Though note that some doubt that the von Neumann hierarchy has a level 6.
-
-
Show this threadThanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
In ZFC without Replacement, the number of functions from an N-element set to an M-element set is M * (M - 1) * ... * (M - (N - 1)).
-
You mean injective functions, for finite M,N? True, but does it relate to the von Neumann hierarchy just keeping going?
-
I mean just a dumb joke about permutations vs. combinations (which may be the same joke you were making for all I know, but I couldn't quite figure it out.)
-
Oh! I did not get it at first. I wasn't really making a joke, just noting that the axiom of replacement is what prevents the ordinals from stopping at some point that can be described from below.
End of conversation
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.