Chance in Quantum Mechanics

• The worldview of the end of 19th century physics: determinism, locality, Markovity
• The fundamental conceptions of QM
• QM as non-classical probability theory
  • Classical probability theory
  • Interpretations of probability
    
  • Probability on Hilbert lattice
    
  • Relationship between quantum and classical probability
  • Quantum logic
    
  • Two different interpretations of quantum probability
• The measurement paradox
  • Two different interpretations of the wave function
  • The measurement paradox and its popular formulations (Schrödinger's cat, etc.)
• No Go theorems of QM
  • Neumann theorem
    
  • Jauch--Piron theorem
  • Kochen--Specker theorem
  • The Einstein--Podolsky--Rosen argument
    
  • "Laboratory Record" theorem
    
  • Bell theorem
    
  • Reichenbach's common cause principle
    
  • Greenberger--Horne--Zeilinger theorem
    
  • No Go theorems and determinism
• Free will and QM
  • The context of the probem of free will
  • The Newcomb paradox
  • Phenomenology of free will
  • Free will and QM
    
• Possible Resolutions
  • The "Kolmogorovian Censorship" hypothesis
  • Arthur Fine’s Interpretation of Quantum Statistics

• E. Szabó László: A nyitott jövő problémája - véletlen, kauzalitás és determinizmus a fizikában, Typotex Könyvkiadó, Budapest, 2002. (A könyv javított digitális kiadása PDF formában letölthető innen.) (L. E. Szabó, The Problem of Open Future: Chance, Causality, and Determinism in Physics, draft manuscript will be available)
• Michael Redhead: Incompleteness, Nonlocality, and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics (Clarendon Paperbacks) [elérhető az olvasóteremben is]
• H. Reichenbach: Philosophic Foundations of Quantum Mechanics, University of California Press, 1944.  [elérhető az olvasóteremben]
• Bas C. van Fraassen: Quantum Mechanics: An Empiricist View  (Clarendon Paperbacks) [elérhető az olvasóteremben]
• L. E. Szabó: The Einstein-Podolsky-Rosen Argument and the Bell Inequalities, Internet Encyclopedia of Philosophy (2008)
• Pitowsky, I., Quantum Probability - Quantum Logic (Lecture Notes in Physics 321), (Springer, Berlin)(1989) 
• M. Rédei: Quantum Logic in Algebraic Approach (Fundamental Theories of Physics Vol. 91.) Kluwer Academic Publishers, Dordrecht, Boston  and London, 1998.  (5. fejezet)
• L. E. Szabó and Arthur Fine: A local hidden variable theory for the GHZ experiment, Physics Letters A295 (2002) pp. 229-240
• L. E. Szabó: Critical reflections on quantum probability theory, in M. Rédei, M. Stoeltzner (eds.), John von Neumann and the Foundations of Quantum Physics, Vienna Circle Institute Yearbook 2001,  Kluwer, Dordrecht.
• L. E. Szabó: What remains of probability?, in D. Dieks, W. Gonzalez, S. Hartmann, M. Weber, F. Stadler and T. Uebel (eds.), The Present Situation in the Philosophy of Science, Springer, forthcoming. [PDF]
• L. E. Szabó: Objective probability-like things with and without  objective indeterminism, Studies in History and Philosophy of Modern Physics 38 (2007) 626–634 [Prepirnt (PDF)] 
• G. Hofer-Szabó, M. Rédei, L. E. Szabó: The Principle of the Common Cause, Cambridge University Press, 2013.