Classical Syllogisms in Logic Teaching

  • Conference paper
Conceptual Structures for STEM Research and Education (ICCS 2013)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7735))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Parry, W.T., Hacker, E.A.: Aristotelian Logic. State University of New York Press (1991)

    Google Scholar 

  2. Sandborg-Petersen, U., Schärfe, H., Øhrstrøm, P.: Online Course in Knowledge Representation using Conceptual Graphs. Aalborg University (2005), http://cg.huminf.aau.dk

  3. Aristotle: Prior Analytics. Translated by A.J. Jenkinson. The Internet Classics Archive (1994-2000), http://classics.mit.edu/Aristotle/prior.html

  4. 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)

    Google Scholar 

  5. 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)

    Chapter  Google Scholar 

  6. 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)

    Chapter  Google Scholar 

  7. 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)

    Google Scholar 

  8. Leighton, J.P.: Teaching and assessing deductive reasoning skills. Journal of Experimental Education, Volume 74(2), 109–136 (2006)

    Google Scholar 

  9. 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)

    Article  Google Scholar 

  10. 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)

    Google Scholar 

  11. Grossen, B.: The Fundamental Skills of Higher-Order Thinking. Journal of Learning Disabilities 24(6), 343–353 (1991)

    Article  Google Scholar 

  12. 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)

    Article  Google Scholar 

  13. Bucciarelli, M., Johnson-Laird, P.N.: Strategies in syllogistic reasoning. Cognitive Science 23(3), 247–303 (1999)

    Article  Google Scholar 

  14. 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)

    Article  Google Scholar 

  15. Johnson-Laird, P.N., Bara, B.G.: Syllogistic inference. Cognition 16, 1–61 (1984)

    Article  Google Scholar 

  16. 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)

    Google Scholar 

  17. 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)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35786-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35785-5

  • Online ISBN: 978-3-642-35786-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Navigation