A REPLY TO THE CRITICS
In this paper, I answer the critical remarks of opponents. I consider several thought experiments with “Benacerraf’s genie”. Those thought experiments show that under certain circumstances we have good reasons for recognizing that a moving object exists in time and space and outside of them in turn, demonstrating “twinkling existence”. The counterintuitiveness of “twinkling existence” (or “double ontology”) can be used as an argument in favor of the unacceptability of the assumptions about the properties of time and space used in Russell’s theory of motion.