Three Problems of Direct Inference

Direct inference consists in inference from a premise describing the incidence of a property among a given population to a conclusion about the likelihood of a particular element of the population having the property in question. For example, from the premise that 2% of American males are doctors one may, in appropriate circumstances, draw the conclusion that the probability is 0.02 that Joe, a particular American male, is a doctor. Despite the apparent centrality of direct inference to human belief formation, the manner in which direct inference is to be justified is not well understood. Similarly, no one has succeeded (or even claimed to succeed) in articulating adequate criteria that specify the conditions under which respective instances of direct inference are correct. My dissertation addresses the three most well know problems of direct inference.

[1]  C. Howson The Development of Logical Probability , 1976 .

[2]  David Stove,et al.  The Rationality of Induction , 1986 .

[3]  Joseph Y. Halpern,et al.  From Statistical Knowledge Bases to Degrees of Belief , 1996, Artif. Intell..

[4]  N. Goodman Fact, Fiction, and Forecast , 1955 .

[5]  Jeff B. Paris,et al.  A method for updating that justifies minimum cross entropy , 1992, Int. J. Approx. Reason..

[6]  H. Kyburg,et al.  Nomic probability and the foundations of induction , 1990 .

[7]  J. Pollock Contemporary theories of knowledge , 1986 .

[8]  Fahiem Bacchus,et al.  Representing and reasoning with probabilistic knowledge , 1988 .

[9]  John L. Pollock,et al.  A theory of direct inference , 1983 .

[10]  Van Fraassen,et al.  Laws and symmetry , 1989 .

[11]  L. J. Savage,et al.  The Foundations of Statistics , 1955 .

[12]  W. Salmon The foundations of scientific inference , 1967 .

[13]  J. Pollock Cognitive Carpentry: A Blueprint for How to Build a Person , 1995 .

[14]  Ian Hacking,et al.  The Emergence of Probability. A Philosophical Study of Early Ideas about Probability, Induction and Statistical Inference , 1979 .

[15]  T. V. Reeves A Theory of Probability , 1988, The British Journal for the Philosophy of Science.

[16]  Raymond Reiter,et al.  A Logic for Default Reasoning , 1987, Artif. Intell..

[17]  Rudolf Carnap,et al.  The continuum of inductive methods , 1952 .

[18]  B. Skyrms Choice and chance : an introduction to inductive logic , 1968 .

[19]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[20]  Kyburg, Levi, and Petersen , 1987, Philosophy of Science.

[21]  Henry Ely Kyburg,et al.  The logical foundations of statistical inference , 1974 .

[22]  Joseph Y. Halpern,et al.  Representation Dependence in Probabilistic Inference , 1995, IJCAI.

[23]  Jon Williamson,et al.  Bayesianism and Language Change , 2002, J. Log. Lang. Inf..

[24]  John Venn,et al.  The Logic Of Chance , 1888 .

[25]  E. Jaynes The well-posed problem , 1973 .

[26]  Jeff B. Paris,et al.  In defense of the maximum entropy inference process , 1997, Int. J. Approx. Reason..

[27]  Jeff B. Paris,et al.  A note on the inevitability of maximum entropy , 1990, Int. J. Approx. Reason..

[28]  Timothy J. McGrew Direct Inference and the Problem of Induction , 2001 .

[29]  J. Keynes A Treatise on Probability. , 1923 .

[30]  David S. Touretzky,et al.  A Clash of Intuitions: The Current State of Nonmonotonic Multiple Inheritance Systems , 1987, IJCAI.

[31]  C. Churchman,et al.  The Ground of Induction. , 1947 .

[32]  R. Jeffrey Goodman's Query , 1966 .