Logic & Philosophy of Science

Course Description


Course:  LPS 141D/241; Phil 141D/241
Name:  Probability and Determinism
Description:  The course will examine a cluster of interrelated issues concerning probability, determinism, logic, and the foundations of quantum mechanics. After reviewing basic ideas of probability theory and determinism, we will first carefully analyze (versions of) "Bell's theorem". These can be understood to show the impossibility of reconciling determinism with "locality" in microphysics. They can also be taken to show that "quantum probability" is non-standard, i.e., not in conformity with the characterization of probability given by Kolmogorov. After that we will consider certain controversial claims of Hilary Putnam about the connection between probability and logic in quantum mechanics. (It was Putnam's view, at least at one time, that "quantum probability" is standard, but "quantum logic" is not.) 

The course will not presuppose any specific course work in physics, but will take for granted familiarity with formal logic (LPS 105B or its equivalent), and basic undergraduate mathematics (at least calculus and linear algebra). More advanced prior training in mathematics and/or physics will certainly be helpful 

For further information and a syllabus, see the Course Webpage