ELEMENTARY MATHEMATICS FROM A HIGHER STANDPOINT
cod. 00681

Academic year 2008/09
1° year of course - Second semester
Professor
Academic discipline
Matematiche complementari (MAT/04)
Field
Formazione logica e fondazionale
Type of training activity
Characterising
48 hours
of face-to-face activities
6 credits
hub:
course unit
in - - -

Learning objectives

Knowledge of the rudiments of axiomatic set theory in which to then develop arithmetic (according to Peano).

Prerequisites

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Course unit content

Halmos set theory. Peano natural numbers, Induction theorems, recursion theorems; Peano-Lawere axiom. The Morse-Kelly-Mostowski set theory. 

Full programme

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Bibliography

<p> </p>
<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 />
</p>

Teaching methods

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Assessment methods and criteria

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Other information

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