The Fuzzy Syllogistic System
Lecture notes in computer sciencePublished 1 January 2010Open access
Bora İ. Kumova, Hüseyin Çakır
Citations12
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TL;DR
It is discovered that the symmetric structure of syllogistic figure formation is inherited to the moods and their truth values, making the syllogists system an inherently symmetric reasoning mechanism, consisting of 25 true, 100 unlikely, 6 uncertain, 100 likely and 25 false moods.
Abstract
9th Mexican International Conference on Artificial Intelligence, MICAI 2010; Pachuca; Mexico; 8 November 2010 through 13 November 2010
Keywords
Computer Science
Choice Reviews OnlineArtificial intelligence: a modern approach
22,205 Citations1995Stuart Russell, Peter Norvig +2 more
SyntheseFuzzy logic and approximate reasoning
1,598 Citations1975Lotfi A. Zadeh
F fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very false, etc.
CognitionSyllogistic inference
332 Citations1984P. N. Johnson‐Laird, Bruno G. Bara
The results of two experiments are presented, one using syllogisms and the other using three-term series problems, designed to elucidate how the arrangement of terms within the premises (the figure’ of the premises) affects performance.
Cognitive PsychologyThe Probability Heuristics Model of Syllogistic Reasoning
324 Citations1999Nick Chater, Mike Oaksford
PHM suggests that syllogistic reasoning performance may be determined by simple but rational informational strategies justified by probability theory rather than by logic.
Local and Fuzzy Logics
287 Citations1977Richard Bellman, Lotfi A. Zadeh
Fuzzy logic differs from conventional logical systems in that it aims at providing a model for approximate rather than precise reasoning.
Cognitive PsychologyThe psychology of syllogisms
279 Citations1978P. N. Johnson‐Laird, Mark Steedman
Two experiments were carried out in which subjects had to draw conclusions from syllogistic premises, and the nature of their responses showed that the figure of the syllogisms exerted a strong effect on the accuracy of performance and on thenature of the conclusions that were drawn.
Trends in Cognitive SciencesThe probabilistic approach to human reasoning
268 Citations2001Mike Oaksford, Nick Chater
The probabilistic approach to logical reasoning is contrasted with other approaches to explaining rationality, and it is shown how it has been applied to three main areas of logical reasoning: conditional inference, Wason's selection task and syllogistic reasoning.
CognitionReasoning with quantifiers
107 Citations2003Bart Geurts
This paper aims to show how the understanding of syllogistic reasoning may benefit from semantical research on quantification, and presents a very simple logic that pivots on the monotonicity properties of quantified statements.
Bulletin of the Psychonomic SocietyConversion and possibility in syllogistic reasoning
25 Citations1981Louis S. Dickstein
Lecture notes in computer scienceAlgorithmic Decision of Syllogisms
14 Citations2010Bora İ. Kumova, Hüseyin Çakır
To be able to calculate any syllogistic property exactly, by using a single algorithm, could indeed facilitate modelling possibly any sort of consistent, inconsistent or approximate human reasoning.
Lecture notes in computer scienceThe Fuzzy Syllogistic System
12 Citations2010Bora İ. Kumova, Hüseyin Çakır
It is discovered that the symmetric structure of syllogistic figure formation is inherited to the moods and their truth values, making the syllogists system an inherently symmetric reasoning mechanism, consisting of 25 true, 100 unlikely, 6 uncertain, 100 likely and 25 false moods.
Lecture notes in computer scienceContextual Logic and Aristotle’s Syllogistic
7 Citations2005Rudolf Wille
This paper is concerned with incorporating negational relationships into the semantics of Contextual Logic by mathematizing Aristotle's Syllogistic in contextual-logic terms and using this approach to determine implication bases for elementary judgments within syllogistic contexts.