FUNDAMENTALS OF MATHEMATICAL LOGICS

Antonio DI NOLA FUNDAMENTALS OF MATHEMATICAL LOGICS

0522200014
DIPARTIMENTO DI MATEMATICA
MATHEMATICS
2015/2016

OBBLIGATORIO
YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2010
PRIMO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
Objectives


KNOWLEDGE AND UNDERSTANDING:
TO KNOW THE BASIC NOTIONS AND TECHNIQUES OF MODEL THEORY, SET THEORY AND FORMAL ARITHMETIC.

APPLYING KNOWLEDGE AND UNDERSTANDING:
THE AIM OF THE COURSE IS TO MAKE THE STUDENT ABLE TO APPLY THE NOTIONS GOT FROM THE LECTURES IN ORDER TO SOLVE SOME BASIC PROBLEMS.
COMMUNICATION SKILLS:
THE COURSE IS ADDRESSED TO HELP THE STUDENTS TO DISPLAY IN A RIGOROUS WAY THE ACCOMPLISHED NOTIONS.
MAKING JUDGEMENTS:
STUDENTS ARE GUIDED TO BE AWARE OF THE PIECES OF STUDIED THEORIES.
ABILITY TO LEARN:
THE COURSE WILL AIM TO IMPROVE THE AUTONOMY OF STUDENTS IN STUDYING MATHEMATICAL TOPICS.
Prerequisites

KNOWLEDGE OF ELEMENTARY NOTIONS OF ALGEBRA AND LOGIC.
Contents
BASIC NOTIONS OF UNIVERSAL ALGEBRA, OF MODEL THEORY, OF SET THEORY, OF FORMAL ARITHMETIC.
Teaching Methods
LESSONS AT BLACKBOARD.
Verification of learning
ORAL DISCUSSION.
Texts
•LECTURE NOTES.
•J.L. BELL- A.B. SLOMSON, MODELS AND ULTRAPRODUCTS.
•C.C. CHANG, H.J. KEISLER, MODEL THEORY
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