- Inter-faculty Studies in Bioinformatics and Systems Biology
- Bachelor's degree, first cycle programme, Computer Science
- Bachelor's degree, first cycle programme, Mathematics
- Master's degree, second cycle programme, Bioinformatics and Systems Biology
- Master's degree, second cycle programme, Computer Science
- Master's degree, second cycle programme, Mathematics
Explanatory Role of Probability in Philosophy and Science 3501-ERP18-M-OG
Here is an agenda of the lecture:
1. The standard probability theory established by Kolmogorov
a. probability space
b. probability as a real function
c. probability as a measure
d. probability as the Lebegue measure
e. consequences which the theorem about the existence of unmeasurable sets has for the standard probability theory
f. axioms of the standard probability theory
g. discussion over the axiom of countable additivity
2. The fundamental interpretations of probability: objective interpretation
a. probability as relative frequency
b. probability as propensity
c. the notion of deviation
d. explanatory role of probability in empirical theories such as statistical mechanics and quantum mechanics
e. ontic and epistemic determinism
3. The fundamental interpretations of probability: subjective interpretation
a. discussion over representing degrees of belief by probabilities
b. representation of beliefs by families of probability functions
c. probabilities as the result of applying Bayesian norms
d. explanatory role of probability in inductive logics
e. explanatory role of probability in probabilistic logics
Type of course
Mode
Prerequisites (description)
Learning outcomes
Concerning the student’s knowledge
Student knows which are theoretical foundations of probability;
Student knows which is the actual stage of research over the role of probability in philosophy and science;
Student knows which are the main problems concerning the representation of beliefs in the standard probability theory;
Student knows which are proposed in the literature solutions of the problems representing beliefs in the standard probability theory and which problems are still open;
Student knows which are problems with applying probability in statistical mechanics and in quantum mechanics.
Concerning the student’s accomplishments
Student can formulate problems in the area confined by the subject of this lecture;
Student can apply formal tools and techniques for the analysis of questions confined by the subject of this lecture;
Student can prepare an essay, MA or PhD dissertation on the subject of this lecture.
Concerning social competences
Student can make use of the knowledge acquired during this lecture;
Student can defend his view making use of the notion introduced during this lecture;
Student can take part in discussion on the explanatory role of probability in philosophy and science.
Assessment criteria
Student is evaluated for his (her) presence on these lectures, as well as for his (her) conversation with the lecturer on the topics explained during this course.
Bibliography
Krystyna Simons, "Paradoksy prawdopodobieństwa", 2017, Warszawa: PWN.
Inne pozycje bibliograficzne zostaną podane w czasie wykładu.
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
- Inter-faculty Studies in Bioinformatics and Systems Biology
- Bachelor's degree, first cycle programme, Computer Science
- Bachelor's degree, first cycle programme, Mathematics
- Master's degree, second cycle programme, Bioinformatics and Systems Biology
- Master's degree, second cycle programme, Computer Science
- Master's degree, second cycle programme, Mathematics
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: