Universität Wien
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250097 VO Introduction to Mathematical logic (2024W)

6.00 ECTS (4.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 01.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 03.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 08.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 10.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 15.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 17.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 22.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 24.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 29.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 31.10. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 05.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 07.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 12.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 14.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 19.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 21.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 26.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 28.11. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 03.12. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 05.12. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 10.12. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 12.12. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 17.12. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 07.01. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 09.01. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 14.01. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 16.01. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 21.01. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Thursday 23.01. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01
  • Tuesday 28.01. 08:00 - 09:30 Seminarraum 10, Kolingasse 14-16, OG01

Information

Aims, contents and method of the course

This class is an introduction to mathematical logic. The primary goal is to take a deep dive into first-order logic by unraveling the connections between its syntax and its semantics. Some highlights will be: Gödel's Completeness Theorem and the Compactness Theorem for first-order logic; the Back and Forth method and Ehrenfeucht-Fraïssé games; Elimination of Quantifiers; Tarski's Theorem on the non-definability of truth; and Gödel's Incompleteness Theorems. In the process we will cover some basics of model theory, recursion theory and set theory and discuss applications to algebra, combinatorics, and other areas of mathematics.

Assessment and permitted materials

There will be a final exam during the last lecture. A couple more exam dates will be announced later, to take place during the summer semester of 2024.

Minimum requirements and assessment criteria

Pass the final exam.

Examination topics

For the final exam you will need to know the material covered in the lecture and the discussion sessions, and be able to apply it. I will regularly assign problems that will help you deepen your understanding of the material. You should expect similar problems to appear on the final.

Reading list

In terms of which topics we will cover and in what order, we will closely follow the books:

(1) "A first journey through logic" by M. Hils and F. Loeser
https://webusers.imj-prg.fr/~francois.loeser/stml089.pdf

and
(2) "An Invitation to Mathematical Logic" by D. Marker

Another good source is Lou van den Dries' "Mathematical Logic Lecture Notes" which can be found, for example, here: https://www.mat.univie.ac.at/~panagiotopoulos/2019.pdf

Association in the course directory

MLOL

Last modified: Th 30.01.2025 12:46