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====== Lovre Grisogono and Mateo Paulišić ====== ===== A Few Good Examples why to Refute Classical Logic in Quantum Mechanics ===== <blockquote>In this talk we shall present a few formal examples which will demonstrate how some classical logical properties fail when confronted with quantum mechanics. We will analyze classical properties such as commutativity and distributivity. First we will show the connection between logic and quantum mechanics in the way it is presented in Adler's and Wirth's article `Quantum logic' [Adler, C. G., Wirth, J. F. Quantum Logic. In //American Journal of Physics// 51(5): 1983, pp. 412-417.], and the examples will be taken from that article. An example from Putnam's 'Is Logic Empirical?' [Putnam, H. Is Logic Empirical? In //Boston Studies in the Philosophy of Science// 5, R. S. Cohen, M. W. Wartofsky, ur. Dodrecht: D. Reidel, 1968, pp. 174-197.] will be the last one presented.</blockquote>