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Philosophy of Mathematics

General data

Course ID: WM-MA-FILM
Erasmus code / ISCED: (unknown) / (unknown)
Course title: Philosophy of Mathematics
Name in Polish: Filozofia matematyki
Organizational unit: Faculty of Mathematics and Natural Sciences. School of Exact Sciences.
Course groups: Courses at UKSW
ECTS credit allocation (and other scores): 6.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.
Language: Polish
(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się:

mathematics

Subject level:

intermediate

Learning outcome code/codes:

MA1_W03 (X1A_W03)


MA1_U01, U04, U36 (X1A_U01)


MA1_K02 (X1A_K07)

Preliminary Requirements:

(in Polish) podstawy algebry i analizy matematycznej

Short description:

History of Philosophy of Mathematics

Truth and Mathematical Language

Mathematics and Nature

Full description:

Basics of Mathematical Philosophy

Evolution of Mathematical Concepts

Mathematics in Antiquity

Mathematics in Modern Times

Contemporary Currents in Philosophy of Mathematics

Mathematical Criterion of Truth

Problems of Contradiction and Completeness in Formal Systems

Mathematics and Logic

Mathematics in Classical Physics

Mathematics in Contemporary Physics

Quantum Theory and Reality

The New Mathematics of Chaos and Nonlinear Dynamics

The Fractal Geometry of Nature

Mathematical Cosmological Models

Conclusions: the Essence of Mathematics

Bibliography:

Robert Audi (1999), The Cambridge Dictionary of Philosophy, Cambridge University Press, Cambridge, UK, 1995, 2nd edition, page 542.

Thomas Tymoczko, New Directions in the Philosophy of Mathematics, 1998, ISBN 978-0691034980.

Ian Stewart, Does God Play Dice? The New Mathematics of Chaos, Penguin Books 1990.

---

Wiesław M. Macek, The Origin of the World: Cosmos or Chaos? Wydawnictwo Naukowe UKSW, 2020, 978-83-8090-690-7, e-ISBN 978-83-8090-687-7,

Benoit B. Mandelbrot, The Fractal Geometry of Nature, W. H. Freeman and Company, New York, 1977, 1982, 1983.

Michael Heller, The New Physics and a New Theology, G. V. Coyne, S. Giovannini, T. M. Sierotowicz, Vatican Observatory Publications, Notre Dame 1996.

Michael Heller, Ultimate Explanations of the Universe, Springer-Verlag Berlin & Heidelberg, 2009.

Isaac Newton, The Mathematical Principles of Natural Philosophy, University of California Press, Berkeley, 1999.

Michael Heller, Philosophy of Chance. A Cosmic Fugue with a Prelude and a Coda, Copernicus Center Press, Krakow 2012.

Shing-Tung Yau, Steve Nadis, The Shape of Inner Space. String Theory and the Geometry of the Universe's Hidden Dimensions, Basic Books, New York, 2010.

Efekty kształcenia i opis ECTS:

Understand the essence and importance of mathematical theories in contemporary science.

Can apply the knowledge to modeling real phenomena in nature.

Can think and act in a rational way.

Assessment methods and assessment criteria:

Participation at lectures and exercises

Written paper / oral examination

knowledge and understanding 3

analysis and synthesis 4

original evaluation of philosophy of mathematics 5

Classes in period "Winter semester 2021/22" (past)

Time span: 2021-10-01 - 2022-01-31
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
Coordinators: Wiesław Macek
Group instructors: Wiesław Macek
Course homepage: https://e.uksw.edu.pl/mod/forum/discuss.php?d=13725
Students list: (inaccessible to you)
Examination: Course - examination
Classes - graded credit
Lectures - examination
(in Polish) E-Learning:

(in Polish) E-Learning (pełny kurs) z podziałem na grupy

Classes in period "Winter semester 2022/23" (past)

Time span: 2022-10-01 - 2023-01-31
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
Coordinators: Wiesław Macek
Group instructors: Wiesław Macek
Course homepage: https://e.uksw.edu.pl/course/view.php?id=31431
Students list: (inaccessible to you)
Examination: Course - examination
Classes - graded credit
Lectures - examination
(in Polish) E-Learning:

(in Polish) E-Learning (pełny kurs) z podziałem na grupy

Classes in period "Winter semester 2023/24" (past)

Time span: 2023-10-01 - 2024-01-31
Selected timetable range:
Navigate to timetable
Type of class:
Classes, 30 hours more information
Lectures, 30 hours more information
Coordinators: Wiesław Macek
Group instructors: Wiesław Macek
Students list: (inaccessible to you)
Examination: examination
(in Polish) E-Learning:

(in Polish) E-Learning

Type of subject:

obligatory

(in Polish) Grupa przedmiotów ogólnouczenianych:

(in Polish) nie dotyczy

Course descriptions are protected by copyright.
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