All of Ben_P's Comments + Replies

Naturally the T(s) function I posted earlier was wrong. It should have been T(s)=1576800000-0.0002(s-1). However, that doesn't change my question.

The torture decreases linearly simply because there's no reason to decrease it by more; the number of people increases in the way that it does because of the nature of 3^^^3 (i.e. the number is large enough to allow for this)

I don't see how that follows. Even the progression from the first setting to the second setting seems arbitrary. You've established a progression from one scenario (torturing a person for 50 years) to another (3^^^3 dust specks) but to me it just seems like one possible progression. I see no reason to set up the intermediate stages lik... (read more)

Btw, I got the 0.0002 constant by finding the number number of seconds in 50 years and dividing by 7,625,597,484,987 (assuming 365 days per year). It's rounded. The actual number is around 0.00020678.

It has 7,625,597,484,987 settings. On setting 1, 1 person is tortured for 50 years plus the pain of one dust speck. On setting 2, 3 persons are tortured for 50 years minus the pain of (50-year torture/7,625,597,484,987), i.e. they are tortured for a minute fraction of a second less than 50 years, again plus the pain of one dust speck. On setting 3, 3^3 persons, i.e. 27 persons, are tortured for 50 years minus two such fractions of a second, plus the pain of one dust speck. On setting 4, 3^27, i.e. 7,625,597,484,987 persons are tortured for 50 years minus 3... (read more)