Philosophy of Mathematics WM-MA-FILM
- https://e.uksw.edu.pl/mod/forum/discuss.php?d=13725 (term 2021/22_Z)
- https://e.uksw.edu.pl/course/view.php?id=31431 (term 2022/23_Z)
- https://e.uksw.edu.pl/course/view.php?id=44556#section-1 (term 2024/25_Z)
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
(in Polish) Dyscyplina naukowa, do której odnoszą się efekty uczenia się
(in Polish) E-Learning
Term 2021/22_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2024/25_Z: (in Polish) E-Learning | Term 2023/24_Z: (in Polish) E-Learning | Term 2022/23_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy | Term 2020/21_Z: (in Polish) E-Learning (pełny kurs) z podziałem na grupy |
(in Polish) Grupa przedmiotów ogólnouczenianych
Subject level
Learning outcome code/codes
Type of subject
Preliminary Requirements
Course coordinators
Learning outcomes
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 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
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.
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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.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: