On the insufficiency of linear diagrams for syllogisms

Notre Dame Journal of Formal Logic

Volumn 39, Issue 4, 1998, Pages 573-580

  Lemon, Oliver ^a   Pratt, Ian ^b  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005100810     PISSN: 00294527     EISSN: 19390726     Source Type: Journal    
DOI: 10.1305/ndjfl/1039118871     Document Type: Article

References (21)

1. Allwein, G., and J. Barwise, eds., Logical Reasoning with Diagrams, Oxford University Press, Oxford, 1996.
2. Barwise, J., and A. Shimojima, “Surrogate reasoning,” Cognitive Studies: Bulletin of Japanese Cognitive Science Society, vol. 4 (1995), pp. 7–27.
3. Bollobás, B., Graph Theory: An Introductory Course, Springer, New York, 1979.
4. Cummins, R., Representations, Targets, and Attitudes, The MIT Press, Cambridge, 1996.
5. Englebretsen, G., “Linear diagrams for syllogisms (with relationals),” Notre Dame Journal of Formal Logic, vol. 33 (1992), pp. 37–69.
6. Englebretsen, G., Something to Reckon With, University of Ottawa Press, Ottawa, 1996.
7. Gardner, M., Logic Machines and Diagrams, Harvester Press, Sussex, 1958.
8. Glasgow, J., N. H. Narayanan, and B. Chandrasekaran, eds., Diagrammatic Reasoning: Cognitive and Computational Perspectives, AAAI Press/The MIT Press, Cambridge, 1995.
9. Hammer, E. M., “Reasoning with sentences and diagrams,” Notre Dame Journal of Formal Logic, vol. 35 (1994) pp. 73–87.
10. Hammer, E. M., Logic and Visual Information, Studies in Logic, Language, and Computation, CSLI Publications and FoLLI, Stanford, 1995.
11. Lemon, O., review of Logic and Visual Information by E. M. Hammer (CSLI Publications), Journal of Logic, Language, and Information, vol. 6 (1997), pp. 213–16.
12. Lemon, O., “Comparing the efficacy of lenses, lines, and logics,” Logic, Language, and Diagrams, edited by Barker-Plummer, Beaver, di Luzio, and van Benthem, CSLI Publications, Stanford, 2000 (in press).
13. Lemon, O., M. de Rijke, and A. Shimojima, “Efficacy of diagrammatic reasoning,” Journal of Logic, Language, and Information, vol. 8 (1999), pp. 265–71.
14. Lemon, O., and I. Pratt, “Logical and diagrammatic reasoning: the complexity of conceptual space,” pp. 430–35 in 19th Annual Conference of the Cognitive Science Society, edited by M. Shafto and P. Langley, Lawrence Erlbaum Associates, New Jersey, 1997.
15. Lemon, O., and I. Pratt, “Spatial logic and the complexity of diagrammatic reasoning,” Machine Graphics and Vision, Special Issue on Diagrammatic Representation and Reasoning, vol. 6 (1997), pp. 89–108.
16. Shimojima, A., “Reasoning with diagrams and geometrical constraints,” Logic, Language and Computation, Lecture Notes, CSLI, vol. 1 (1996), pp. 527–40.
17. Shin, S., The Logical Status of Diagrams, Cambridge University Press, Cambridge, 1995.
18. Shin, S., and O. Lemon, “Diagrams,” Stanford Encyclopedia of Philosophy, forthcoming.
19. Stenning, K., and O. Lemon, “Aligning logical and psychological perspectives on diagrammatic reasoning,” Artificial Intelligence Review, forthcoming.
20. Stenning, K., and J. Oberlander, “A cognitive theory of graphical and linguistic reasoning: logic and implementation,” Cognitive Science, vol. 19 (1995), pp. 97–140.
21. Swoyer, C., “Structural representation and surrogative reasoning,” Synthese, vol. 87 (1991), pp. 449–508.