In regards to time, surely 'infinity' is practically impossible. Since the concept of something neverending means that the number is always unattainable. It continues, infinitely, throughout time, but never can it BE infinite.
At no point in time is something ever 'of infinite value'. But presently, it continues. And it continues. And it continues, always.
Therefore, the only possible infinity able to be 'of infinite value' is one that exists outside time?