Controversies about the Introduction of Non-Classical Logics

Authors

  • Angel Garrido National University of Distance Education, Madrid
  • Piedad Yuste National University of Distance Education, Madrid

Keywords:

Mathematics, Classical or Formal Logic, Non-Classical Logics, Artificial Intelligence.

Abstract

Logic is a set of well-formed formulae, along with an inference relation. But the Classical Logic is bivalent; for this reason, very limited to solve problems with uncertainty on the data. It is well-known that Artificial Intelligence requires Logic. Because its Classical version shows too many insufficiencies, it is very necessary to introduce more sophisticated tools, as may be NonClassical Logics; amongst them, Fuzzy Logic, Modal Logic, Non-Monotonic Logic, Para-consistent Logic, and so on. All them in the same line: against the dogmatism and the dualistic vision of the world: absolutely true vs. absolutely false, black vs. white, good or bad by nature, Yes vs. No, 0 vs. 1, Full vs. Empty, etc. We attempt to analyze here some of these very interesting Classical and modern Non-Classical Logics.

Author Biographies

Angel Garrido, National University of Distance Education, Madrid

Angel Garrido
Department of Fundamental Mathematics, Faculty of Sciences, National University of Distance
Education, Madrid, Spain, Paseo Senda del Rey, 9, 28040, Madrid, Spain
E-mail: agarrido@mat.uned.es

Piedad Yuste, National University of Distance Education, Madrid

Piedad Yuste
Department of Philosophy, Faculty of Philosophy, National University of Distance Education,
Madrid, Spain, Paseo Senda del Rey, 7, 28040, Madrid, Spain
E-mail: pyuste@fsof.uned.es

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Published

2015-07-20

How to Cite

Garrido, A., & Yuste, P. (2015). Controversies about the Introduction of Non-Classical Logics. BRAIN. Broad Research in Artificial Intelligence and Neuroscience, 5(1-4), pp. 34-45. Retrieved from https://lumenpublishing.com/journals/index.php/brain/article/view/1954

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