Some Points of Logic

Part of the Undergraduate Texts in Mathematics book series (UTM, volume 0)


Before You Get Started. We have already used phrases like for all, there exists, and, or, if... then, etc. What exactly do these mean? How would the meaning of a statement such as Axiom 1.4 change if we switched the order of some of these phrases? We will also need to express the negations of mathematical statements. Think about what the negation of an and statement should look like; for example, what are the negations of the statements “John and Mary like cookies” or “there exist positive integers that are not prime”?


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Copyright information

© Matthias Beck and Ross Geoghegan 2010

Authors and Affiliations

  1. 1.Department of MathematicsSan Francisco State UniversitySan FranciscoUSA
  2. 2.Department of Mathematical SciencesBinghamton University State University of New YorkBinghamtonUSA

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