# Matematica | COMPLEMENTARY MATHEMATICS II

## Matematica COMPLEMENTARY MATHEMATICS II

 0512300031 DIPARTIMENTO DI MATEMATICA EQF6 MATHEMATICS 2016/2017

 YEAR OF COURSE 3 YEAR OF DIDACTIC SYSTEM 2010 SECONDO SEMESTRE
SSD CFU HOURS ACTIVITY TYPE OF ACTIVITY MAT/04 6 48 LESSONS COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
 CRISTINA COPPOLA T
Objectives
KNOWLEDGE AND UNDERSTANDING: THE COURSE AIMS AT SUPPLYING STUDENTS WITH SOME BASIC MATHEMATICAL KNOWLEDGE, BY SETTING IT IN THE HISTORICAL CONTEXT OF ITS ORIGIN AND DEVELOPMENT. IN PARTICULAR, IT AIMS AT PROVIDING AN UNDERSTANDING OF THE FOUNDATIONAL ASPECTS OF MATHEMATICS, BY FOCUSING ON THE KEY MOMENTS OF THE MATHEMATICAL THINKING DEVELOPMENT.

Prerequisites
KNOWLEDGE OF THE BASIC NOTIONS IN ALGEBRA, GEOMETRY, ANALYSIS.
Contents
COMPARISON BETWEEN INFINITE SETS. CANTOR'S SET THEORY. TRANSFINITE ARITHMETIC. CRISIS OF THE SET THEORY. ANTINOMIES. THE AXIOMATIC METHOD. THE FOUNDATIONAL POINT OF VIEW AND THE STRUCTURALIST ONE. HILBERT’S PROGRAM. THE HILBERT’S PROGRAM FAILURE. GÖDEL THEOREMS. INTUITIONISM.
Teaching Methods
LESSONS IN THE CLASSROOM AND IN THE LABORATOR
Verification of learning
THE ASSESSMENT WILL BE CARRIED OUT BY MEANS OF AN ORAL EXHAMINATION. DURING THE EXAMINATION, KNOWLEDGE OF THE MATHEMATICAL CONTENT OF THE ARGUMENTS, CAPABILITY TO EXPOSE THEM IN A CRITICAL MANNER AND TO CONTEXTUALIZE THEM IN THE HISTORICAL DEVELOPMENT WILL BE EVALUATED.
Texts
L.MAIERÙ , PERCORSI STORICO-DIDATTICI DI MATEMATICA ED. LUIGI PELLEGRINO, COSENZA
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