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Which is better: a guarantee of a modest amount of moral value, or a tiny probability of arbitrarily large value? To prefer the latter seems fanatical. But, as I argue, avoiding such fanaticism brings severe problems. To do so, we must (1) decline intuitively attractive trade-offs; (2) rank structurally identical pairs of lotteries inconsistently, or else admit absurd sensitivity to tiny probability differences; (3) have rankings depend on remote, unaffected events (including events in ancient Egypt); and often (4) neglect to rank lotteries as we already know we would if we learned more. Compared to these implications, fanaticism is highly plausible.