180121 VO-L What ist math? (2012W)
Labels
Details
Language: German
Examination dates
- Thursday 31.01.2013
- Thursday 07.03.2013 09:15 - 10:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
Lecturers
Classes (iCal) - next class is marked with N
- Thursday 04.10. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 11.10. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 18.10. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 25.10. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 08.11. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 15.11. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 22.11. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 29.11. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 06.12. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 13.12. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 10.01. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 17.01. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 24.01. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
- Thursday 31.01. 09:00 - 11:00 Hörsaal 3D, NIG Universitätsstraße 7/Stg. III/3. Stock, 1010 Wien
Information
Aims, contents and method of the course
These lectures will convey a feeling of what mathematics is, with emphasis on those aspects which are of particular interest for students of philosophy. Hence, this will be neither an introduction into elementary mathematics, nor into the philosophy of mathematics. It will deal with those aspects of mathematics which are especially important for a a general philosophical education.
Assessment and permitted materials
Minimum requirements and assessment criteria
Examination topics
Examples of proofs. Indirect proofs. Proofs by induction. Examples of fallacious proofs. The pitfalls of intuition. The idea of a formal proof.
Mathematics and infinity. The continuum.
The notions of limits, examples of differentiation and integration, maxima and minima.
The mathematization of logic. Russell, Gödel and Turing. Computers, algorithms and their limits.
Mathematics and probability. Statistical fallacies.
Mathematics and the concept of number.
Geometry. The Euclidean postulate. The variety of geometries. The notion of dimension.
Some important steps in the historical development. Foundational crises from Zeno to Lakatos.
Mathematical riddles, mathematical recreations, and open problems
Game theory, social models, voting paradoxes
The structure of mathematics, its astonishing efficiency
Views of mathematics from the outside, as provided by school or media
Mathematics and infinity. The continuum.
The notions of limits, examples of differentiation and integration, maxima and minima.
The mathematization of logic. Russell, Gödel and Turing. Computers, algorithms and their limits.
Mathematics and probability. Statistical fallacies.
Mathematics and the concept of number.
Geometry. The Euclidean postulate. The variety of geometries. The notion of dimension.
Some important steps in the historical development. Foundational crises from Zeno to Lakatos.
Mathematical riddles, mathematical recreations, and open problems
Game theory, social models, voting paradoxes
The structure of mathematics, its astonishing efficiency
Views of mathematics from the outside, as provided by school or media
Reading list
Association in the course directory
BA M 15, MA M1, M3 (A.); MA (alt:) M1; HPS M4
Last modified: Mo 07.09.2020 15:36