SylabUZ
| Nazwa przedmiotu | Elements of the History and Philosophy of Mathematics |
| Kod przedmiotu | 11.1-WK-MATEP-EHPM-S22 |
| Wydział | Wydział Matematyki, Informatyki i Ekonometrii |
| Kierunek | Mathematics |
| Profil | ogólnoakademicki |
| Rodzaj studiów | pierwszego stopnia z tyt. licencjata |
| Semestr rozpoczęcia | semestr zimowy 2022/2023 |
| Semestr | 4 |
| Liczba punktów ECTS do zdobycia | 2 |
| Typ przedmiotu | obieralny |
| Język nauczania | angielski |
| Sylabus opracował |
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| Forma zajęć | Liczba godzin w semestrze (stacjonarne) | Liczba godzin w tygodniu (stacjonarne) | Liczba godzin w semestrze (niestacjonarne) | Liczba godzin w tygodniu (niestacjonarne) | Forma zaliczenia |
| Wykład | 30 | 2 | - | - | Zaliczenie na ocenę |
Students should be familiar with an outline of history of main fields of mathematics, in particular, with evolution of the most important concepts and ideas in mathematics. Moreover, students should know the main directions in modern philosophy of mathematics.
Standard courses in: logic and the set theory, geometry , mathematical analysis.
1. Outline of history of logic and the set theory ( 2 hours ).
2. Foundations of mathematics. Formalized theories. Hilbert's program. Models of mathematical theories. Godel's theorems and their philosophical implications ( 2 hours ).
3. The classical directions in the modern philosophy in mathematics. Platonism, formalism, intuitionism, constructivism. ( 2 hours ).
4. The problem of the truth and existence in mathematics.The cultural basis of mathematics. ( 2 hours ).
5. Different concepts of reconstruction of mathematics. Reconstruction of mathematics on the base of the set theory. Structuralism in mathematics: Bourbaki.Theory of categories. ( 2 hours ).
6. Element of history of mathematics.
Mathematics in the Ancient Orient. ( 2hours )
Mathematics in Greece. ( 2 hours )
Arabic mathematics. ( 2 hours )
Mathematics in XVI century. ( 2 hours )
Mathematics in XVII century. ( 2 hours )
Mathematics in XVIII century. ( 2 hours )
Mathematics in XIX century. ( 2 hours )
7. Evolution of the most important mathematical concepts and ideas. Outline of history of geometry, algebra and mathematical analysis. ( 4 hours)
8. Outline of history of mathematics in Poland. The Lvov and the Warsaw mathematical schools. ( 2 hours )
Traditional lecture, open to a discussion and expressing opinions by students.
| Opis efektu | Symbole efektów | Metody weryfikacji | Forma zajęć |
A preparation of a research essay on a chosen subject in history or philosophy of mathematics.
1. D.Struik, A concise History of Mathematics, Dover Publications, Inc.,New York,1948.
2. P. Davis , R. Hersh, The Mathematical Experience, Springer,1981.
Zmodyfikowane przez dr hab. Bogdan Szal, prof. UZ (ostatnia modyfikacja: 21-02-2024 15:38)
