Lakatos's criticism of Carnapian inductive logic was mistaken
Logic: inductive force Inductive force • ‘All’, ‘most’ and ‘some’ • Soft generalisations • Inductive soundness • Probability in the premises • Arguments with multiple probabilistic premises • Inductive force in extended arguments • Conditional probability in the conclusion • Evidence • Inductive inferences • A programme for assessment
Rudolf Carnap and Richard C. Jeffrey (eds.) Studies in inductive logic and probability. Vol. 1. Berkeley and Los Angeles: The University of California Press, 1971. np.
Abner Shimony. Coherence and the axioms of confirmation. The journal of symbolic logic, vol. 20 (1955), pp. 1–28. - R. Sherman Lehman. On confirmation and rational betting. The journal of symbolic logic, vol. 20 (1955), pp. 251–262. - John G. Kemeny. Fair bets and inductive probabilities. The journal of symbolic logic, vol. 20 (1955), pp. 263–273.