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Analogical Mapping by Constraint Satisfaction
 COGNITIVE SCIENCE 13, 295 (1989)
, 1989
"... A theory of analogical mopping between source and target analogs based upon interacting structural, semantic, and pragmatic constraints is proposed here. The structural constraint of fsomorphfsm encourages mappings that maximize the consistency of relational corresondences between the elements of th ..."
Abstract

Cited by 276 (19 self)
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A theory of analogical mopping between source and target analogs based upon interacting structural, semantic, and pragmatic constraints is proposed here. The structural constraint of fsomorphfsm encourages mappings that maximize the consistency of relational corresondences between the elements of the two analogs. The constraint of semantic similarity supports mapping hypotheses to the degree that mapped predicates have similar meanings. The constraint of pragmatic centrality fovors mappings involving elements the analogist believes to be important in order to achieve the purpose for which the anology Is being used. The theory is implemented in a computer progrom called ACME (Analogical Constraint Mapping Engine), which represents constraints by means of a network of supporting and competing hypotheses regarding what elements to map. A coop erative algorithm for parallel constraint satisfaction identifies mapping hypotheses that collectively represent the overall mapping that best fits the interactlng constraints. ACME has been applied to a wide range of examples that include problem analogies, analogical arguments, explanatory analogies, story analogies, formal analogies, and metaphors. ACME is sensitive to semantic and prag matic information if it is available,.and yet able to compute mappings between formally isomorphic analogs without any similar or identical elements. The theory Is able to account for empirical findings regarding the impact of consistenty and similarity on human processing of analogies.
A new look at Newton’s inequalities
 2000), Article 17. [ONLINE: http://jipam. vu.edu.au/v1n2/014_99.html
"... Communicated by A. Lupa¸s ABSTRACT. New families of inequalities involving the elementary symmetric functions are built as a consequence that all zeros of certain real polynomials are real numbers. ..."
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Cited by 22 (1 self)
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Communicated by A. Lupa¸s ABSTRACT. New families of inequalities involving the elementary symmetric functions are built as a consequence that all zeros of certain real polynomials are real numbers.
Relative frequency and probability in the Everett interpretation of Heisenbergpicture quantum mechanics
, 2003
"... The existence of probability in the sense of the frequency interpretation, i.e. probability as “long term relative frequency, ” is shown to follow from the dynamics and the interpretational rules of Everett quantum mechanics in the Heisenberg picture. This proof is free of the difficulties encounter ..."
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Cited by 7 (4 self)
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The existence of probability in the sense of the frequency interpretation, i.e. probability as “long term relative frequency, ” is shown to follow from the dynamics and the interpretational rules of Everett quantum mechanics in the Heisenberg picture. This proof is free of the difficulties encountered in applying to the Everett interpretation previous results regarding relative frequency and probability in quantum mechanics. The ontology of the Everett interpretation in the Heisenberg picture is also discussed.
ARISTOTELIAN REALISM
"... Aristotelian, or nonPlatonist, realism holds that mathematics is a science of the real world, just as much as biology or sociology are. Where biology studies living things and sociology studies human social relations, mathematics studies the quantitative or structural aspects of things, such as rat ..."
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Aristotelian, or nonPlatonist, realism holds that mathematics is a science of the real world, just as much as biology or sociology are. Where biology studies living things and sociology studies human social relations, mathematics studies the quantitative or structural aspects of things, such as ratios, or patterns, or complexity,
MRC Applied Psychology Unit
"... ABSTRACT It seems plausible that the conception of the mind has evolved over the first hundred years ofpsychology in America. In this research, we studied this evolution by tracing changes in the kinds of metaphors used by psychologists to describe mental phenomena. A corpus of metaphors from 1894 t ..."
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ABSTRACT It seems plausible that the conception of the mind has evolved over the first hundred years ofpsychology in America. In this research, we studied this evolution by tracing changes in the kinds of metaphors used by psychologists to describe mental phenomena. A corpus of metaphors from 1894 to the present was collected and examined. The corpus consisted of all metaphors for mental phenomena used in the first issue of Psychological Review in each decade, beginning with the inception of the journal in 1894 and continuing with 1905, 1915, and so on through 1975. These nine issues yielded 265 mental metaphors, which were categorized according to the type of analogical domain from which the comparison was drawn.