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The author wishes to thank Professor A. J. Stam for his stimulating suggestions during the research and Professor E. M. Barth, Doctor J. F. A. K. van Benthem and Professor J. J. A. Mooij for their comments on the first draft.
At the end of the research for this article the author received from Professor Ilkka Niiniluoto his first draft of a paper entitled ‘On a K-dimensional system of inductive logic’ (i.e. on the system of P-systems in the present article). Some passages in that paper are closely, though only implicitly, related to the equivalence theorem, which is the central core of the present paper. The paper of Professor Niiniluoto will appear in the Proceedings of the 1976-PSA-meeting, Vol. 2.
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Kuipers, T.A.F. On the generalization of the continuum of inductive methods to universal hypotheses. Synthese 37, 255–284 (1978). https://doi.org/10.1007/BF00873242
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DOI: https://doi.org/10.1007/BF00873242