PHIL392 HISTORY AND METHODOLOGY OF GEOMETRY
| Course Code: | 2410392 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Philosophy |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assoc.Prof.Dr. SAMET BAĞÇE |
| Offered Semester: | Fall or Spring Semesters. |
Course Objectives
Course Intended for students of Philosophy and other Departments.
Course Syllabus: This course, while providing a philosophical and historical account of how non-Euclidean geometries were discovered, deals with some important methodological and historical problems of geometry such as the possibility of methodology of non-empirical sciences, continuity and progress in geometry with special emphasis on case studies in geometry.
Course Content: The discovery of non-Euclidean geometries has a long and complicated history. The predominant account of this discovery claims that this history is a linear compilation of geometrical results and should be best understood as a sequence of foundational studies. Moreover, it does not deal with the issues of rationality geometrical progress and revolutions in the history of geometry. So it has some weakness to represent faithfully what went on when such a discovery came about. An historical-cum-methodological account of this discovery shall be offered in terms of methods employed by geometers in problem-solving, the characterization of geometrical language, problems and theories, and the intentions of geometers themselves. Euclid’s and Saccheri’s works will be studied as case studies.
Pre-Requisites: Some familiarity with logic and the philosophy and history of science.
Written Work, Oral Presentation and Examination: tba.
Course Content
History of the discovery of non-Euclidean geometries; historical and methodological problems of geometrical progress.
Course Learning Outcomes
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Have the knowledge and skills of research method which is a requirement in order to be successful in academic studies. | ✔ | |||
| 2 | Have the capacity for applying philosophical knowledge to scientific and social issues. | ✔ | |||
| 3 | Examine and analyze a subject matter and make philosophical interpretations on it. | ✔ | |||
| 4 | Have the skills of critical thinking, analytical approach, problem solving, multi-dimensional view, making inferences and interpretations regarding to philosophical texts and scientific facts. | ✔ | |||
| 5 | Identify the basic concepts and issues in philosophy. | ✔ | |||
| 6 | Evaluate and understand the underlying philosophical assumptions of fundamental and social sciences. | ✔ | |||
| 7 | Have capacity to make interdisciplinary readings and analysis. | ✔ | |||
| 8 | Have verbal and written presentation and effective communication skills, be open to team work and do interdisciplinary study. | ✔ | |||
| 9 | Make connections between contemporary ethical, social, cultural, esthetic and politic issues. | ✔ | |||
| 10 | Interpret the historical development of scientific and philosophical questions. | ✔ | |||
| 11 | Have knowledge about contemporary philosophical issues and their relations to other disciplines. | ✔ | |||
| 12 | Use modern information tools in order to make research in philosophy. | ✔ | |||
| 13 | Improve their professional and personal skills lifelong. | ✔ | |||
| 14 | Use information technologies effectively in domain applications in philosophy. | ✔ | |||
| 15 | Have self-confidence and develop original ideas regarding to philosophy. | ✔ | |||
| 16 | Have social and ethical responsibility regarding to contemporary issues. | ✔ | |||
| 17 | Have good knowledge of English, research method and computer skills and use these skills effectively. | ✔ | |||
| 18 | Comprehend the basic theories and issues in sub-disciplines of philosophy. | ✔ | |||
| 19 | Have an advanced knowledge in certain specific fields such as environment, technology, culture, art etc. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution