|
|||||
|
|
Some properties of infinite factorials |
|
| Abstract: | With the Axiom of Choice  ,  for any infinite cardinal  but, without  , we cannot conclude any relationship between  and  for an arbitrary infinite cardinal  . In this paper, we give some properties of  in the absence of  and compare them to those of  for an infinite cardinal  . Among our results, we show that “ for any infinite cardinal  and any natural number n” is provable in  although “ for any infinite cardinal  ” is not. |
| Keywords: | |