The course aims at introducing the students to the epistemological study of mathematical processes, by means of a detialed analysis of some significant examples stemming from various mathematical disciplines.
Expected learning outcomes
At the end of the course, students will have acquired some basic knowledge about the construction of mathematical theories, and about their epistemological meaning.
We will move from a critical revision of some actual epistemological interpretations of mathematics to present, starting from a number of examples realo epistemological problems inviting the students to provide a personal elaboration.
Prerequisites for admission
Good general knowlwdge of the mathematics of the first three years and of the first of the two following years.
Usual class lessons at the blackboard.
Classroom lecture notes and a bibligraphy relative to the topics dealt with.
Assessment methods and Criteria
Final oral exam. The student has to prove his/her capability in proving theorems presented in the classes and their relation to classical epistemology problems.