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Stanford Encyclopedia of Philosophy, 2013 Logic and probability theory are two of the main tools in the formal study of reasoning, and have been fruitfully applied in areas as diverse as philosophy, artificial intelligence, cognitive science and mathematics. This entry discusses the major proposals to combine logic and probability theory, and attempts to provide a classification of the various
Demey, L., Kooi, B., Sack, J.
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Self-Organized Complexity and Coherent Infomax from the Viewpoint of Jaynes’s Probability Theory [PDF]
Information, 2012 This paper discusses concepts of self-organized complexity and the theory of Coherent Infomax in the light of Jaynes’s probability theory. Coherent Infomax, shows, in principle, how adaptively self-organized complexity can be preserved and improved by ...
William A. Phillips
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Probability Logic and Logical Probability [PDF]
, 2007 Authors like Keynes, H. Jeffreys and Carnap advocated using a concept of "logical probability". Logical probability had the following properties: (a) it was representable as a function from potential states of full belief (or "evidence") to states of subjective or credal probability judgment.
Levi, Isaac
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Frequentist Probability Logic [PDF]
AbstractIn this paper, we present a logic $$\textbf{FPL}$$ FPL (Frequentist Probability Logic) to reason about probabilities with a relative frequency interpretation. We show that it is possible to interpret the language of $$\textbf{FPL}$$ FPL with the standard semantics for ...
Aldini, Alessandro +2 more
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Against All Odds: When Logic Meets Probability [PDF]
, 2017 This paper is a light walk along interfaces between logic and probability, triggered by a chance encounter with Ed Brinksma. It is not a research paper, or a literature survey, but a pointer to issues.
van Benthem, J. +3 more
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INTRODUCTION TO NEUTROSOPHIC MEASURE, NEUTROSOPHIC INTEGRAL, AND NEUTROSOPHIC PROBABILITY [PDF]
, 2011 Neutrosophic Science means development and applications of neutrosophic logic/set/measure/integral/probability etc.
Smarandache, Florentin
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Probability Disassembled [PDF]
, 2006 While there is no universal logic of induction, the probability calculus succeeds as a logic of induction in many contexts through its use of several notions concerning inductive inference. They include Addition, through which low probabilities represent
Norton, JD, Norton, John D.
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The Topology-Free Construction of the Universal Type Structure for Conditional Probability Systems [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We construct the universal type structure for conditional probability systems without any topological assumption, namely a type structure that is terminal, belief-complete, and non-redundant.
Pierfrancesco Guarino
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Logics of imprecise comparative probability [PDF]
International Journal of Approximate Reasoning, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yifeng Ding +2 more
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A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS [PDF]
, 1995 In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a branch of mathematical logic, which rigorously defines the ...
SMARANDACHE, F.
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