Non-additive probabilities in the work of Bernoulli and Lambert

DOI10.1007/BF00330065zbMath0392.01010OpenAlexW2404322046MaRDI QIDQ1251643

Glenn R. Shafer

Publication date: 1978

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00330065

zbMATH Keywords

epistemic probabilityaleatory probabilitynonadditive probabilities

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 17th century (01A45) History of probability theory (60-03)

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Cites Work

• Boole's logic and probability. A critical exposition from the standpoint of contemporary algebra, logic and probability theory
• Some remarks on the prehistory of the concept of statistical probability
• Der Mathematiker Abraham de Moivre (1667--1754)
• J. H. Lambert's work on probability
• LII. An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F. R. S. communicated by Mr. Price, in a letter to John Canton, A. M. F. R. S
• Upper and Lower Probabilities Induced by a Multivalued Mapping
• New Methods for Reasoning Towards Posterior Distributions Based on Sample Data
• Upper and Lower Probability Inferences for Families of Hypotheses with Monotone Density Ratios
• Upper and Lower Probabilities Generated by a Random Closed Interval
• The bases of probability
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