"What's the worst that can happen?" goes the optimistic saying. It's probably a bad question to ask anyone with a creative imagination. Let's consider the problem on an individual level: it's not really the worst that can happen, but would nonetheless be fairly bad, if you were horribly tortured for a number of years. This is one of the worse things that can realistically happen to one person in today's world.
What's the least bad, bad thing that can happen? Well, suppose a dust speck floated into your eye and irritated it just a little, for a fraction of a second, barely enough to make you notice before you blink and wipe away the dust speck.
For our next ingredient, we need a large number. Let's use 3^^^3, written in Knuth's up-arrow notation:
- 3^3 = 27.
- 3^^3 = (3^(3^3)) = 3^27 = 7625597484987.
- 3^^^3 = (3^^(3^^3)) = 3^^7625597484987 = (3^(3^(3^(... 7625597484987 times ...)))).
3^^^3 is an exponential tower of 3s which is 7,625,597,484,987 layers tall. You start with 1; raise 3 to the power of 1 to get 3; raise 3 to the power of 3 to get 27; raise 3 to the power of 27 to get 7625597484987; raise 3 to the power of 7625597484987 to get a number much larger than the number of atoms in the universe, but which could still be written down in base 10, on 100 square kilometers of paper; then raise 3 to that power; and continue until you've exponentiated 7625597484987 times. That's 3^^^3. It's the smallest simple inconceivably huge number I know.
Now here's the moral dilemma. If neither event is going to happen to you personally, but you still had to choose one or the other:
Would you prefer that one person be horribly tortured for fifty years without hope or rest, or that 3^^^3 people get dust specks in their eyes?
I think the answer is obvious. How about you?
Okeymaker, I think the argument is this:
Torturing one person for 50 years is better than torturing 10 persons for 40 years.
Torturing 10 persons for 40 years is better than torturing 1000 persons for 10 year.
Torturing 1000 persons for 10 years is better than torturing 1000000 persons for 1 year.
Torturing 10^6 persons for 1 year is better than torturing 10^9 persons for 1 month.
Torturing 10^9 persons for 1 month is better than torturing 10^12 persons for 1 week.
Torturing 10^12 persons for 1 week is better than torturing 10^15 persons for 1 day.
Torturing 10^15 persons for 1 day is better than torturing 10^18 persons for 1 hour.
Torturing 10^18 persons for 1 hour is better than torturing 10^21 persons for 1 minute.
Torturing 10^21 persons for 1 minute is better than torturing 10^30 persons for 1 second.
Torturing 10^30 persons for 1 second is better than torturing 10^100 persons for 1 millisecond.
Torturing for 1 millisecond is exactly what a dust speck does.
And if you disagree with the numbers, you can add a few millions. There is still plenty of space between 10^100 and 3^^^3.
Torturing a person for 1 millisecond is not necessarily even a possibility. It doesn't make any sense whatsoever; in 1 millisecond no interesting feedback loops can even close.
If we accept that torture is some class of computational processes that we wish to avoid, the badness definitely could be eating up your 3^^^3s in one way or the other. We have absolutely zero reason to expect linearity when some (however unknown) properties of a set of computations are involvd. And the computational processes are not infinitely divisible into smaller lengths of time.