Learning Syllogistic by Training Computers
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2020-10-15
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J.-Martín Castro-Manzano
Facultad de Filosofía, UPAEP Universidad
S.-Jazmín Amezquita-Paisano
Facultad de Filosofía, UPAEP Universidad
María Fraile-Galaz
Facultad de Filosofía, UPAEP Universidad
Abstract
Inspired by the mechanisms and results of the learning by teaching method (LdL, German abreviation for Lernen durch Lehren), in this paper we advance a didactic model to learn logic by teaching logic. In particular, we propose a model to learn syllogistic by training an artificial neural network. At the end we show a qualitative report of two teaching experiences using
the proposed model.
Keywords:
LdL didactic model, learning by teaching, automatic learning, artificial neural network, syllogistic
References
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https://doi.org/10.1002/acp.3410
Martin, J. y Kelchner, R. (1998). Lernen durch lehren. http://www.lernendurch-lehren.de/Material/Publikationen/timm.pdf
McCulloch, W. y Pitts, W. (1943). A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophysics, 5, 115-133. https://doi.org/10.1007/BF02478259
Minsky M. L. y Papert S. A. (1969). Perceptrons. MIT Press.
Moss, L. (2015). Natural Logic. En S. Lappin & C. Fox (Eds.), The handbook of contemporary semantic theory. John Wiley & Sons.
Roscoe, R. D. y Chi, M. T. H. (2008). Tutor learning: the role of explaining and responding to questions. Instructional Science, 36(4), 321-350.
Rosenblatt, F. (1957). The Perceptron -a perceiving and recognizing automaton (Report 85-460-1). Cornell Aeronautical Laboratory.
Rumelhart, D. E., Hinton, G. E. y Williams, R. J. (1986). Learning representations by back-propagating errors. Nature, 323(6088), 533-536.
Russell, S. y Norvig, P. (1995). Artificial Intelligence. A modern approach. Nueva Jersey: Prentice Hall.
Safiye, A. (2015). Is learning by teaching effective in gaining 21st century skills? The views of pre-service science teachers. Educational Sciences: Theory &
Practice, 15(6), 1441-1457. https://doi.org/10.12738/estp.2016.1.0019
Sommers, F. (1984). The logic of natural language. Oxford University Press.
Brooks, R. A. (1999). Cambrian intelligence: the early history of the new AI.MIT Press.
Campirán, A. (2005). Autobservación y metacognición. Ergo. Colección Temas Selectos, (1), 91-106.
Cohen, P. A., Kulik, J. A. y Kulik, C. C. (1982). Educational outcomes of tutoring: A meta‐analysis of findings. American Educational Research Journal, 19(2), 237-248. https://doi.org/10.3102/00028312019002237
Gallier, J. H. (2015). Logic for computer science: foundations of automatic theorem proving (2.a ed.). Courier Dover.
Haugeland, J. (1989). Artificial intelligence: the very idea. MIT Press.
Huth, M. y Ryan, M. (2004). Logic in computer science: modelling and reasoning about systems. Cambridge University Press.
Koh, A. W. L, Lee, S.C. y Lim, S. W. H (2018). The learning benefits of teaching: A retrieval practice hypothesis. Applied Cognitive Psychology 32, 401– 410.
https://doi.org/10.1002/acp.3410
Martin, J. y Kelchner, R. (1998). Lernen durch lehren. http://www.lernendurch-lehren.de/Material/Publikationen/timm.pdf
McCulloch, W. y Pitts, W. (1943). A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophysics, 5, 115-133. https://doi.org/10.1007/BF02478259
Minsky M. L. y Papert S. A. (1969). Perceptrons. MIT Press.
Moss, L. (2015). Natural Logic. En S. Lappin & C. Fox (Eds.), The handbook of contemporary semantic theory. John Wiley & Sons.
Roscoe, R. D. y Chi, M. T. H. (2008). Tutor learning: the role of explaining and responding to questions. Instructional Science, 36(4), 321-350.
Rosenblatt, F. (1957). The Perceptron -a perceiving and recognizing automaton (Report 85-460-1). Cornell Aeronautical Laboratory.
Rumelhart, D. E., Hinton, G. E. y Williams, R. J. (1986). Learning representations by back-propagating errors. Nature, 323(6088), 533-536.
Russell, S. y Norvig, P. (1995). Artificial Intelligence. A modern approach. Nueva Jersey: Prentice Hall.
Safiye, A. (2015). Is learning by teaching effective in gaining 21st century skills? The views of pre-service science teachers. Educational Sciences: Theory &
Practice, 15(6), 1441-1457. https://doi.org/10.12738/estp.2016.1.0019
Sommers, F. (1984). The logic of natural language. Oxford University Press.
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