# Supervenience

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In philosophy, supervenience is a kind of dependency relationship, typically held to obtain between sets of properties. According to one standard definition, a set of properties A supervenes on a set of properties B, if and only if any two objects x and y which share all properties in B (are "B-indiscernible") must also share all properties in A (are "A-indiscernible"). That is, A-properties supervene on B-properties if being B-indiscernible implies being A-indiscernible. The properties in B are called the base properties (or sometimes subjacent or subvenient properties), and the properties in A are called the supervenient properties. Equivalently, if two things differ in their supervenient properties then they must differ in their base properties. To give a somewhat simplified example, if psychological properties supervene on physical properties, then any two persons who are physically indistinguishable must also be psychologically indistinguishable; or equivalently, any two persons who are psychologically different (e.g., having different thoughts), must be physically different as well. Importantly, the reverse does not follow (supervenience is not symmetric): even if being the same physically implies being the same psychologically, two persons can be the same psychologically yet different physically: that is, psychological properties are multiply realized in physical properties.

Supervenience has traditionally been used to describe relationships between sets of properties in a manner which does not imply a strong reductive relationship.[1] For example, many hold that economic properties supervene on physical properties, in that if two worlds were exactly the same physically, they would also be the same economically. However, this does not entail that economics can be reduced in any straightforward way to physics. Thus, supervenience allows one to hold that "high-level phenonema" (like those of economics, psychology, or aesthetics) depend, ultimately, on physics, without assuming that one can study those high-level phenomena using means appropriate to physics.

## History Edit

Supervenience, which means literally "coming or occurring as something novel, additional, or unexpected" [1], from "super," meaning on, above or, additional, and "venire," meaning to come, shows occurrences in the Oxford English Dictionary dating back to 1644.

Its systematic use in philosophy is considered to have begun in early 20th-century metaethics and emergentism. As G.E. Moore wrote in 1922, "If a given thing possesses any kind of intrinsic value in a certain degree, then... anything exactly like it, must, under all circumstances, possess it in exactly the same degree" (as cited in [1]). The usage also carried over into the work R. M. Hare. For discussion of the emergentist roots of supervenience see http://plato.stanford.edu/entries/supervenience/#2.2.

In the 1970s Donald Davidson was the first to use the term to describe a broadly physicalist (and non-reductive) approach to the philosophy of mind. As he said in 1970, "supervenience might be taken to mean that there cannot be two events alike in all physical respects but differing in some mental respects, or that an object cannot alter in some mental respects without altering in some physical respects." [2]

In subsequent years Terry Horgan, David Lewis, and especially Jaegwon Kim formalized the concept and began applying it to numerous issues in the philosophy of mind. This raised numerous questions about how various formulations relate to one another, how adequate the formulation is to various philosophical tasks (in particular, the task of formulating physicalism), and whether it avoids or entails reductionism.

## Definitions Edit

In the contemporary literature, there are two primary (and non-equivalent) formulations of supervenience:

1. A-properties supervene on B-properties if and only if all things that are B-indiscernible are A-indiscernible. Formally:
• $\forall x \forall y (\forall B (Bx \leftrightarrow By)) \rightarrow (\forall A (Ax \leftrightarrow Ay))$
2. A-properties supervene on B-properties if and only if anything that has an A-property has some B-property such that anything that has that B-property also has that A-property. Formally:
• $\forall x \forall A (Ax \rightarrow \exists B (Bx \and \forall y (By \rightarrow Ay))$

For example, if one lets A be a set of mental properties, B be a set of physical properties, and chooses a domain of discourse consisting of persons, then (1) says that any two persons who are physically indiscernible are mentally indiscernible, and (2) says that any person who has a mental property has some physical property such that any person with that physical property has that mental property.

Some points of clarification. First, the definitions above involve quantification over properties and hence higher order logic. Second, in (1), expressions of the form $(\forall X (Xx \leftrightarrow Xy))$ capture the concept of sharing all properties, or being indiscernible with respect to a type of property. Thus, (1) can be understood more intuitively as the claim that all objects that are indiscernible with respect to a base set of properties are indiscernibile with respect to a supervenient set of properties, or, as it is also sometimes said, that B-twins are A-twins. Finally, supervenience claims typically involve some modal force, however, the way that modal force is specified depends on which more specific variety of supervenience one decides upon (see below).

(1) and (2) are sometimes called "schemata", because they do not correspond to actual supervenience relations until the sets of properties A and B, the domain of entities to which those properties apply, and a modal force have been specified. For modal forms of supervenience, the modal strength of the relation is usually taken to be a parameter (that is, the possible worlds appealed to may be physically possible, logically possible, etc.). Also, note that in the early literature properties were not always central, and there remain some who prefer to frame the relation in terms of predicates, facts, or entities instead, for example.

## Varieties of supervenience Edit

There are many varieties of supervenience proposed in the philosophical literature, thanks in part to what David Lewis called the "unlovely proliferation"[3] which occurred beginning in the 1980s, inspired largely by Jaegwon Kim's work. These varieties are based both on (1) and (2) above, but since (1) is more common we shall focus on varieties of supervenience based on it.

We can begin by distinguishing between local and global supervenience:

• Local: For any two objects x and y, if x and y are base-indiscernible, they are supervenient-indiscernible.

For example, if mental states locally supervene on brain states, then being in the same brain state entails being in the same mental state.

• Global: For any two worlds w1 and w2, if w1 and w2 are base-indiscernible, they are supervenient-indiscernible.

For example, if psychological properties globally supervene on physical properties, then any two worlds physically the same will be psychologically the same. The value of global supervenience is that it allows for supervenient properties to be determined not by local properties of an individual thing alone, but by some wider spatiotemporal distribution of things and properties. For example, something's being a dollar bill depends not only on the paper and the inks it is made out of, but also on a widely dispersed variety of features of the world it occupies.

Both local and global supervenience come in many forms. Local supervenience comes in strong and weak varieties:

• Weak: For any world w, and for any two objects x in w and y in w, if x and y are base-indiscernible, they are supervenient-indiscernible.
• Strong: For any worlds w1 and w2, and for any two objects x in w1 and y in w2, if x and y are base-indiscernible, they are supervenient-indiscernible.

The difference is essentially whether correlations between base and supervenient properties hold within worlds only, or across possible worlds. For example, if psychological properties strongly locally supervene on physical properties, then any two people physically the same, in any two worlds, will also be psychologically the same. On the other hand, if psychological properties only weakly locally supervene on physical properties, then those correlations between base and supervenient properties that hold in virtue of the supervenience relation are maintained within each world, but can be different in different worlds. For example, my physical duplicates in the actual world will have the same thoughts as I have; but my physical duplicates in other possible worlds may have different thoughts than I have in the actual world.

There are also several kinds of global supervenience relations, which were introduced to handle cases in which worlds are the same at the base level and also at the supervenient level, but where the ways the properties are connected and distributed in the worlds differ. For example, it is consistent with global mental–physical supervenience on the simple formulation described above for two worlds to have the same number of people in the same physical states, but for the mental states to be distributed over those people in different ways (e.g. I have my father's thoughts in the other world, and he has my thoughts). To handle this, property-preserving isomorphisms (1-1 and onto functions between the objects of two worlds, whereby an object in one world has a property if and only if the object which that function takes you to in the other world does) are used, and once this is done, several varieties of global supervenience can be defined.

Other varieties of supervenience include multiple-domains supervenience and similarity-based supervenience.

## Examples of supervenient propertiesEdit

### Value propertiesEdit

The value of a physical object to an agent is sometimes held to be supervenient upon the physical properties of the object. In aesthetics, the beauty of La Grande Jatte might supervene on the physical composition of the painting (the specific molecules that make up the painting), the artistic composition of the painting (in this case, dots), the figures and forms of the painted image, or the painted canvas as a whole. In ethics, the goodness of an act of charity might supervene on the physical properties of the agent, the mental state of the agent (his or her intention), or the external state of affairs itself. Similarly, the overall suffering caused by an earthquake might supervene on the spatio-temporal entities that constituted it, the deaths it caused, or the natural disaster itself.

### Mental propertiesEdit

In philosophy of mind, many philosophers make the general claim that the mental supervenes on the physical. In its most recent form this position derives from the work of Donald Davidson, although in more rudimentary forms it had been advanced earlier by others. The claim can be taken in several senses, perhaps most simply in the sense that the mental properties of a person are supervenient on their physical properties. Then:

• If two persons are indistinguishable in all of their physical properties, they must also be indistinguishable in all of their mental properties.

An alternative claim, advanced especially by John Haugeland, is a kind of weak local supervenience claim; or, weaker still, mere global supervenience. The claim that mental properties supervene globally on physical properties requires only a quite modest commitment: any difference between two possible worlds with respect to their instantiated mental properties entails at least some difference in the physical properties instantiated in those two worlds. Importantly, it does not require that the mental properties of an individual person supervene only on that person's physical state.

This weak global thesis is particularly important in the light of direct reference theories, and semantic externalism with regard to the content both of words and (more relevant to our concerns here) of thoughts. Imagine two persons who are indistinguishable in their local physical properties. One has a dog in front of his eyes and the other has a dog-image artificially projected onto his retinae. It might be reasonable to say that the former is in the mental state of seeing a dog (and of knowing that he does so), whereas the latter is not in such a state of seeing a dog (but falsely believes that he sees one).

There is also discussion among philosophers about mental supervenience and our experience of duration. If all mental properties supervene only upon some physical properties at durationless moments, then it may be difficult to explain our experience of duration. The philosophical belief that mental and physical events exist at a series of durationless moments that lie between the physical past and the physical future is known as presentism, and is a form of belief in Galilean relativity.

### Computational propertiesEdit

There are several applications of the theory of supervenience to be found in computer networking. For example, in a dial-up internet connection, the audio signal on a phone line transports IP packets between the user's computer and the Internet service provider's computer. In this case, the arrangement of bytes in that packet supervenes on the physical properties of the phone signal. More generally, each layer of the OSI Model of computer networking supervenes on the layers below it.

These computer examples illustrate a general principle: we can find supervenience wherever a message is conveyed by a representational medium. When we see a letter "a" in a page of print, for example, the meaning latin lowercase "a" supervenes on the geometry of the boundary of the printed glyph, which in turn supervenes on the ink deposition on the paper.

## Arguments against supervenience-based formulations of physicalismEdit

Although supervenience seems to be perfectly suited to explain the predictions of physicalism (i.e. the mental is dependent on the physical), there are four main problems with it. They are Ephiphenomenal ectoplasm, the lone ammonium molecule problem, modal status problem and the problem of necessary beings.

### Epiphenomenal ectoplasm Edit

Epiphenomenal ectoplasm was proposed by Horgan and Lewis in 1983, in which they stated, a possible world (a world that could possibly exist) W is identical to our world in the distribution of all mental and physical characteristics (i.e. they are identical), except world W contains an experience called epiphenomenal ectoplasm that does not causally interact with that world. If supervenience physicalism is true, then such a world could not exist because a physical duplicate of the actual world (the world that is known to exist) could not possess an epiphenomenal ectoplasm. This was rectified by Frank Jackson, by adjusting the application of supervenience within physicalism to state "Physicalism is true at a possible world W if and only if any world which is a minimal physical duplicate (i.e. identical) of W is a duplicate of W simpliciter."

### The lone ammonium molecule problem Edit

The lone ammonium molecule problem provides a problem for Jackson's solution to epiphenomenal ectoplasm. It was proposed by Jaegwon Kim in 1993 when he stated that according to Jackson's idea of supervenience, a possible world W was identical to the actual world, except it possessed an extra ammonium molecule on one of Saturn’s rings. This may not seem to provide much of a problem, but because Jackson's solution refers only to minimal physical duplicates, this allows for the mental properties of W to be vastly different than in the actual world. If such a difference would cause mental differences on Earth, it would not be consistent with our understanding of physicalism.

### Modal status problem Edit

The modal status problem is only problematic if one thinks of physicalism as a contingent truth (i.e. not necessary), because it is described in terms of modal notions (i.e. through modal realism). The problem is presented when from the statement "Minimal physical truths entail all truths", one derives the statement "S (a statement that describes all minimal physical truths) entails S* (a statement that describes the world)". This statement is a necessary truth, and therefore supervenience physicalism could not be contingent. The solution to this is to accept the above statement not as the equivalent of physicalism, but as an entailment of it.

### Problem of necessary beings Edit

The problem of necessary beings was proposed by Jackson in 1998, in which he stated that a necessary being exists in all possible worlds as a non-physical entity, and therefore proves physicalism false. However, physicalism allows for the existence of necessary beings, because any minimal physical duplicate would have the same mental properties as the actual world. This however is paradoxical, based on the fact that physicalism both permits and prevents the existence of such beings. However, the existence of necessary beings is paradoxical in itself. They are both distinct from the physical world and dependent upon it. This violates Hume's fork which states, "there are no necessary connections between distinct existences".

## NotesEdit

1. 1.0 1.1 1.2 Horgan, Terry (1993) "From supervenience to superdupervenience: meeting the demands of a material world." Mind. 102: 555-86.
2. Davidson, Donald (1970) "Mental Events." Reprinted in Essays on Actions and Events. Oxford: Clarendon Press
3. Lewis, David (1986) On the Plurality of Worlds. Oxford: Oxford University Press.