Digital.Maag Repository

Browsing Theses by Subject "Set theory."

Browsing Theses by Subject "Set theory."

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  • Pace, Dennis (2012)
    This paper proves the equivalences of the Axiom of Choice and 7 other well known formulations. It then proves a few notable applications of the Axiom of Choice and discusses its importance in modern mathematics.
  • St. John, Gavin (2013)
    We present a demonstration of the Gödel 's incompleteness phenomenon in the formal first-order axiomatization of the Zermelo-Fraenkel axioms of set theory following the methods displayed in Gödel 's famous 1931 paper, Über ...
  • Tronzo, Mark D. (2005)
    This thesis investigates various methods of producing spectral inclusion sets of matrices. The purpose of this investigation is threefold. First of all, various methods will be compared in order to give insight into the ...

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