An Introduction to Set Theory

  • Jerome Malitz
Part of the Undergraduate Texts in Mathematics book series (UTM)


Through the centuries mathematicians and philosophers have wondered if size comparisons between infinite collections of objects can be made in a meaningful way. Does it make sense to ask if there are as many even numbers as odd numbers? What does it mean to say that one infinite collection has greater magnitude than another? Can one speak of different sizes of infinity?


Initial Segment Choice Function Winning Strategy Order Preserve Inaccessible Cardinal 
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Copyright information

© Springer-Verlag New York Inc 1979

Authors and Affiliations

  • Jerome Malitz
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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