| Center |
| Faculty of Mathematics |
| Departament |
| Logic and Philosophy of Science |
| Lecturers in charge |
| H2229 - JUAN BLAS CLIMENT VIDAL |
| Met. Docent |
| Lectures, practical workshops and tutorials |
| Met. Avaluació |
| Final examination and project work |
| Bibliografia |
| ALCOLEA, J.: Logicismo, formalismo, intuicionismo. Valencia: Nau Llibres, 1985. CAÑÓN, C.: La matemática: Creación y descubrimiento. Madrid: UPCO, 1993. FREGE, G.: Escritos filosóficos. Barcelona: Crítica, 1996. LAKATOS, I.: Matemáticas, ciencia y epistemología. Madrid: Alianza, 1981. LEAR, J.: Aristóteles. Madrid: Alianza, 1994. LORENZO, J. de: Filosofía de la matemática: fin de siglo XX. Valladolid: Secretariado de Publicaciones de la Universidad de Valladolid, 2000. ROSS, W. D.: La teoría de las ideas de Platón. Madrid: Cátedra, 2ª ed., 1989. RUSSELL, B.: Introducción a la filosofía matemática. Barcelona: Paidós, 1988. SHAPIRO, S.: Thinking about Mathematics. Oxford: Oxford University Press, 2000. |
| Continguts |
| Theme 1. Presentation and preliminaries. Theme 2. Plato's philosophy of mathematics. Theme 3. Aristotle's philosophy of mathematics. Theme 4. Views of mathematics in XVII-XVIII centuries. Theme 5. Kant's philosophy of mathematics. Theme 6. Realisme and psicologisme in the mathematics of the XIX century. Theme 7. Infinity and paradoxes. Theme 8. Frege's philosophy of arithmetic. Theme 9. The programs of foundations. Theme 10. Mathematical realism. Theme 11. Lakatos's philosophy of mathematics. Theme 12. Aspects of Wittgenstein's philosophy of mathematics. Theme 13. Present perspectives. |
| Objetius |
| Our main aim is to introduce the present state of the Philosophy of Mathematics, its evolution along history and some of the most relevant topics and problems. |
| URL de Fitxa |