Antonio DI NOLA | FUNDAMENTALS OF MATHEMATICAL LOGICS
Antonio DI NOLA FUNDAMENTALS OF MATHEMATICAL LOGICS
cod. 0522200014
FUNDAMENTALS OF MATHEMATICAL LOGICS
0522200014 | |
DIPARTIMENTO DI MATEMATICA | |
MATHEMATICS | |
2015/2016 |
OBBLIGATORIO | |
YEAR OF COURSE 1 | |
YEAR OF DIDACTIC SYSTEM 2010 | |
PRIMO SEMESTRE |
SSD | CFU | HOURS | ACTIVITY | |
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MAT/01 | 6 | 48 | LESSONS |
Objectives | |
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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 | |
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KNOWLEDGE OF ELEMENTARY NOTIONS OF ALGEBRA AND LOGIC. |
Contents | |
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BASIC NOTIONS OF UNIVERSAL ALGEBRA, OF MODEL THEORY, OF SET THEORY, OF FORMAL ARITHMETIC. |
Teaching Methods | |
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LESSONS AT BLACKBOARD. |
Verification of learning | |
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ORAL DISCUSSION. |
Texts | |
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•LECTURE NOTES. •J.L. BELL- A.B. SLOMSON, MODELS AND ULTRAPRODUCTS. •C.C. CHANG, H.J. KEISLER, MODEL THEORY |
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