ua nt - p h / 99 03 09 5 v 1 3 0 M ar 1 99 9 The Meaning of Elements of Reality and Quantum Counterfactuals – Reply to Kastner

This paper is the answer to the paper by Kastner [ Found. Phys. to be published, quant-ph/9807037] in which she continued the criticism of the counterfactual usage of the Aharonov-Bergman-Lebowitz rule in the framework of the time-symmetrized quantum theory, in particular, by analyzing the three-box “paradox”. It is argued that the criticism is not sound. Paradoxical features of the three-box example has been explained. It is explained that the elements of reality in the framework of time-symmetrized quantum theory are counterfactual statements and, therefore, even conflicting elements of reality can be associated with a single particle. It is shown how such “counterfactual” elements of reality can be useful in the analysis of a physical experiment (the three-box example). The validity of Kastner’s application of the consistent histories approach to the time-symmetrized counterfactuals