Expanding the universe of categorical syllogisms: a challenge for reasoning researchers |
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Authors: | Roberts Maxwell J |
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Institution: | (1) Department of Psychology, University of Essex, Wivenhoe Park, CO4 3SQ Colchester, Essex, England |
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Abstract: | Syllogistic reasoning, in which people identify conclusions from quantified premise pairs, remains a benchmark task whose
patterns of data must be accounted for by general theories of deductive reasoning. However, psychologists have confined themselves
to administering only the 64 premise pairs historically identified by Aristotle. By utilizing all combinations of negations,
the present article identifies an expanded set of 576 premise pairs and gives the valid conclusions that they support. Many
of these have interesting properties, and the identification of predictions and their verification will be an important next
step for all proponents of such theories. |
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