Abstract: Without the full axiom of choice, what is difficult is to understand that (m+1) + (m+1) +… with an infinity of terms is not well defined and not aleph zero as stated in :
http://www.math.lsa.umich.edu/~ablass/dpcc.pdf For infinite product, see: A contributed abstract “by title” for the ASL Winter Meeting 2005 2006 in New York (by Adib Ben Jebara) The actual infinite and a cell escaping death The Cartesian product of an infinity of Ui which have m+1 elements each can be the empty set. Does that mean that the cell is dead at the time m+1 moments past (before any change) ?
Keywords: “Adib Ben Jebara’