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The existence of objects in time or, generally speaking, the existence of objects that are subject to change can be described using the notion of genidentity (genetic identity). Zdzisław Augustynek devoted a number of works to this issue, and Mariusz Grygianiec offered valuable commentaries. Augustynek tried to specify this notion by means of axiomatic definitions. He presented three sets of specific...
The results obtained by Zdzisław Augustynek and Mariusz Grygianiec can be supplemented or even corrected in some places. This fact motivated me to analyze systems AS1, AS2, and AS3 once again. The results are presented in two articles. The aim of Part I (Porwolik 2017) was to present the set-theoretic approach to the analysis of Augustynek’s systems and to use the presented method to compare the three...
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