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Yes, the odds of winning are 1/175M. But the odds of winning without a ticket are exactly zero, which is inifnitely smaller than 1/175M. Also, they run these lotteries until someone wins, which means SOMEONE has to win. That someone could be you if you buy a ticket. It CAN'T be you if you don't.
Me? I never buy lottery tickets. My life is pretty good. Not wealthy, but rich.
Clearly, that's a stupid idea. So, the notion of eternity is not a good one, as it leads to fucked up contradictions and bizarrities. For example, if the universe is infinite, and it does repeat periodically, then the repetition itself is periodic and is itself a repetition. So, if we have infinite time, time ceases to exist.
So when my laptop fries up I can't repair it with my Snap-On collection of wrenches. So, when something like a laptop fries, I go buy another one. I never buy new - I buy used ones for cheap. I'm not going to fix my laptop or microwave oven or telephone. To imply that I should is stupid.
If that kind of throw-away society is suboptimal for the professor, then the problem is the *throw-away society*, not some deskilling operation.