Learning objectives
Knowledge of the rudiments of axiomatic set theory in which to then develop arithmetic (according to Peano).
Course unit content
Halmos set theory. Peano natural numbers, Induction theorems, recursion theorems; Peano-Lawere axiom. The Morse-Kelly-Mostowski set theory.
Bibliography
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<p>[1] P.R. HALMOS, Naïve Set Theory, Springer 1974. <br />
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[2] W.S. HATCHER, Fondamenti della Matematica, Boringhieri 1973. <br />
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[3] J.D. MONK, Introduzione alla Teoria degli insiemi, Boringhieri 1977. <br />
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[4] W. JUST, M. WEESE, Discovering modern set theory, AMS 1996 <br />
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