Truthlikeness for hypotheses expressed in terms of N quantitative variables

Journal of Philosophical Logic 25 (2):109 - 134 (1996)
A qualitative theory of truthlikeness, based on a family of quantitative measures, is developed for hypotheses that are concerned with the values of a finite number of real-valued quantities. Representing hypotheses by subsets of $R^{n}$ , I first show that a straightforward application of the basic ideas of the similarity approach to truthlikeness does not work out for hypotheses with zero n-dimensional Lebesgue measure. However, it is easy to give a counterpart for the average measure preferred by Pavel Tichý and Graham Oddie in terms of Hausdorff measures. The task of finding analogies of the min-sum-measure preferred by Ilkka Niiniluoto is more interesting. I present and discuss analogies of two different types for this measure
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DOI 10.1007/BF00247000
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Ilkka Niiniluoto (1998). Verisimilitude: The Third Period. British Journal for the Philosophy of Science 49 (1):1-29.
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Ilkka Niiniluoto (1982). Truthlikeness for Quantitative Statements. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1982:208 - 216.

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