Set Theory (wykład) - 2019/2020

Course description
General information
Lecturer:dr Marcin Czakon
Organising unit:Faculty of Philosophy - Instytut Filozofii
Number of hours (week/semester): 1/15
Language of instruction:Język polski
Course objective
During the course, the students will have an opportunity to get acquainted with the basic set-theoretical objects, properties and relations: the relation of equinumerosity, countable and uncountable sets, cardinal numbers and the arithmetic operations on cardinal numbers, linear and well-ordered sets, ordinal types and numbers.
Learning outcomes
Teaching method
Course content description
The lecture in set theory consists of three parts. The first part, which is predominantly historical, focuses on the evolution of the set-theoretical notions in philosophy and mathematics, starting from the ancient arguments against motion until Cantor\\\'s theory of sets. The second part is devoted to the set-theoretical antinomies and their solutions. The third part presents the Zermelo-Fraenkel axiomatic set theory.
Forms of assessment
Required reading list
Primary sources: L. Borkowski, Wprowadzenie do logiki i teorii mnogości, TN KUL, Lublin 1991; L. Gruszecki, U źródeł pojęć mnogościowych, Wydawnictwo KUL, Lublin 2006; Kuratowski.
Secondary sources: K. Mostowski, Teoria mnogości, Warszawa 1952; R. Murawski, Filozofia matematyki. Zarys dziejów, Wydawnictwo Naukowe PWN, Warszawa 2001.
Field of study: Philosophy
Course listing in the Schedule of Courses:
Year/semester:Year II - Semester 3
Number of ECTS credits: 2
Form of assessment: Credit