Most value functions that grow without bound like logarithms or even log log x also tend to infinity, though for you personally, you might think that the value of existence of happy people is bounded, but this isn’t true for at least some people (not including myself in the sentence here), so the argument still doesn’t work.
Most value functions that grow without bound like logarithms or even log log x also tend to infinity, though for you personally, you might think that the value of existence of happy people is bounded, but this isn’t true for at least some people (not including myself in the sentence here), so the argument still doesn’t work.