Hello brimstone,
Thank you for taking a look! I understand that "trait equalizable" may have several definitions, and was going to look at the parallel universe interpretation as well. But, I was also interested in whether or not there might be problems with my interpretation. I think that some of my criticisms, primarily the ideas about compound properties, might be applicable to a parallel universe view as well, primarily because traits seem to be analyzed in an iterative fashion in the parallel universe approach as well.
But, I wanted to get an idea on whether or not there may be flaws in the analysis of the definition I proposed because I think it's a little easier to understand. In any event, I've copied the paper below:
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Preliminaries ---
The term “trait-equalizable” appears in the formal Name the Trait argument, however the term does not appear to be rigorously defined. This paper is proposing a rigorous definition for trait equalization that is consistent with the claims made in Peter Singer’s Marginal Cases Argument. I am going to use the IEP version of the argument (
https://www.iep.utm.edu/anim-eth/#SH3a):
S1. In order to conclude that all and only human beings deserve a full and equal moral status (and therefore that no animals deserve a full and equal moral status), there must be some property P that all and only human beings have that can ground such a claim.
S2. Any P that only human beings have is a property that (some) human beings lack (e.g., the marginal cases).
S3. Any P that all human beings have is a property that (most) animals have as well.
S4. Therefore, there is no way to defend the claim that all and only human beings deserve a full and equal moral status.
Before proceeding, I also want to clarify one thing. The above formulation of Singer’s argument refers to moral status. According to SEP (
https://plato.stanford.edu/entries/grou ... al-status/),
moral status can be grounded only by an entity’s intrinsic value. So, I will attempt to create a set theoretic approach to describe intrinsic value, and use this as the basis for trait equalization.
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Introduction ---
In “Animal Liberation”, Peter Singer explains that certain intrinsic properties, such as skin color, have wrongly been used as the basis for discrimination. He also acknowledges that there are certain properties, such as intelligence and moral agency, that are present in some humans, but not in nonhuman animals, that may account for the assertion that a specific human has more intrinsic value than all non-human animals. But, he further argues that not all humans possess such a trait. To make this more concrete, suppose that the intrinsic value of an entity can be described by a set of properties. For example:
Intrinsic value of adult: { sentience, moral agency, … }
Intrinsic value of human infant: { sentience }
Intrinsic value of pig: { sentience }
The assertion that there are some humans (infants) that do not possess a property P that distinguish them from animals (the pig) can be formally verified by examining a set of morally relevant properties that contribute to the intrinsic value of an entity. With this in mind, I’m proposing a set based approach that can be used to evaluate the intrinsic value of an entity. When I say morally relevant, I’m acknowledging Singer’s assertion that certain properties do not contribute to the intrinsic value of an entity, therefore they should not be included in the set that corresponds to an entity’s intrinsic value.
For this formalization to be useful, we have to be willing to accept the presumption that a set of properties that can contribute to an entities intrinsic value can be constructed. For example, maybe the set is { sentience, moral agency, empathy }. How this set is constructed is not addressed here — it’s a question for the philosophers. But, I think that Singer would agree that such a set exists. Second, we must also presume that an entity can be described by a set of properties, some of which contribute to its intrinsic value, some of which do not.
One important note: when I say that a property contributes to the intrinsic value of an entity, it can do so in a positive or negative fashion. For example, since the properties that are used to describe the intrinsic value of an adult human is different from the set that is used to describe the human infant, this paper will draw no conclusions about which is of more intrinsic value. It’s possible that moral agency contributes negatively to the intrinsic value of the adult and to use this to conclude that the infant has more intrinsic value. However, since the set of properties used to describe both the pig and human infant are identical, we will presume that the intrinsic value of each is also identical.
With that in mind, I’m going to propose the following definitions:
1) Let M represent the set of all morally relevant properties that can contribute to an entity’s intrinsic value. For example, M = { sentience, sapience, empathy, moral agency, … }.
2) Each entity can be represented by a set of properties. For example, a pig can be represented by a set that includes sentience, various physical properties, etc. An adult human can be represented by the set that includes moral agency, intelligence, sentience, empathy, various physical traits, etc. We will call the set of properties that can be used to describe an entity as the entity’s traits.
3) We will define the intrinsic value of an entity as the intersection of the entity’s traits and M.
4) We will say that two entities are trait equalizable if the intrinsic value of each entity is identical.
5) We will call any process that can be used to properly determine if two entities are trait equalizable a trait equalization process.
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Example of TEP ---
Suppose we define M = { sentience, moral agency, empathy }. We wish to evaluate whether or not a pig is trait equalizable to a specific human. We’ll try two humans: an adult and an infant. First, we define the traits of each entity:
Pig traits = { sentience, tough skin, … }
Infant traits = { sentience, soft skin, … }
Adult traits = { sentience, moral agency, empathy, not so soft skin but not tough either, … }
Next, we calculate the intrinsic value of each: the intersection of an entity’s traits with M:
Pig intrinsic value = { sentience }
Infant intrinsic value = { sentience }
Adult intrinsic value = { sentience, moral agency, empathy }
Then we compare the intrinsic values of each entity. Note that the pig and infant are trait equalizable, but the pig and the adult are not. Suppose there is a correspondence between an entity’s traits and whether or not the entity has moral status. Since some infants are trait equalizable to pigs, if we claim that infants have moral status, we must also conclude that pigs should also have moral status.
One thing to note: the calculation of an entity’s intrinsic value is an atomic operation in this example. In other words, we do not calculate intrinsic value in an incremental fashion. I’ll have a bit more to say about this in the section titled “Metamorphosis”.
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Deriving Contradictions ---
Trait equalization may be useful when trying to determine our obligations to an entity. If our obligations to an entity are grounded by their claim to moral status, and the moral status can be determined by the entity’s intrinsic value, the entity’s intrinsic value corresponds to our obligations.
For example, if an infant has full moral status, and the grounds for this full moral status is intrinsic value { sentience }, then any other entity with the intrinsic value of { sentience } should also have full moral status, and a claim to the same obligations as the infant. With that said:
Premise 1: We have an obligation to not harm any entity that has full moral status.
If we accept this premise, we must also accept that we have a moral obligation not to harm an entity with intrinsic value of { sentience }. So, suppose we agree with premise 1. We can use the trait equalization process to demonstrate that both the infant and the pig have equal intrinsic value. If they do, we have a moral obligation not to harm either. Any other conclusion would be inconsistent in this framework.
But, it is very important to note that Premise 1 assumes the obligation not to harm is based on moral status, and thus, intrinsic value. If the grounds for this obligation includes reasons other than the intrinsic value of an entity, Premise 1 is in dispute, and we can make no claims to inconsistency.
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Metamorphosis ---
When we calculate the intrinsic value of an entity, the evaluation is performed atomically. However, it is possible to view it as a process of elimination, where we remove properties one by one from our set of traits. For example, suppose M = { sentience, moral agency } and a human’s traits are: { sentience, moral agency, hair color, eye color }. We can perform a series of incremental changes:
{ sentience, moral agency, hair color, eye color } — is eye color in M? No, so remove it.
{ sentience, moral agency, hair color } — is hair color in M? No, so remove it.
{ sentience, moral agency } — at this point, the remaining traits are in M, so we have calculated the intrinsic value of the adult.
There is nothing problematic about this approach if we keep in mind the we do not attempt to evaluate trait equalization until we have completed the iterative process. To show why this is important, I’m going to re-visit Singer’s argument.
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Marginal Cases Revisited ---
Singer states that we cannot claim that every human has full moral status and also deny animals a full moral status unless there is a single property P present in every human to ground such a claim. This is actually inaccurate. There may be several such properties. For example, suppose there exist properties P1 and P2 that contribute to intrinsic value, and:
intrinsic value of infants: { sentience, P1 }
intrinsic value of all other humans: { sentience, P2 }
intrinsic value of pig: { sentience }
Further suppose that P1 and P2 are not present in any animal. Then there are two properties that can ground the claim that every human has moral status while denying this claim to animals.
Why is this important? Recall, we previously described the intrinsic value of human adults and infants as:
Infant intrinsic value = { sentience }
Adult intrinsic value = { sentience, moral agency, empathy }
If the intrinsic value of an entity corresponds to an obligation not to harm the entity, it is tempting to conclude that the property sentience corresponds to this obligation because it is the only property that an infant and an adult have in common. It would also be tempting to claim that we could arrive at this conclusion by process of elimination.
However, this is not justified by the framework laid out in this paper. Suppose that P1 and P2 exist. If we want to examine P1 to determine if it is the reason for obligation not to harm, we could conclude no, because it is not present in “all other humans”. If we want to examine P2 to determine if it is the reason for the obligation not to harm, we could also conclude no, because it is not present in infants. In this way we might claim that sentience is the only reason every human has moral status. However, in the first example, it was shown that every human could have moral status because either P1 or P2 is present in every human.
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Other Compound Properties ---
Suppose we include the property “potential for moral agency” in the list of morally relevant properties. One of the arguments I’ve run across is that if this is the property that grounds moral status, then a non-sentient fetus must also have moral status. But, let’s look at some intrinsic values:
non-sentient fetus: { potential for moral agency }
infant: { sentience, potential for moral agency }
animal: { sentience }
It should be clear that all of these entities have different intrinsic values. The non-sentient fetus lacks sentience, whereas the animal lacks the potential for moral agency. Only the infant has both properties. In this case, the presence of two properties may be the grounds for moral status.
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Name the Trait ---
I’ve run into several types of arguments that seem to be inspired by name the trait that I have problems with. I’m going to describe how my definition of trait equalization is incompatible with these types of arguments.
First, there is the “human slowly transforms into a pig” argument. The ideas laid out in this paper do not support such an argument. It’s important to keep in mind that this paper’s approach is intended to evaluate the intrinsic value of two entities and compare the intrinsic values for equality. It is not the case that one entity is slowly transformed into another by removal/replacement of specific properties. In fact, only a subset of properties participates in the evaluation of equality, so we’re not even comparing the entities themselves.
A second type of argument is the process of elimination type argument. For example, name a trait that distinguishes an animal from a human with respect to treatment. I say moral agency. Moral agency is not present in infants, so it cannot play a role in making the distinction. I’ve provided a counter example to demonstrate why this may not be the case.
Another problem is the role of non-intrinsic traits. For example, suppose our obligation not to harm a human is grounded in social contract theory. The usual “reductio” is to say, well, the trait is “people capable of participating in a social contract”. While this trait may contribute to the intrinsic value of an entity, it is not the same thing as social contract theory. One is an intrinsic trait, while the other is a branch of normative ethics. There is no logical basis for equating the two.
Finally, the biggest problem with name the trait. Suppose I name the trait of moral agency. In order to examine this trait, we would need to select a human that possesses this trait. For example a human adult. When you compare a human adult with an animal, the human adult is not trait equalizable to an animal because the adult possesses the trait of moral agency. At this point, I suppose we could then point out that infants do not possess the trait of moral agency. This is simply stating what Singer has already stated in the marginal cases argument. So, is there really a need for name the trait? Does it really add any value to the conversation?
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Potential Problems with the Definition ---
Suppose a bear wanders into a village. I think most people would consider it morally acceptable to kill the bear. But, suppose an infant wandered into a village. We would not consider it morally acceptable to kill the infant. One obvious explanation is when we kill the bear, we are protecting the villagers. This is a non-intrinsic reason. But, let’s take a look at how we might define the intrinsic value of the bear and infant:
intrinsic value of infant: { sentience, lacks moral agency }
intrinsic value of bear: { sentience, lacks moral agency }
Once again both are trait equalizable. But, is it possible the infant has more intrinsic value than the bear? Yes. Suppose the lack of moral agency in the bear is more meaningful because the bear is physically capable of harming the villagers, and less meaningful in the infant because the infant is not capable of harming the villagers. This would mean that, just because two entities are trait equalizable, they still may not have the same intrinsic value. If this is the case, my approach cannot be used to formally evaluate Singer’s argument. In fact, there may a problem with Singer’s argument because the two entities would have different intrinsic value even though the infant does not possess a property P that the bear does not possess.
It is possible to resolve this by adding another property: “physically capable of harming others”. But, it is counterintuitive to include a physical property in the set of properties that contributes to intrinsic value. We would never accept skin color or eye color as a trait that contributes to intrinsic value. Since this evaluation process is dependent on properly defining the set of morally relevant properties, and we may leave out properties that are seemingly unrelated to intrinsic value, how effective is it in determining our moral obligations?