Identity and change
Encyclopedia
The relationship between identity and change in the philosophical
Philosophy
Philosophy is the study of general and fundamental problems, such as those connected with existence, knowledge, values, reason, mind, and language. Philosophy is distinguished from other ways of addressing such problems by its critical, generally systematic approach and its reliance on rational...

 field of metaphysics
Metaphysics
Metaphysics is a branch of philosophy concerned with explaining the fundamental nature of being and the world, although the term is not easily defined. Traditionally, metaphysics attempts to answer two basic questions in the broadest possible terms:...

 seems, at first glance, deceptively simple, and belies the complexity of the issues involved. This article explores "the problem of change and identity".

Change

When an object changes, it always changes in some particular way. A baby grows up, and so changes in respect of size and maturity; a snake sheds its skin, and so changes in respect of its skin. "Change" may therefore be defined as follows:
An object, O, changes with respect to property
Property
Property is any physical or intangible entity that is owned by a person or jointly by a group of people or a legal entity like a corporation...

, P, if and only if O has P at one time, and at a later time, O does not have P.


That seems to be, in one way, what it means for a thing to change: it has a property at one time, and later it does not have that property. If a banana becomes brown, it can then be said: at one time, the banana is yellow; several days later, the banana is not yellow, but is instead brown. This appears fairly straightforward at this point, and there are no apparent problems as yet.

Another way for an object to change is to change its parts.
An object, O, changes with respect to its part, P, if and only if O has the part P at one time, and at a later time, O does not have P.


Some philosophers believe that an object can't persist through a change of parts. They defend mereological essentialism
Mereological essentialism
Mereological essentialism is a philosophical thesis about the relationship between wholes and its parts, and the conditions for their persistence...

.

Problem of change

The question then arises as to what sort of change happens after a thing is destroyed? When a person dies, one does not say that the person's life has changed. Neither does one go around saying, "Harry just isn't the same sort of guy since he died." Instead, one says that Harry's life has ended. Similarly, when a building is demolished, one does not say that the building 'changes'; one says that it is destroyed. So what sort of events, on the one hand, result in a mere change, and what sort of events, on the other hand, result in a thing's destruction — in the state of its existence
Existence
In common usage, existence is the world we are aware of through our senses, and that persists independently without them. In academic philosophy the word has a more specialized meaning, being contrasted with essence, which specifies different forms of existence as well as different identity...

? This is one aspect of the problem that will be considered here. It is called "the problem of change and identity".

The Ship of Theseus

The "problem of change and identity" is generally explained with the story of the Ship of Theseus
Ship of Theseus
The Ship of Theseus, also known as Theseus' paradox, or various variants, notably grandfather's axe and Trigger's Broom is a paradox that raises the question of whether an object which has had all its component parts replaced remains fundamentally the same object.The paradox is most notably...

:
In ancient times, there was a ship, called the "Theseus
Theseus
For other uses, see Theseus Theseus was the mythical founder-king of Athens, son of Aethra, and fathered by Aegeus and Poseidon, both of whom Aethra had slept with in one night. Theseus was a founder-hero, like Perseus, Cadmus, or Heracles, all of whom battled and overcame foes that were...

" after its famous former owner. As the years wore on, the Theseus started getting weak and creaky. The old boards were removed, put into a warehouse
Warehouse
A warehouse is a commercial building for storage of goods. Warehouses are used by manufacturers, importers, exporters, wholesalers, transport businesses, customs, etc. They are usually large plain buildings in industrial areas of cities and towns. They usually have loading docks to load and unload...

, and replaced with new ones. Then, the mast
Mast (sailing)
The mast of a sailing vessel is a tall, vertical, or near vertical, spar, or arrangement of spars, which supports the sails. Large ships have several masts, with the size and configuration depending on the style of ship...

s started tottering, and soon they, too, were warehoused and replaced. And in this way, after fifty years, this ship now has all new boards, masts, and everything. The question then arises: Is the ship in the harbor, now called S2, the same ship as the ship that was in the harbor, fifty years ago (called S1, for convenience)? In other words, is S2 really the "Theseus"?


There is one answer which is a little too easy and quick. One might say: "No, of course not. The Theseus has changed a lot, so it's not the same ship. At the end of your life, you're not going to be the same person as you were, when you were a teenager. You're going to change a lot in the meantime." However, this is not quite answering the intended question. What is intended by the question is the sense of the word, "same", in which an old woman is the same person at the end of her life as she is, at the beginning of her life. Certainly, the word, "same", has such a sense. After all, one implicitly depends on it when one says, for example, "She has changed a lot". In order for someone to change a lot, there has to be one person who underwent the change. (One could perhaps reject that sense, saying that objects do not change over time.)

Going back to the definition of "change", an object changes with respect to a property if the object has that property at one time, and at a later time, the object does not have the property. What changes is the fact that the object has a particular property. The only way that that fact can change is if the object remains in existence. One can therefore think of a continuing object as the ground of change, or the arena where change occurs, as it were. To get back to the Theseus, the question is: Has the Theseus merely changed a lot, or is the Theseus gone, being replaced by a new ship?

One may say, "Sure, it's just a refurbished Theseus, greatly changed to be sure, but still the Theseus". If one thinks in this manner, then consider what happens when the story is extended further. Suppose someone buys all the planks, masts and whatever that is stored in the warehouse, and out of all of those materials, and absolutely no others, he builds a ship according to the same plans that were used to build the ship, christened "the Theseus". And this ship, called S3, is launched and sits on the other side of the harbor where S2 is. Is S3 the same as S1? In other words, is this recently-constructed ship, the same ship as the ship originally called the "Theseus", considering that S3 was built out of the same materials, and according to the same plans as S1.

One could take this concept even further by not only the properties but also its subject matter of the "ship". What if instead the warehoused planks, masts, and other materials were used to build something completely different from a ship, like a house. (A concept explored by the artist Simon Starling
Simon Starling
Simon Starling is an English conceptual artist and was the winner of the 2005 Turner Prize. He lives and works in Copenhagen and Berlin, and is a professor of art at the Städelschule in Frankfurt am Main.-Biography:...

, who turned a shed into a working boat and then back into a shed, winning him the 2005 Turner Prize
Turner Prize
The Turner Prize, named after the painter J. M. W. Turner, is an annual prize presented to a British visual artist under the age of 50. Awarding the prize is organised by the Tate gallery and staged at Tate Britain. Since its beginnings in 1984 it has become the United Kingdom's most publicised...

.) The same materials and supplies are being used; yet they have taken on a new form. This relates to the concept of recreation vs. destruction.

Inevitably, the problem arises: How can one ever say that both S2 and S3 are the same ship as S1, the original Theseus? This is because if they were both the same as S1, then they would have to be the same as each other. This follows from transitivity
Transitive relation
In mathematics, a binary relation R over a set X is transitive if whenever an element a is related to an element b, and b is in turn related to an element c, then a is also related to c....

, which states that if x = y and x = z, then y = z. With S2 and S3 being clearly different ships, sitting on opposite sides of the harbor, three choices present themselves:
  • S2 is the same ship as S1;
  • S3 is the same ship as S1; or
  • neither is the same ship as S1, and S1 has ceased to exist.


How does one then decide which is the correct answer in this case? It is difficult to tell. Whenever one makes an identity claim (i.e. a claim which states that two things are the same), one almost always uses two different descriptions. Sometimes, one may say, "x = x", like "I am I", but such claims are not particularly interesting or informative. The interesting identity claims are claims where two different descriptions are used for one and the same thing. As an example, take these two descriptions: "the Morning Star", and "the Evening Star". Sometimes, one can look in the sky just before dawn, and see a very bright point of light — that has been called "the Morning Star". And then also, one can look in the sky just after sunset, and see a very similar point — that has been called "the Evening Star". The Morning Star is, in fact, identical to the Evening Star — both are the planet
Planet
A planet is a celestial body orbiting a star or stellar remnant that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared its neighbouring region of planetesimals.The term planet is ancient, with ties to history, science,...

 Venus
Venus
Venus is the second planet from the Sun, orbiting it every 224.7 Earth days. The planet is named after Venus, the Roman goddess of love and beauty. After the Moon, it is the brightest natural object in the night sky, reaching an apparent magnitude of −4.6, bright enough to cast shadows...

. As such, they are "two" things, only in description, but in actuality, are one and the same thing under two different descriptions.

It is a similar case with S1, S2, and S3, those being three different abbreviations, standing for the following descriptions:
  • "S1", referring to the ship which sat in the harbor fifty years ago, newly christened "the Theseus";
  • "S2", referring to the ship which sits in the harbor now, with the new planks; and
  • "S3", referring to the ship which sits in the harbor, recently constructed out of the old planks.

When one, therefore, asks a question like, "Is S2 the same as S1?", one can be understood to mean this: "Is the ship which sits in the harbor now, with the new planks, the same ship as the ship which sat in the harbor fifty years ago, newly christened "the Theseus"?" Do those two descriptions refer to the same thing, or do they not?

Philosophers are not interested in the "Ship of Theseus" problem per se, but to a more basic problem which is this: How does one decide that X is the same as Y, where X describes something at one time, and Y describes another thing at a later time? This is called the "problem of identity over time", or alternatively, the "problem of change".

Leibniz's solution

The German philosopher, Gottfried Leibniz
Gottfried Leibniz
Gottfried Wilhelm Leibniz was a German philosopher and mathematician. He wrote in different languages, primarily in Latin , French and German ....

, came up with what is now called Leibniz's law (see Identity of indiscernibles
Identity of indiscernibles
The identity of indiscernibles is an ontological principle which states that two or more objects or entities are identical if they have all their properties in common. That is, entities x and y are identical if any predicate possessed by x is also possessed by y and vice versa...

) that may have some bearing on the question. Leibniz's law states:
X is the same as Y if, and only if, X and Y have all the same properties and relations; thus, whatever is true of X is also true of Y, and vice-versa.


Applying Leibniz's Law to the Ship of Theseus problem, S2 is the same as S1 if, and only if, S2 and S1 have all the same properties and relations. Does the ship now in the harbor have all the same properties and relations as the ship that was in the harbor fifty years ago? One might be tempted to say, "Clearly not! They have lots of different properties. So they can't be the same ship." Does that sound convincing? To answer this question, let us consider the property, "contains mast #1". Mast #1 is one of the masts that the original Ship of Theseus had. S1 definitely had this property, but S2 is not so equipped, but has mast #2, instead. It follows that S2 must therefore be different from S1.

Many philosophers strongly oppose this view. For if this argument works, then any property that has changed from the last time we looked at a thing would mean that the thing does not exist anymore, and there is a new thing in its place. Every little change in every little property would mean the whole thing is destroyed. Suppose we look at S1 just a couple of years after it was built. If just one plank has been replaced, will we say that the ship is a different ship? Many philosophers would say surely not, as would common sense. But the ship that is floating on the ocean for a couple of years does have different properties from the original. Leibniz's Law would have us say that it is a different ship. One might see all this and conclude, "Well, Leibniz's Law must not be a law at all, but a false claim! X and Y do not need to have all the same properties to be the same thing."

Leibniz's Law can be saved, by saying: Properties are to be described as occurring at particular times, i.e. they are indexed to times. A property that is described as at a particular time is said to be "temporally-indexed". For example, we can say that S1 has mast #1 in 600 BC. If we say what time the ship has the mast, then we have indexed the property of having the mast to that time. We say the ship has the mast then, using the word, "has", tenselessly. That means we do not say that it, at present, has the mast, but rather, we say it "has" the mast in 600 BC. We are not claiming that the ship has the mast at any other time; just at that time. But if it were a later time, say 550 BC, that very same ship could "have" mast #1 in 600 BC, considering that we are talking about a tenseless "have". That is, it always has the same properties, but the properties are of the form P-at-T. This gives us a way to save Leibniz's Law from the objection we gave, but at the same time, brings up the issue of whether change really occurs. After all, we defined "change" as something having one property at one time, and not at some later time. By this solution though, any given object always has all the properties throughout time, and the properties are merely temporally-specific.

Putting this in plain English, S1 now has the property that it will have mast #2; and S2 now has the property that it did have mast #1. We can then say that S1 and S2 have all the same temporally
Time
Time is a part of the measuring system used to sequence events, to compare the durations of events and the intervals between them, and to quantify rates of change such as the motions of objects....

-indexed properties
. According to Leibniz's Law, therefore, they would be the same ship.

One might also say, through the same sorts of contortion
Contortion
thumb|upright|Contortionist performingContortion is an unusual form of physical display which involves the dramatic bending and flexing of the human body. Contortion is often part of acrobatics and circus acts...

s that S1 and S3 might have the same temporally-indexed properties. It then follows from Leibniz's Law that they instead would be the same ship.

Can Leibniz's Law help us decide whether it is S2 or S3 that is the same as the original Theseus? Perhaps not by itself. Leibniz's Law says that some ships are the same, just in case, they have all the same properties and relations — or, rather, the same temporally-indexed properties and relations. How then is one to decide that they have all the same temporally-indexed properties and relations? Leibniz's Law seems to offer little or no help when it comes to that decision.

Pragmatic solution

One popular solution to the problem of the Ship of Theseus is to say that the meaning of "same" depends on what purpose the word is being used for. If, supposing it turns out that the original Ship of Theseus, S1, was actually stolen property, and the rightful owner demands its return, should the police give him S2 or S3? Instead of figuring out which ship, if either, is the "same", and then declaring that it should be returned, the pragmatic solution is to figure out which ship should be returned, and then declare that it is the "same". The current owner of S2 could argue that the original owner did not pay for any of the labor or materials of S2, but did provide at least the materials for S3. Thus, the original owner should not be entitled to S2, but rather, some or all of S3. For the purpose of legal entitlement, therefore, part or all of S3 is the same as S1.

Now, let us say that the purpose is not legal entitlement, but rather, the following situation: The admiral
Admiral
Admiral is the rank, or part of the name of the ranks, of the highest naval officers. It is usually considered a full admiral and above vice admiral and below admiral of the fleet . It is usually abbreviated to "Adm" or "ADM"...

 of the fleet believes that captains
Captain (nautical)
A sea captain is a licensed mariner in ultimate command of the vessel. The captain is responsible for its safe and efficient operation, including cargo operations, navigation, crew management and ensuring that the vessel complies with local and international laws, as well as company and flag...

 and crew
Crew
A crew is a body or a class of people who work at a common activity, generally in a structured or hierarchical organization. A location in which a crew works is called a crewyard or a workyard...

s who have fought alongside each other are more effective than captains and crews who are strangers to each other. The admiral then declares that captains must serve at least one year on the same ship. One day, Captain Hercules takes command of the Theseus, and then transfers 18 months later. During this time, the ship's materials are completely replaced as in the previous example, but the crew stays the same. Is S2 = S1, S3 = S1, both, or neither? For the admiral's purpose, S2 = S1 because S2 has the same crew as S1, and Captain Hercules has thus fulfilled the admiral's objective.

Thus, whether S2, S3, both, or neither is the same ship as S1 is a matter of convention and what purposes we have for considering things to be the same or different. Two objects may be considered the same for one purpose, and yet different for another. Is a watch, received as a gift, still the same after it hits the chain saw? For the purpose of returning it, no. But it will always have that same sentimental value. See pragmatism
Pragmatism
Pragmatism is a philosophical tradition centered on the linking of practice and theory. It describes a process where theory is extracted from practice, and applied back to practice to form what is called intelligent practice...

.

The ship of Theseus problem: a non-receivable question

One way of thinking about the Ship of Theseus
Ship of Theseus
The Ship of Theseus, also known as Theseus' paradox, or various variants, notably grandfather's axe and Trigger's Broom is a paradox that raises the question of whether an object which has had all its component parts replaced remains fundamentally the same object.The paradox is most notably...

 problem is as follows: It is a question that is not receivable because of the mismatch between the domain of the question and the domain of the subject matter it is applied to. Let us review the three main knowledge domains of concern here:
  • A, the real ontological
    Ontology
    Ontology is the philosophical study of the nature of being, existence or reality as such, as well as the basic categories of being and their relations...

     universe
    Universe
    The Universe is commonly defined as the totality of everything that exists, including all matter and energy, the planets, stars, galaxies, and the contents of intergalactic space. Definitions and usage vary and similar terms include the cosmos, the world and nature...

     that exists and happens by itself;
  • B, our reality
    Reality
    In philosophy, reality is the state of things as they actually exist, rather than as they may appear or might be imagined. In a wider definition, reality includes everything that is and has been, whether or not it is observable or comprehensible...

     or how we experience the real universe, A; and
  • C, or our scientific analysis of our reality, B.

The distinction between B and C is demonstrated in the following example: In the evening, one can go out and see at the same moment the sun setting, the moon and a few stars; this is our reality or B. In the scientific domain C, however, the analysis of B reveals that the stars are thousands of light years away, the sun is eight light minutes away, and the moon is about a light second away. Since one cannot logically consider these subjects to be both "at the same moment" and "away in time", an exclusive choice has to be made that defines these two separate domains, B and C. Our reality or domain B is created by the complex, but consistent transformation of A by our biological and mental makeup. Therefore, domain B, or our reality, is internally logical. The scientific knowledge, or domain C, is created by the application of a consistent methodology
Methodology
Methodology is generally a guideline for solving a problem, with specificcomponents such as phases, tasks, methods, techniques and tools . It can be defined also as follows:...

 of analysis of our reality, B. Therefore, the scientific domain is internally logical. Domains B and C each have their own internal logic, derived from a consistent approach respecting both processes and subject matter. Using the questions or processes of one domain on the subject matter of another domain will logically produce puzzles, paradox
Paradox
Similar to Circular reasoning, A paradox is a seemingly true statement or group of statements that lead to a contradiction or a situation which seems to defy logic or intuition...

es, and inconsistencies. The Ship of Theseus problem is an example of such an inconsistency created by the use of the question of identity proper to the ontology of domain A, applied to the subject matter of domain B, our reality. The question about the identity of the Ship of Theseus is simply not receivable and comes from the poor practice of not respecting the proper correspondence of the question domain to the subject matter domain. The problem of identity is an ontological problem, and should therefore be applied to the (metaphysical) subject matter of domain A, the real universe.

Persistence over time

Common-sense tells us that objects persist across time, that there is some sense in which you are the same person you were yesterday, in which the oak is the same as the acorn, in which you perhaps even can step into the same river twice. Philosophers have developed two rival theories for how this happens, called endurantism
Endurantism
Endurantism or endurance theory is a philosophical theory of persistence and identity. According to the endurantist view material objects are persisting three-dimensional individuals wholly present at every moment of their existence...

and perdurantism
Perdurantism
Perdurantism or perdurance theory is a philosophical theory of persistence and identity. The perdurantist view is that an individual has distinct temporal parts throughout its existence....

. Broadly speaking, endurantists hold that a whole object exists at each moment of its history, and the same object exists at each moment, while perdurantists believe that objects are 4-dimensional entities made up of a series of temporal parts like the frames of a movie.

Identity and change in conscious beings

The problem of personal identity relates to change as applied to people. The molecule
Molecule
A molecule is an electrically neutral group of at least two atoms held together by covalent chemical bonds. Molecules are distinguished from ions by their electrical charge...

s that make up each individual change almost completely over a period of years. Usually, there is no trouble in saying that a little girl in 1920, for example, is the same as an old woman in 1998, even though they share a relatively small number of molecules in common. The same person is just described in two different ways, first as a little girl, and second, as an old woman. In fact, we are confident enough of our ability to reidentify people over time that we are given names that are supposed to last us from when we get them until we die many years later. The question is exactly why we call the old woman in 1998 the same person as that little girl in 1920.

However, according to quantum physics, individual molecules (and atoms, electrons, protons etc.) have no identity. For example, every electron is the same and in quantum mechanics, one can not keep track of an individual electron precisely. Therefore any electron can interchange with another one with no observable physical change of the system at all. Thus, any real object cannot remain the same, also because of movement of its physical parts (even much bigger than molecules). Similarly to Leibniz solution, in a real life, we can say the person (or any macroscopic object) is the same, because all signs refer to the person (or object) in the past, which evolved in time.

External links

The source of this article is wikipedia, the free encyclopedia.  The text of this article is licensed under the GFDL.
 
x
OK