Ebook: Quantum Logic in Algebraic Approach

This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U.S.A., where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is
greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director ofthe Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible.
I also wish to thank both the members of the Fouridations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J. Forge not only for their interest in the seminars and in the subsequent stimulating discussions but also for their hospitality in Utrecht and Pittsburgh, which made my stay in Utrecht and Pittsburgh a most pleasant experience. Special thanks go to my friend and colleague D. Petz, professor of mathematics in the Mathematics Institute of the Technical University in Budapest, Hungary, who encouraged me to complete the lecture notes and who corrected a number of errors in the manuscript. Needless to say, neither he, nor any of those mentioned here bear any responsibility whatsoever for any errors that might remain in the work.