11 Feb
2015
11 Feb
'15
11:48 p.m.
----- Once we let this go, "0 divides 0" can probably be true. I'll let those with more breadth of knowledge illuminate this issue. ----- Statements like this are impossible to interpret unless one starts from a definition of what "0 divides 0" *means*. We assume everything is in Z. If "a divides b" means b = a*c for a unique c, then 0 does not divide 0. If it just means b = a*c for at least one c, then 0 does divide 0. I think the authority in this case should be how algebraists define the term. But I'm not stuck on that, as long as you define the term before discussing it. --Dan