demiac

That is true. There are (at least) two impossible paths the events can go: we have infinite amount of money, or time stops at 1. It has a concern to anyone with a head for reality who chooses so, and the solution these look for is that the problem is arbitrary. I really don't know the answer to either. If a series of events has an impossible event (when t=1), do the other events really happen either?

Time 1 happens when the machine runs for a second. At this point both options have given you an amount of money that are sums of diverging series: infinite. Infinity is not defined well enough, so it doesn't matter which do you choose, you get a undefined amount of money anyway.