> > Hatto von Aquitanien wrote: >> Gene Ward Smith wrote: >> > Hatto von Aquitanien wrote: > >> >> If we consider the >> >> set of integers rather than natural numbers, I ask what it means to >> >> rotate the members of that set to the left or right. >> > >> > Your question is gibberish. >> >> The question has clear meaning when discussing finite ordered sets. > > Sets are not ordered, nor are the integers finite. Your question is > gibberish.
They are when I specifically stated that the set under discussion were well ordered, and even posted a formal definition of what well ordered means.
"With a *well* *ordered* *finite* *set* , we can count from either end. Reversing the order makes sense, etc. We can't do that with infinite sets."
> If you >> don't understand what it means, the I will be happy to explain it to you. >> This might help: >> >> http://documents.wolfram.com/mathematica/functions/RotateLeft > > You understand very little, and certainly not how ignorant you are. If > you want to talk about tuples, then you must say so. You cannot simply > call them sets because you feel like it, because you are so arrogant > that you think other people should adopt your usages and usen telepathy > to uncover what they are, or simply because you are ignorant > of the real meaning and too dishonest to admit it when called on that. > > You are basically acting like a troll on sci.math, whether that is your > intent or not, and your arrogance and bad manners are not helping.