Time is a dimension of our finite universe and therefore also finite. There is no eternity, no infinite time, within a universe that began and will end.
There is an infinite reality that lies beyond this universe. It is 'extratemporal.' It is outside of time or, more properly, time (and our universe) is within it (using 'within' loosely, as the word implies spatial dimensions). The infinite is not governed by time nor any of the laws and limitations of this (or any other) finite universe.
Yet, as part of infinite being, it could be argued that time shares in that infinitness. In this respect, perhaps, one could speak of eternity. Although our universe has a start and finish, those events are measured only by the time that exists as an intrinsic part of the universe.
And our universe, finite though it may be within itself, is one of an infinte number of universes that can and must be. It is a part of the infinite which knows no time. Is that the same as being eternal?
I would say no, by the strict meaning of eternity, but the end result is much the same. It 'goes on,' just not through time as we know (or try to know) it.
Stephen Brooke ©2011