Abstract
This paper focuses on the challenges of introducing classical syllogisms in university courses in elementary logic and human reasoning. Using a program written in Prolog+CG, some empirical studies have been carried out involving three groups of students in Denmark; one group of philosophy students and two groups of students of informatics. The skills of the students in syllogistic reasoning before and after the logic courses have been studied and are discussed. The empirical observations made with the program make it possible to identify syllogisms which are found difficult by the students, and to identify others which the students find easier to handle. It is discussed why certain syllogisms are more difficult than others to assess correctly with respect to validity. The results are compared with findings from earlier studies in the literature. As in other studies, it is shown that the test persons have a tendency correctly to assess valid syllogisms as such more often than correctly assessing invalid syllogisms as such. It is also investigated to what extent the students have improved their skills in practical reasoning by attending the logic courses. Finally, some open questions regarding syllogistic reasoning are discussed.
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References
Parry, W.T., Hacker, E.A.: Aristotelian Logic. State University of New York Press (1991)
Sandborg-Petersen, U., Schärfe, H., Øhrstrøm, P.: Online Course in Knowledge Representation using Conceptual Graphs. Aalborg University (2005), http://cg.huminf.aau.dk
Aristotle: Prior Analytics. Translated by A.J. Jenkinson. The Internet Classics Archive (1994-2000), http://classics.mit.edu/Aristotle/prior.html
Panayiotou, C., Bennett, B.: Cognitive context and syllogisms from ontologies for handling discrepancies in learning resources. In: Bouquet, P., et al. (eds.) Workshop on Contexts and Ontologies, The 18th European Conference on Artificial Intelligence, Patras, Greece, pp. 21–25 (2008)
Kabbaj, A., Janta-Polczynski, M.: From PROLOG++ to PROLOG+CG: A CG Object-Oriented Logic Programming Language. In: Ganter, B., Mineau, G.W. (eds.) ICCS 2000. LNCS (LNAI), vol. 1867, pp. 540–554. Springer, Heidelberg (2000)
Kabbaj, A., Moulin, B., Gancet, J., Nadeau, D., Rouleau, O.: Uses, Improvements, and Extensions of Prolog+CG: Case Studies. In: Delugach, H., Stumme, G. (eds.) ICCS 2001. LNCS (LNAI), vol. 2120, pp. 346–359. Springer, Heidelberg (2001)
Petersen, U.: Prolog+CG: A Maintainer’s Perspective. In: de Moor, A., Polovina, S., Delugach, H. (eds.) Proceedings of First Conceptual Structures Interoperability Workshop (CS-TIW 2006). Aalborg University Press (2006)
Leighton, J.P.: Teaching and assessing deductive reasoning skills. Journal of Experimental Education, Volume 74(2), 109–136 (2006)
Turner, P., Jamie, A., Thompson, V.A.: The role of training, alternative models, and logical necessity in determining confidence in syllogistic reasoning. Thinking & Reasoning 15(1), 69–100 (2009)
Monaghan, P., Stenning, K.: Effects of representational modality and thinking style on learning to solve reasoning problems. In: Gernsbacher, M.A., Derry, S.J. (eds.) Proceedings of the Annual Conference of the Cognitive Science Society, pp. 716–721 (1998)
Grossen, B.: The Fundamental Skills of Higher-Order Thinking. Journal of Learning Disabilities 24(6), 343–353 (1991)
Hoffman, B., McCrudden, M.T., Schraw, G., Hartley, K.: The Effects of Informational Complexity and Working Memory on Problem-Solving Efficiency. Asia Pacific Education Review 9(4), 464–474 (2008)
Bucciarelli, M., Johnson-Laird, P.N.: Strategies in syllogistic reasoning. Cognitive Science 23(3), 247–303 (1999)
Gilhooly, K.J., Logie, R.H., Wynn, V.: Syllogistic reasoning tasks, working memory, and skill. European Journal of Cognitive Psychology 11(4), 473–498 (1999)
Johnson-Laird, P.N., Bara, B.G.: Syllogistic inference. Cognition 16, 1–61 (1984)
Quayle, J.D., Ball, L.J.: Working memory, metacognitive uncertainty, and belief bias in syllogistic reasoning. Quarterly Journal of Experimental Psychology Section A – Human Experimental Psychology 53(4), 1202–1223 (2000)
Øhrstrøm, P., Sandborg-Petersen, U., Ploug, T.: Syllog – A Tool for Logic Teaching. In: Proceedings of Artificial Intelligence Workshops 2010 (AIW 2010), Mimos Berhad, pp. 42–55 (2010)
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Øhrstrøm, P., Sandborg-Petersen, U., Thorvaldsen, S., Ploug, T. (2013). Classical Syllogisms in Logic Teaching. In: Pfeiffer, H.D., Ignatov, D.I., Poelmans, J., Gadiraju, N. (eds) Conceptual Structures for STEM Research and Education. ICCS 2013. Lecture Notes in Computer Science(), vol 7735. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35786-2_4
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DOI: https://doi.org/10.1007/978-3-642-35786-2_4
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