Abstract

Logic formalizes valid methods of reasoning. The study of logic was begun by the ancient Greeks whose educational system stressed competence in reasoning and in the use of language. Along with rhetoric and grammar, logic formed part of the trivium, the first subjects taught to young people. Rules of logic were classified and named. The most widely known set of rules are the syllogisms; here is an example of one form of syllogism:

Premise All rabbits have fur.

Premise Some pets are rabbits.

Conclusion Some pets have fur.

If both premises are true, the rules ensure that the conclusion is true.

Keywords

Transportation Sorting 

References

  1. E. Mendelson. Introduction to Mathematical Logic (Fifth Edition). Chapman & Hall/CRC, 2009. MATHGoogle Scholar
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  3. R.M. Smullyan. First-Order Logic. Springer-Verlag, 1968. Reprinted by Dover, 1995. MATHCrossRefGoogle Scholar
  4. R.M. Smullyan. What Is the Name of This Book?—The Riddle of Dracula and Other Logical Puzzles. Prentice-Hall, 1978. MATHGoogle Scholar

Copyright information

© Springer-Verlag London 2012

Authors and Affiliations

  • Mordechai Ben-Ari
    • 1
  1. 1.Department of Science TeachingWeizmann Institute of ScienceRehovotIsrael

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