Resilient oughts

If you press a button, you will receive a delicious cake and a substantial sum of money. Since pressing the button comes at no cost to you or anyone else, your reasons against pushing the button are weak or even non-existent. The fact that you will receive a delicious cake is a strong reason to press the button. The fact that you will receive a substantial sum of money is also a strong reason to press the button. You correctly deduce that you ought to press the button.Footnote ² In this scenario, the ought is quite resilient. That is, even if the circumstances change so that there now is a weak reason against pushing the button (perhaps you will feel slightly nauseous of the sugar rush that the cake will give you), it would still be the case that you ought to press the button. Similarly, even if we removed or weakened one of the reasons to press the button, say by removing or lowering the monetary reward, you still ought to press the button.

The fact that you will receive both delicious cake and a substantial sum of money does not mean that you ‘more ought to’ press the button than if you simply received the delicious cake. Ought is not gradable in this sense. You simply ought to press the button. Still, the deontic situation is different in the case where you only receive delicious cake and the situation where you receive delicious cake and a substantial sum of money. What is different, we argue, is how resilient the ought is.

There are similar examples for the concept of ‘permissibility’. An act cannot be more or less permissible: it is either permissible or not. Yet, for reasons similar to those presented when discussing oughts, permissibility can in one sense be understood to come in degrees since it can be more or less resilient. An act whose permissibility is very resilient is in a sense further away from being impermissible.

Similarly, we encounter resilience when we are dealing with epistemic oughts. It is not unusual that the evidence overdetermines the justified belief. Say that a judge has conclusive reason to believe that it is beyond reasonable doubt that Eija is guilty of the crime in question. The judge ought to have this belief and come to this verdict. The judge can hold the belief with full credence, that is, have an outright belief that Eija is guilty. Now, assume that the technical analysis of the crime scene is admitted to the court as evidence. The technical analysis also points to the fact that Eija is guilty. Even though the judge already ought to believe that Eija is guilty, the addition of the technical analysis makes this epistemic ought even more resilient. It cannot be that the judge ought to hold the belief with a higher credence, since it was already the case that the judge should have a full belief that Eija is guilty. That she ought to hold the belief with full credence is, rather, more resilient – resilient in the sense that more evidence would have to be presented to make it the case that the judge no longer ought to believe that Eija is guilty.Footnote ³

The dimension of resilience is not only to be expected in the deontic domain. We take the deontic domain to be a subset of the more general normative domain.Footnote ⁴ This makes it plausible that resilience plays an important role in the axiological domain as well. A first step has thus been taken to establish evaluative resilience. We will now move on to consider convincing examples of evaluative resilience. These examples are similar to the deontic examples in the sense that the values considered do not come in degrees but are either actualized or not. The notion of resilience allows us to acknowledge that there is another dimension for which these values can fluctuate without necessarily affecting the fact that they are actualized. Which values are binary in this sense is up for debate in the field of normative ethics. Nonetheless, some plausible examples can be given.

Human dignity

Every human has the value of dignity that should be respected. This value is different from the value other beings have in virtue of being able to experience pleasure and suffering. Humans have this value in virtue of our rational capacities and our possibility to lead autonomous lives. Rational capacities are relevant to our human dignity. Bill and Valter differ in their rational capacities but when it comes to their human dignity, they are equally as valuable. The resilience of their dignity can thus depend on their rational capacity and could consequently differ between them and yet we can agree that they both have the value of dignity to the same degree.

It is of course debatable what level of rational capacity is required in order to have human dignity. Regardless of what that level is, we can still imagine someone's rational capacity deteriorating in such a way that it comes closer to the point where it would be, at least, indeterminate whether she retains her human dignity. In the example above, Bill and Valter have the same human dignity, but a greater deterioration of, say, Bill's rational capacity would need to take place for Bill to lose said value than in the case of Valter.

No. 1

Alexander and Gustaf compete in two 100-meter races. In the first race, Alexander wins with an excellent time. Alexander finishes first in the second race as well, albeit this time with a slower time. After the race, Gustaf comments: ‘I almost got you this time, you're not that much better a runner than me’. Alexander replies, ‘A win is a win. How quickly we run relative to each other is relevant to who's number one, but as far as I am concerned, what matters is who won. And my win in this second race is no less a win than my win in the last race’. The artificial value of ‘being No. 1 in a race’ accrues to Alexander in both races. In the second race, however, it is less resilient.

The example of No. 1 can easily be reiterated following a similar structure. A coarse-grained value is determined by a more fine-grained criterion. In the case of the races, we achieve an ordinal scale (placement in the race) based on something that is given in a cardinal scale (run-times). It might be that according to some more fine-grained value, Alexander is less good in the second race, but given the assumed comparison scale, this is irrelevant.

These examples could be accused of being trivial and it could be claimed that there are other ways to account for the phenomenon that the examples highlight. There are, however, much-discussed cases in value theory where the concept of resilience plays an important role and where the accusation of being trivial does not stick. For example, cases that are sometimes explained by referring to the tolerance of the equally as good as relation. The tolerance property of ‘equally as good’ amounts to the fact that for two objects that are equally as good the objects tolerate some evaluative change without causing one of them to be better than the other. That ‘equally as good’ is tolerant can be corroborated by referring to our everyday use of the term. When we use the term, we do not necessarily mean that the things we are comparing are precisely identical in value. We can admit that there is an evaluative difference between objects but this does not amount to the fact that one is better than the other one is. While it has previously not been possible to explain what makes a relation tolerant, the notion of resilience can now fill that explanatory gap. The equally as good as relation is often very resilient and thus it can tolerate evaluative changes. Rather than having to postulate that the equally as good relation differs significantly from other value relations in this respect, we are able to give a better and more general explanation of tolerance by appealing to evaluative resilience.

An idea somewhat similar to the notion of tolerance is the suggestion that comparisons can be ‘clumpy’, which means that it may very well be that two objects are not exactly equally as good but for the comparison at hand, the two objects are sufficiently similar for it to be correct to say that they are equally as good (Hsieh, Reference Hsieh2005; Peterson, Reference Peterson2007). That is, finegrainedness is not always needed and thus we can sort elements in a sequence into clumps and treat elements in this clump as equally as good. Clumpiness was first introduced as a means to account for so-called hard cases. More specifically, Nien-hê Hsieh (Reference Hsieh2005) argues that because there is no need to assume that there are more value comparatives than the ‘at least as good as’ comparative to account for hard cases, the clumpiness of value is sufficient. We find the notion of clumpiness to be interesting since it, from an explanatory point of view, is similar to the concept of ‘resilience’. Adherents of the clumpiness view believe that objects in the clump differ evaluatively from each other and yet they can be treated as equally as good, so far as the views correlate. However, we suggest that the objects not only can be treated as equally as good but also in fact are equally as good. Their evaluative difference ought instead to be accounted for in terms of resilience.Footnote ⁵

We will have reasons to return to the discussion on evaluative resilience and value comparisons later on when we show that resilience can play a helpful role in shedding light on intricate discussions within value theory such as the Small Improvement argument and various spectrum arguments. First, however, we provide a formal account of the resilience of value.

Resilience according to FA

That there are two dimensions of value according to the FA is best illustrated by an example. Consider two objects, x and y. There is a conclusive strong reason to favor x with intensity S and a conclusive weak reason to favor y with intensity S. This is illustrated in Figure 1.

Figure 1. Intensity of attitudes and strength of reasons.

For both objects, the reasons to favor the objects are stronger than those against favoring are. That is, both objects are good.Footnote ¹⁴ Furthermore, since the degree of value is determined by the strength of the attitude it is clear that both x and y are valuable to degree S. Simply put, they are equally as good. One might find this odd since the normative component differs between x and y. For x the normative strength seems robust, that is, a drastic change to the balance of reasons must take place for the overall balance of reason to change while the same cannot be said for y.Footnote ¹⁵

Figure 2 illustrates how this amounts to a dimension of value. At the left-hand side of the horizontal axis, the strength of the reason in favor of x is weaker, and at some point, this reason is outweighed by reasons that are incompatible with favoring x. On the right-hand side of the horizontal axis, the reason to favor x is very strong, making x's value V very resilient.Footnote ¹⁶

Figure 2. Non-valuable and valuable objects.

What we can tell so far is that the resilience of value is not the same as the degree of value. However, what else can be said of this feature of value? Luckily, the FA account gives us some clues on how to understand this feature. According to the account, an object, x, is more resilient in value than an object, y, if and only if a more substantial change to the reasons for favoring x is needed than compared to y in order to change the degree of value of the objects. That is, the strength of the reasons against favoring x can increase (or the strength of the reasons for favoring x can decrease) more than in the corresponding case of y. Roughly put, the more the strength of reasons for and against favoring an object can decrease/increase without a change in value, the more resilient the value of the object is.Footnote ¹⁷

The property of being resilient is thus not fully orthogonal to the property of being valuable. It is the object's value that is resilient. If the value is determined to not be resilient there are two possibilities available: (i) it could mean that the reasons to strongly favor the object just barely outweigh the reasons to favor the object even more strongly, or (ii) it could mean that the reasons to strongly favor the object just barely outweigh the reasons to favor the object less strongly (or not favor it at all). This is illustrated in Figure 3.

Figure 3. Resilient to improvements or worsenings.

In the middle of the horizontal axis the balance of reasons (more or less strongly) favor favoring the object to degree A, and hence has value V. The arrows at the top illustrate the balance of reasons to favor the object with more or less intensity. On the left-hand, side the reasons to favor the object with a less strong intensity, A−, almost outweigh the reasons to favor the object with intensity A. Here the object is close to having a lesser value, V−. Similarly, on the right-hand side the reasons to favor the object with a stronger intensity, A+, almost outweigh the reasons to favor the object with intensity A. Here the object is close to being of greater value, V+. At the far-left side of the axis, the object's value is very resilient in the sense that the object is far from becoming better, but it is not resilient to becoming worse. The opposite will be true for the right-hand side of the illustration and in the middle; the object's value is very resilient in the sense that it is quite stable.

Proof of Concept 1: Resilience or parity in the Small Improvement Argument

By expanding our normative toolbox with the notion of ‘resilience’ it is possible to account for many puzzling results within normative theory. Below we show possible ways in which resilience can account for some of the intuitions that are involved in cases where one is asked to consider a small evaluative change that is being done to an object.

Consider, for example, the Small Improvement Argument that is often invoked in order to reach the conclusion that the standard three value relations, that is, better than, worse than, and equally as good, cannot fully account for all value relations. The argument takes roughly the following form. Imagine A and B, such that A is not better than B nor is B better than A. Furthermore, imagine a slightly improved A, A+. For some value bearers, it is possible that A+ is not better than B. If A and B are equally as good, then A+ must be better than B, and thus we can conclude that A and B are not equally as good (see Chang Reference Chang2002; Gustafsson Reference Gustafsson2013). Examples are then given to show that there are objects that stand in the relation previously described. For example, consider the choice between two different careers, one as a corporate lawyer and one as a philosopher (Chang Reference Chang2002). It is possible to imagine how some can find these careers to be so different that they judge neither to be better than the other. Furthermore, if we improve the legal career by slightly increasing the salary it could still be that this slightly improved career is not better than the philosophical career. It then follows that the two original careers cannot be equally as good. This argument is important if one wants to argue that there are more value relations beyond ‘at least as good’. Perhaps value bearers can be incomparable, or perhaps a fourth, previously overlooked value relation can be instantiated (Chang Reference Chang2002). The concept of resilience allows us to question the Small Improvement Argument in a new way. For purported examples of objects that stand in the relation described by the Small Improvement Argument it is now possible to question whether the evaluative difference between A and A+ actually is to be framed in terms of ‘better than’. The change that transforms A to A+ might better be captured in terms of ‘resilience’. In the example with the two careers, it would be possible to argue that a slight increase in salary does not make the career overall better; it merely becomes more resilient to worsenings. The legal career with an increased salary could still be equally as good as the career in philosophy, but the resilience of their values could differ.

We are not saying that resilience can convincingly block the Small Improvement Argument. Rather we are suggesting that the concept of resilience makes the Small Improvement Argument less straightforward. Adherents of the argument can maintain that there are possible changes to the legal career that would clearly count as an improvement that makes the career overall better. But it can be objected that such an improvement may be so substantial that it would also make the improved legal career better than the philosophy career. Given the theoretical cost of having to postulate a fourth value relation, proponents of the Small Improvement Argument need to show that their small improvements actually make the legal career better rather than making its overall value more resilient to worsenings.

Proof of Concept 2: Imperceptible harms and more or less resilient harms

In cases of imperceptible harms, collective harm, and spectrum cases in general, we all share mutually incompatible intuitions. The key problem is that no individual act seems to make a normatively relevant difference, yet the collection of acts makes a large normative difference. The problem is that on each pairwise comparison the objects are equally as good (or bad). This is for example the case in Parfit's (Reference Parfit1984: 80) harmless torturers case, in which a torturer presses a button that inflicts an imperceptible worsening of the pain suffered by a victim. However, in Parfit's example, there are thousands of torturers who press a button with the result that the victim suffers a perceptible pain. Individually, neither torturer inflicts a perceptible pain, but together they inflict a perceptible pain.

For the individual torturer, pressing the button will not make the outcome worse. Nonetheless, intuitively the torturer has a reason not to press the button. By introducing the notion of resilience, it is possible to accept that the situation is not always made worse by the imperceptible change and still account for how there has been an evaluative change; a change in the value's resilience. Pressing the button makes the neutral situation for the victim less resilient since it requires fewer buttons to be pushed for the situation to become bad. The outcome's value will now be less resilient to worsening.

Of course, introducing the notion of resilience does not solve cases of imperceptible harms but it presents a pattern of explanation that can respect the intuitions involved. Resilience allows us to do this without having to suppose either that every single imperceptible change always makes the situation worse, or that no imperceptible change ever makes the situation worse.

Proof of Concept 3: Is it always rational to be indifferent between two equally good options?

One valuable insight is that the possibility of resilience could give us reason to question the following intuitively plausible principle:

Assume that you are to choose between two options, x and y. Let us assume that x and y are equally as good, but the value of x is more resilient than the value of y. First, we must remind ourselves that the fact that y's value is less resilient than x's says nothing about whether it more easily can become better or worse. All it tells us is that y’s degree of value can withstand less normative change. Let us also assume that y is such that it is not as resilient to worsening as x is. Will this have any implications for what rationality will require us to do?

It is tempting to claim that it is preferable to opt for x. In some sense, it seems to be the safer alternative. It is, however, unclear why it is tempting and in what sense it is safer. In order for it to be preferable, x needs to have a choice-theoretic advantage over y. If it has a choice-theoretic advantage, however, it also seems natural to suppose that x is better than y, but ex hypothesi, x and y are equally as good and x's value being more resilient than y's does not affect how valuable x is. If we want to claim that x nonetheless has a choice-theoretic advantage over y, we need to deny that all choice-theoretic advantages make an option better. In other words, we would need to reject Optimality. Rejecting Optimality would be a radical position. Given the current state of evidence, it is not one we advise accepting.

The intuition seems to be that it is reasonable to opt for the alternative that is more resilient to worsenings if two alternatives are equally as good because it is in some sense safer. The question is in what sense it is safer. The intuition that it is safer, however, might simply be due to a confusion – conflating risk and expected value with resilience. One alternative's value being more resilient to worsenings does not mean that it has a higher expected value. It means that a larger normative change would need to occur in order for the alternative's value to lessen. An alternative's value being very resilient, however, might frequently correlate with the alternative being low risk, under the assumption that small normative changes are more likely than large normative changes. Given that the alternatives are stipulated to be equally as good, any risk-related considerations are already accounted for, and so treating resilience to worsenings as making the alternative safer is likely to be a case of double-counting the risk.

To give an account of the aforementioned intuition, and thereby show that it is distinct from intuitions about risk and expected value, is an intriguing challenge for normative theories on rational choice, but it is beyond the scope of this article.