Mathematical Sentences

  • Franco VivaldiEmail author
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


We develop the logical structure of mathematical sentences. The chief attribute of a statement is its truth or falsehood, encoded in the logical constants True and False. We form simple sentences—the relational expressions—using relational and logical operators. The formulation of statements of greater logical depth requires logical functions—called predicates—and quantifiers, which resemble integrals. The last section deals with relations.

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Mathematical SciencesQueen Mary, University of LondonLondonUK

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