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Cheng, Peter C H (2012)
Languages: English
Types: Unknown
Subjects: QZ, QA75
A new diagrammatic notation for Syllogisms is presented: Category Pattern Diagrams, CPDs. A CPD configures different styles of line segments to simultaneously assign quantification values to categorical variables and relations among them. The design of CPDs attempts to coherently visualize the structure of syllogisms at various conceptual levels. In comparison to Venn Diagrams and conventional verbal expressions of syllogisms, the potential benefits of CPD may include: a relatively straightforward inference method; simple rules for evaluating validity; applicability to multiple (>2) premise syllogisms.
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    • 1. Cheng, P.C.-H.: Truth diagrams: An overview. In: B. Plimmer & P. Cox (Eds.), Proceedings of the 7th International Conference on the Theory and Application of Diagrams: Springer (2012, in press)
    • 2. Cheng, P.C.-H.: Truth diagrams: A notation for propositional logic (in preparation)
    • 3. Cheng, P.C-H.: Electrifying diagrams for learning: principles for effective representational systems. Cognitive Science, 26(6), 685-736 (2002)
    • 4. Cheng, P.C-H.: Probably good diagrams for learning: Representational epistemic recodification of probability theory Topics in Cognitive Science 3(3), 475-498 (2011)
    • 5. Cheng, P.C.-H.: Algebra Diagrams: A HANDi Introduction. In: B. Plimmer & P. Cox (Eds.), Proceedings of the 7th International Conference on the Theory and Application of Diagrams: Springer (2012, in press)
    • 6. Cheng, P.C-H., & Barone, R.: Representing complex problems: A representational epistemic approach. In: D. H. Jonassen (Ed.), Learning to solve complex scientific problems. (pp. 97-130). Mahmah, N.J.: Lawrence Erlbaum Associates.
    • 7. Copi, I.M., Cohen, C.: Introduction to Logic. Upper Saddle River, NJ: Prentice-Hall (1998)
    • 8. Edwards, A.W.F.: Cogwheels of the mind: the story of Venn Diagrams. Baltimore, MD: John Hopkins University Press (2004)
    • 9. Lemmon, E.J.: Beginning Logic. Wokingham, UK: Van Nostrand Reinhold (1965)
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