I agree that as you defined the problems, both have problems. But I don’t agree that the problems are equal, for the reason stated earlier. Suppose someone says that the boundary is that 1,526,216,123,000,252 dust specks is exactly equal to 50 years of torture (in fact, it’s likely to be some relatively low number like this rather than anything like a googleplex.) It is true that proving this would be a problem. But it is no particular problem that 1,526,216,123,000,251 dust specks would be preferable to the torture, while the torture would be preferable to 1,526,123,000,253 dust specks would be worse than the torture: the point is that the torture would differ from each of these values by an extremely tiny amount.
But suppose someone defines a qualitative boundary: 1,525,123 degrees of pain (given some sort of measure) has an intrinsically worse quality from 1,525,122 degrees, such that no amount of the latter can ever add up to the former. It seems to me that there is a problem which doesn’t exist in the other case, namely that for a trillion people to suffer pain of 1,525,122 degrees for a trillion years is said to be preferable to one person suffering pain of 1,525,123 degrees for one year.
In other words: both positions have difficult to find boundaries, but one directly contradicts intuition in a way the other does not.
I’m not totally convinced—there may be other factors that make such qualitative distinctions important. Such as exceeding the threshold to boiling. Or putting enough bricks in a sack to burst the bottom. Or allowing someone to go long enough without air that they cannot be resuscitated. It probably doesn’t do any good to pose /arbitrary/ boundaries, for sure, but not all such qualitative distinctions are arbitrary...
Or allowing someone to go long enough without air that they cannot be resuscitated.
This is less of a single qualitative distinction than you would think, given the various degrees of neurological damage that can make a person more or less the same person that they were before.
Good point… you are right about that. It would be more of a matter of degrees of personhood, especially if you had advanced medical technologies available such as neural implants.
Suppose that the qualitative difference is between bearable and unbearable, in other words things that are over o below the pain tolerance. A pain just below pain tolerance when experienced for a small quantity of time will remain bearable; however, if it is prolonged for lots of time it will become unbearable because human patience is limited. So, even if we give importance to qualitative differences, we can still choose to avoid torture and your second scenario, without going against our intuitions, or be incoherent.
Moreover, we can describe qualitative differences as the colors on the spectrum of visible light: their edges are nebulous but we can still agree that the grass is green and the sea is blue. This means that two very close points on the spectrum appear as part of the same color, but when their distance increases they became part of two different colors.
1,525,122 and 1,525,123 are so close that we can see them as shades of the same qualitative category. On the other hand, dust speck and torture are very distant from each other and we can consider them as part of two different qualitative categories.
To be more precise: let’s assume that the time will be quite short (5 second for example), in this case I think it is really better to let billions of people suffer 5 second of bearable pain than to let one person suffer 5 second of unbearable pain. After all, people can stand a bearable pain by definition.
However, pain tolerance is subjective and in real life we don’t know exactly where the threshold is in every person, so we can prefer, as heuristic rule, the option with less people involved when the pains are similar to each other (maybe we have evolved some system to make such approximations, a sort of threshold insensitivity).
Suppose that the qualitative difference is between bearable and unbearable, in other words things that are over o below the pain tolerance. A pain just below pain tolerance when experienced for a small quantity of time will remain bearable; however, if it is prolonged for lots of time it will become unbearable because human patience is limited. So, even if we give importance to qualitative differences, we can still choose to avoid torture and your scenario, without going against our intuitions, or be incoherent.
Now, let’s assume that the time will be quite short (5 second for example), in this case I think it is really better to let billions of people suffer 5 second of bearable pain than to let one person suffer 5 second of unbearable pain. After all, people can stand a bearable pain by definition.
However, pain tolerance is subjective and in real life we don’t know exactly where the threshold is in every person, so we can prefer, as heuristic rule, the option with less people involved when the pains are similar to each other (maybe we have evolved some system to make such approximations, a sort of threshold insensitivity).
I agree that as you defined the problems, both have problems. But I don’t agree that the problems are equal, for the reason stated earlier. Suppose someone says that the boundary is that 1,526,216,123,000,252 dust specks is exactly equal to 50 years of torture (in fact, it’s likely to be some relatively low number like this rather than anything like a googleplex.) It is true that proving this would be a problem. But it is no particular problem that 1,526,216,123,000,251 dust specks would be preferable to the torture, while the torture would be preferable to 1,526,123,000,253 dust specks would be worse than the torture: the point is that the torture would differ from each of these values by an extremely tiny amount.
But suppose someone defines a qualitative boundary: 1,525,123 degrees of pain (given some sort of measure) has an intrinsically worse quality from 1,525,122 degrees, such that no amount of the latter can ever add up to the former. It seems to me that there is a problem which doesn’t exist in the other case, namely that for a trillion people to suffer pain of 1,525,122 degrees for a trillion years is said to be preferable to one person suffering pain of 1,525,123 degrees for one year.
In other words: both positions have difficult to find boundaries, but one directly contradicts intuition in a way the other does not.
I’m not totally convinced—there may be other factors that make such qualitative distinctions important. Such as exceeding the threshold to boiling. Or putting enough bricks in a sack to burst the bottom. Or allowing someone to go long enough without air that they cannot be resuscitated. It probably doesn’t do any good to pose /arbitrary/ boundaries, for sure, but not all such qualitative distinctions are arbitrary...
This is less of a single qualitative distinction than you would think, given the various degrees of neurological damage that can make a person more or less the same person that they were before.
Good point… you are right about that. It would be more of a matter of degrees of personhood, especially if you had advanced medical technologies available such as neural implants.
Suppose that the qualitative difference is between bearable and unbearable, in other words things that are over o below the pain tolerance. A pain just below pain tolerance when experienced for a small quantity of time will remain bearable; however, if it is prolonged for lots of time it will become unbearable because human patience is limited. So, even if we give importance to qualitative differences, we can still choose to avoid torture and your second scenario, without going against our intuitions, or be incoherent.
Moreover, we can describe qualitative differences as the colors on the spectrum of visible light: their edges are nebulous but we can still agree that the grass is green and the sea is blue. This means that two very close points on the spectrum appear as part of the same color, but when their distance increases they became part of two different colors.
1,525,122 and 1,525,123 are so close that we can see them as shades of the same qualitative category. On the other hand, dust speck and torture are very distant from each other and we can consider them as part of two different qualitative categories.
To be more precise: let’s assume that the time will be quite short (5 second for example), in this case I think it is really better to let billions of people suffer 5 second of bearable pain than to let one person suffer 5 second of unbearable pain. After all, people can stand a bearable pain by definition.
However, pain tolerance is subjective and in real life we don’t know exactly where the threshold is in every person, so we can prefer, as heuristic rule, the option with less people involved when the pains are similar to each other (maybe we have evolved some system to make such approximations, a sort of threshold insensitivity).
Suppose that the qualitative difference is between bearable and unbearable, in other words things that are over o below the pain tolerance. A pain just below pain tolerance when experienced for a small quantity of time will remain bearable; however, if it is prolonged for lots of time it will become unbearable because human patience is limited. So, even if we give importance to qualitative differences, we can still choose to avoid torture and your scenario, without going against our intuitions, or be incoherent. Now, let’s assume that the time will be quite short (5 second for example), in this case I think it is really better to let billions of people suffer 5 second of bearable pain than to let one person suffer 5 second of unbearable pain. After all, people can stand a bearable pain by definition. However, pain tolerance is subjective and in real life we don’t know exactly where the threshold is in every person, so we can prefer, as heuristic rule, the option with less people involved when the pains are similar to each other (maybe we have evolved some system to make such approximations, a sort of threshold insensitivity).