Dear Rob,

You are talking about number theory not time. Time only exists when there is change. Change occurs, as we now know from thermodynamics, because things want to go to equilibrium. If time existed forever, everything would by now have been in equilibrium. It is NOT in equilibrium, or else we would not be here. Thus time must have had a recent (a few billion years ago) starting point. When equilibrium is reached sometime in future, there will be no change anymore; and if there is no change, time cannot be measured and therefore it cannot exist. The only conundrum is to decide whether this equilibrium will be maximum entropy or zero entropy. I vote that it will be zero entropy.

Regards,
Johnny Boy