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Reception of numerical infinities

I am new to this forum and hope this question is appropriate for it (if not let me know). A group of computer scientists associated with numerical analyst Yaroslav Sergeyev have published numerous publications recently on a scheme proposed by Sergeyev that uses terms like Infinity Computer, numerical infinitesimal and numerical infinity, claiming that the approach facilitates the solution of many problems. The mathematicians (as well as logicians) have been for the most part sceptical but there are a few exceptions, such as Elemer Rosinger and Gabriele Lolli. How have these ideas been received by computer science professionals?