requisite for the purpose of validating empirical knowledge. Lewis’s answer to this is that no such principle is requisite for that purpose. He argues that no rational proof can establish that empirical knowledge must correspond to objective facts or that predictions must be infallible.
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References
C. I. Lewis, Mind and the World-Order, 325.
Ibid., 331-332.
An analysis of Knowledge and Valuation, 273.
Ibid., 274. (Italics mine).
Cf., Ibid., 275, 276.
Cf., Ibid., 276-277.
Ibid., 289.
Ibid., 266.
Here I have adopted a liberal interpretation of this well-known principle of indifference, and interpret equal probability in terms of equal acceptability of alternatives which indicates that if we are required to bet on equal alternatives, we shall be willing to bet on one alternative as well as on another.
For a brief statement of the classical view of probability, see Ernest Nagel, Principles of the Theory of Probability, Vol. I, No. 6, of International Encyclopedia of Unified Science, 1957, 44-48.
In this case, we have the famous Laplacian rule of succession, which states that given an event which has taken place m times in n observations, the probability that in next observation the event will take place is m + 1/n + 2.
An Analysis of Knowledge and Valuation, 291.
Ibid., 289.
Ibid., 290.
Ibid., 292.
Ibid., 296.
Ibid., 305; Cf. also 296.
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© 1969 Martinus Nijhoff, The Hague, Netherlands
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Cheng, CY. (1969). Nature of Probability and Rational Credibility. In: Peirce’s and Lewis’s Theories of Induction. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-9367-2_14
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