Found 7 relevant results in 2.42s where lecturer="Giovanni Sommaruga"
Logic: From Aristotle to Gödel
Logik: Von Aristoteles bis Gödel
A look into the history of the discipline of logic and into its various philosophical questions and problems which have been raised or posed in course of this history.
Philosophical Reflections on Mathematics
Philosophische Überlegungen zur Mathematik
Content: This lecture has 3 parts: 1 a historical part on Aristotle, I. Kant and J.St. Mill; 2 a part on the main conceptions of mathematics: logicism, formalism, intuitionism; 3 a couple of topics chosen from the contemporary discussion such as: the debate about the existence of numbers, structuralism, or foundational schemes of mathematics.
Philosophy of Logic
Philosophie der Logik
Philosophy of logic is a philosophical reflection on some key concepts and key topics of formal i.e. mathematical logic. On the one hand this seminar will provide some knowledge of basic technical logical results, on the other hand it will on this basis provide an introduction to the philosophical discussion of such topics as truth, logical consequence, existence, possible worlds and constructivsm
Questions Concerning the Philosophy of Mathematics, Theoretical Physics and Computer Science
Fragen zur Philosophie der Mathematik, theoretischen Physik und Informatik
This seminar tackles questions of the philosophy of mathematics, of theoretical physics ad computer science which are rather non-standard such as: Are proofs really constitutive of mathematics? Why are applications of mathematics (to nature but also to mathematics itself) so fascinating and so hard to understand? etc.
The Development of Set Theory as a Basis for Analysis and Algebra
Die Entwicklung der Mengentheorie als Fundament der Analysis und Algebra
No description available.
The Foundations of Analysis from a Philosophical and Historical Point of View
Die Grundlagen der Analysis aus philosophischer und historischer Sicht
Accompanying the courses in analysis, the beginning and development of analysis will be considered and discussed from a philosophical perspective. In particular, different approaches towards dealing with the problems sparked off by the infinitesimals will be studied. And finally, a short presentation of non-standard analysis will be given.
The Infinite in Philosophy and the Sciences
Das Unendliche in der Philosophie und in den Wissenschaften
On the one hand, the topic of the infinite will be dealt with historically by discussing philosophical texts, by e.g., Kant, Bolzano and Cantor. On the other hand, the topic will be treated from a (non-historical) scientific point of view: the point of view of logic, mathematics, and possibly also physics.