A METADESCRIPTIVIST THEORY OF PROPER NAMES
Once fashion comes in, objectivity goes.
—D. M. Armstrong
According to descriptivism, proper names are abbreviations of definite descriptions. The most explicit formulation of descriptivism for proper names – the bundle theory as presented in the work of John Searle – states that a proper name abbreviates a bundle of definite and even indefinite descriptions that constitute its whole content (1958; 1967). This means that definite descriptions have no function other than to be carriers of information that can be more or less helpful for the identification of their bearers. As Susan Haack wrote, summarizing Searle’s view:
The different senses we can give a proper name that we use result from our having in mind some not previously determined sub-bundle from a whole bundle of co-referential descriptions. (Cf. Haack 1978: 58)
Thus, as Frege already saw, one speaker can use the name ‘Aristotle’ to mean ‘the greatest disciple of Plato and the tutor of Alexander,’ while another can use it to mean ‘the tutor of Alexander who was born in Stagira’ (1892: 29). And in the usual case, both speakers can know they are referring to the same person, insofar as they know that they share at least one description (Frege 1918: 65).
In my view, the problem with this formulation of bundle theory is not that it is wrong, since in one way or another most objections to it can be answered (Cf. Searle 1983, Ch. 9). The problem is that this theory is too vague, for this reason lacking explanatory power. The descriptions belonging to the bundles are treated as if they were completely disordered. How important this is becomes apparent when we remember that the descriptions belonging to these bundles can be seen as what Wittgenstein called ‘expressions of rules’ (Regelausdrücke): description-rules that could possibly aid us to identify the bearer of a proper name. Usually, there are numerous descriptions that could be associated with any proper name, many of them obviously irrelevant. Unfortunately, bundle theory has no method for deciding which description-rules belonging to a bundle have more relevance for the identification of a name’s bearer. It thus appears that the lack of such a method is the most serious flaw in traditional bundle theory.
Accordingly, my working-hypothesis is that speakers of our language implicitly appeal to some kind of general meta-descriptive rule when using a proper name. This rule should tell us the conditions under which satisfaction of descriptions belonging to a bundle of descriptions abbreviated by a proper name makes this name applicable to its bearer. Thus, I intend to show that such an additional rule can be discovered as part of the pre-existing tools of our natural language and that its full explanation would greatly enhance the bundle theory of proper names.
The first move in this direction should be to find the most relevant descriptions. My proposal is inspired by J. L. Austin’s method of quasi-lexicographical examination of ordinary language as a philosophical starting point. He recommended beginning with the Oxford Dictionary. Since dictionaries aren’t the best places to find the meanings of proper names, I suggest first looking at encyclopedia entries for proper names. By doing this we can clearly distinguish two kinds of description-rules that can help identify the bearer of a proper name. I call them auxiliary and fundamental descriptions. Fundamental descriptions are usually placed at the start of encyclopedia articles.
I begin with less relevant auxiliary descriptions. These can be characterized as ones only accidentally associated with proper names. Regarding the name ‘Aristotle,’ typical examples are (i) metaphorical descriptions like Dante’s ‘the master of those who know.’ Other examples of auxiliary descriptions are ‘the greatest disciple of Plato,’ ‘the tutor of Alexander,’ ‘the founder of the Lyceum’ and ‘the man called “Aristotle.”’ These are what we may call (ii) accidental, but well-known descriptions. There are also (iii) accidental and little known descriptions associated with the name ‘Aristotle,’ such as ‘the lover of Herphyllis’ and ‘the grandson of Achaeon.’ Finally, there are (iv) contextually dependent adventitious descriptions, like ‘the philosopher mentioned by the professor in the last class,’ or ‘the blonde woman who spoke with us at the party.’ An adventitious description is often very transitory, as it is closely associated with an event that in most cases will soon be forgotten.
Descriptivist philosophers like Frege and Wittgenstein have often used auxiliary descriptions to exemplify parts of a bundle. However, this can be very misleading, since ultimately they are of negligible semantic relevance. An indication of this secondary role is found in encyclopedias and biographies. Biographies and autobiographies offer a wide range of auxiliary descriptions, mostly irrelevant for identification purposes. Encyclopedias seldom begin articles with auxiliary descriptions. Instead, they begin with what I call fundamental descriptions: non-accidental descriptions that usually tell us the ‘when,’ the ‘where’ and the ‘why’ of proper-name bearers. Following this path, I define fundamental descriptions as being of the following two types:
(A) Localizing description-rule: a description that localizes an object in space and time, often singling out its spatiotemporal career.
(B) Characterizing description-rule: a description that indicates what we regard as the most important properties related to the object, exposing our reasons for applying the proper name to it.
Indeed, as a rule, encyclopedias first state a spatiotemporal location and then the main reasons we use a proper name; only after that do they give a more detailed exposition containing most of the auxiliary descriptions. One example is the reference to Aristotle in my short Penguin Dictionary of Philosophy, which begins:
Aristotle (384-322 BC) born in Stagira, north of Greece, he produced the major philosophical system of Antiquity…
What we first see here are in synoptic form the localizing and characterizing descriptions.
Having presented the two most fundamental kinds of description-rules, and after considering several different alternatives that I cannot go into here, I offered the
following meta-descriptive rule to establish conditions of application for most if not all proper names. Using the term world-circumstance to designate any possible
world, including the actual world, not only as we think it is,
but also as it could be discovered to be, I can present the meta-descriptive rule as follows:
MD-rule for the application of proper names:
In any world-circumstance where a proper name called ‘N’ has a bearer, this bearer must:
(i) belong to some most proximally relevant class C, so that it
(ii) sufficiently and
(iii) more than any other referent satisfies
(iv) the conditions set by at least (A) its localizing description-rules and/or (B) its characterizing description-rules.
(v) We may add to this, as helpful indicative elements, a variety of auxiliary descriptions.
Now, by applying the general meta-descriptive rule to the bundle of descriptions abbreviated by the name ‘Aristotle,’ I finally arrive at what I call its specific identification rule, the IR-Aristotle. Summarizing the descriptions, here is the identification rule for Aristotle:
IR-Aristotle: In any world-circumstance where there is a bearer of the proper name ‘Aristotle,’ this bearer must be: (i) the human being who (ii) sufficiently and (iii) more than any other satisfies (iv) the condition of having been born in Stagira in 384 BC, son of the court physician Nicomachus, spent the major part of his life in Athens and died in Chalcis in 322 BC and/or the condition of being the philosopher who developed the main ideas of the Aristotelian opus. To this we may add (v) possibly orienting auxiliary descriptions like ‘the greatest disciple of Plato,’ ‘the founder of the Lyceum,’ etc.
We can do the same with bundles of descriptions associated with many different proper names, such as ‘Paris,’ ‘Leaning Tower of Pisa,’ ‘Amazon River,’ ‘Uranus,’ ‘Sweden,’ and, of course, also with the proper names of historically anonymous persons like most of us, though in the last case in a much more dispersive way that I cannot consider here.
This is my basic idea to explain the mechanism of reference of proper names. Why and how this idea is explanatorily powerful is what I intend to show in the next sections.
Identification rules at work
The application of the meta-descriptive rule to the name ‘Aristotle’ in order to obtain its identification rule enables us to give a straightforward answer to Kripke’s modal objection, according to which descriptivism is false, since no description is guaranteed to apply to any existing bearer of a proper name. As he puts it, there could be possible worlds where Aristotle lived 500 years later or where he died as a child and never wrote anything about philosophy (Kripke, 1980: 62 f.). However, these possibilities are no threat to the rule stated above, since this rule is based on an inclusive disjunction. Aristotle would still be Aristotle if he had lived 500 years later in Rome, insofar as he sufficiently satisfied the characterizing description related to his work, for instance, by writing major parts of the Aristotelian opus. He could also have died as child, as long as he sufficiently satisfied the localizing description, for instance, birth in Stagira in 384 BC as the son of the court physician Nicomachus.
Since our identification rule for Aristotle demands only sufficient satisfaction of an inclusive disjunction of the two fundamental descriptions (which purposely does not make any precise specification of degree), we can easily regard the two above considered possibilities as satisfying the identification rule.
Indeed, there are even proper names that typically satisfy only one description-rule of the disjunction. These are ‘one-foot’ (i.e., having only one of the usual two descriptions) proper names like ‘universe’ (which contains all that exists and thus can have no localizing description) and ‘Z’ understood as the arbitrary name for the center of a circle (and without any relevant characterizing description). There are even proper names able to satisfy one term of a disjunction much more than the other, as in the case of a numbered planet of the solar system. Venus, for instance, must satisfy the localizing description-rule requiring that it must be the second planet from the sun, orbiting between Mercury and the Earth for a sufficient period of time… Even if for some reason it has changed its orbit or has lost part its atmosphere or part of its mass, it remains Venus. One could say that the essential element of its characterizing description is already built into its localizing description, namely, the condition that it is a planet.
The only inconceivable alternative is that neither the localizing nor the characterizing description-rule is satisfied to a minimal degree. Such a case was fancifully suggested by John Searle in the following example:
If a classical scholar claimed to have discovered that Aristotle was no philosopher and wrote none of the works attributed to him, but was in fact an obscure Venetian fishmonger of the late Renaissance, then the ‘discovery’ would become a bad joke. (Searle 1967: 490)
Clearly, no sane person would agree with Searle’s classical scholar. Such an illiterate man could not be our Aristotle; the obvious reason is that the fishmonger does not at all satisfy either the localizing or characterizing descriptions.
Two other important elements of the MD-rule for proper names need some clarification. These are what I call the condition (ii) of sufficiency, namely, the satisfaction of the inclusive disjunction to a sufficient degree, and the condition (iii) of predominance, namely, that it satisfies the inclusive disjunction more than any other competitor.
First, take the condition of sufficiency. We can imagine a possible world where there was one Aristotle who was born in 384 BC in the court of Stagira… but died when he was seventeen because his ship sank in a storm while he was crossing the Aegean to study in Athens under Plato. He may have been only an Aristotle in potentia, but we would still believe he was our Aristotle! The reason is that the identification rule is satisfied insofar as the localizing conditions are at least sufficiently satisfied (if only partly). It is irrelevant that the other term of the disjunction is not satisfied at all. The opposite case would be that of a possible world where the only Aristotle was born 500 years later than ours, lived in Rome and wrote only the Metaphysics and the Nicomachean Ethics. We would still tend to identify him as our Aristotle. We can of course imagine a possible world where the only Aristotle was born in Stagira in 384 BC, wrote Aristotle’s now lost earlier dialogues and the Organon, and died prematurely before writing the Metaphysics and other major works. In this case, both rules are only partially but at least sufficiently satisfied, since we can still identify him as our Aristotle.
The second condition, predominance, reveals its purpose when we imagine that the court physician Nicomachus fathered twin sons in Stagira in 384 BC, naming both ‘Aristotle.’ The first Aristotle moved to Athens when he was seventeen to study philosophy with Plato and later wrote the entire Aristotelian opus. The second Aristotle had less luck... He became a physician like his father and accompanied Alexander on his military campaigns, but succumbed to hunger and thirst in the desert while returning from the East. Who would be our Aristotle? The first Aristotle, of course. The reason is that much more than his brother he satisfies the fundamental conditions of the identification rule for Aristotle. The condition of predominance serves to exclude the possibility that more than one object satisfies the identification rule.
If there is more than one object that satisfies the identification rule to the same degree, even if in different ways, our criterial tool for the application of a proper name will fail. Imagine, for instance, a possible world in which it is very common (and normal) for people to have two heads. Suppose that there was a child with two identical heads who was born in the court of Stagira in 384 BC, son of Nicomachus. The two heads developed into separate ‘persons’ and both were called ‘Aristotle.’ Since they shared the same body, these two persons inevitably lived very closely linked lives, jointly writing the entire Aristotelian opus. It would be almost pointless to ask which was our Aristotle, since by definition proper names apply to only one bearer, and the two satisfy the identification rule in equal measure (however, we could still adopt the strategy of spatially distinguishing the Aristotle ‘on the right side’ from the Aristotle ‘on the left side’…).
Including the condition of predominance already has the advantage of explaining why it is intuitive for us that a Twin-Earth Aristotle (who was qualitatively identical with our Aristotle and lived on identical planets…) is not the ‘true’ Aristotle. This approach works better than Searle’s attempted explanation (1983: 254-5) because our earth’s Aristotle is the person who satisfies the condition of predominance. Both Aristotles satisfy the characterizing description-rule (they both wrote the Corpus Aristotelicum), and because the spatial context is similar, the Twin-Earth Aristotle also appears to satisfy the localizing rule. However, beyond this only the Earth-Aristotle really satisfies the localizing description-rule, since he lived in the Greece of our Earth, and not in the far distant Twin-Earth Greece. Because both Earths belong to one and the same space, the localizing description-rule refers to a spatial location on our Earth and not to its counterpart on the distant Twin-Earth, notwithstanding the confusingly similar local surroundings. (Even if there could be two incommensurably different spaces, the conclusion would remain the same, since our Aristotle would belong to the first and not to the second space.)
The introduction of the so understood identification rule allows us to solve the famous paradox of Theseus’s ship. Suppose Theseus had a ship named ‘Calibdus’ that over time showed signs of wear. He gradually replaced its planks with new ones, until in the end there was not one original plank left. All the worn-out planks had been stored, and someone decided to repair them and build a ‘new’ ship, identical with the original one. Which ship is now the Calibdus? (If you think it must be the first one, you need only speed up the substitution of the planks: if the whole substitution requires just one month, you would tend to say that the second ship is the Calibdus, and if it takes just one day, you will be sure of this.)
This imagined situation seems paradoxical, insofar as it leads us to grasp a possible conflict in the application of the two fundamental description-rules. The first ship better satisfies the localizing description concerning its date of launching and spatiotemporal career; it also satisfies enough of the characterizing description concerning its structural and functional properties, though not its material constitution. The second ship satisfies the characterizing description better since besides its structural and functional properties it has all the original material parts. Both satisfy conditions of sufficiency for Calibdus, but since the paradox invites us to consider a situation in which neither of them satisfies the condition of predominance, we feel that there are cases in which the identification rule isn’t applicable any longer, cases in which Calibdus no longer exists in the sense demanded by a singular term.
One could, finally, ask if auxiliary descriptions play some role regarding predominance. The answer seems to be divided. The answer is ‘no’ in cases where auxiliary descriptions are irrelevant, like ‘the man called by Dante the master of those who know’ or ‘the grandson of Achaeon.’ But in the case of relevant auxiliary descriptions like ‘the greatest disciple of Plato’ they do seem to matter. And there are limitrophe descriptions like ‘the son of Nicomachus, the court physician of Philip of Macedon’ that make a clear difference (in the case of several persons named ‘Aristotle’ born in 384 BC in Stagira we would choose the person who satisfies the above description, unless this person does not satisfy the identification rule more than any other). The border between fundamental and auxiliary descriptions is vague, particularly for the class of proper names of historically irrelevant persons, which includes the great majority of people.
Finally, the insignificance of most auxiliary descriptions comes to the fore when we consider the case of someone who satisfies them but does not satisfy the fundamental conditions. Consider, for instance, the famous Greek shipping magnate Aristotle Onassis (1906-1975). He could not be our Aristotle, because he satisfies none of the fundamental descriptions. But suppose he satisfied some auxiliary descriptions of our bundle, say ‘the man called “Aristotle,”’ ‘the tutor of Alexander,’ ‘the master of those who know’ and ‘the lover of Herphyllis.’ This changes absolutely nothing in our judgment! Although his name was also ‘Aristotle,’ he could not be the greatest philosopher of ancient Greece. He could not be – even though he did in fact educate his son Alexander – because this son could not be the greatest conqueror of Antiquity. Even if someone called him ‘the master of those who know,’ it does not matter, as that person would surely not be Dante Alighieri. And he could not, even if he had a mistress named Herphyllis, have a relationship with a concubine from ancient Stagira. It does not matter how many auxiliary conditions related to our true Aristotle this proper name satisfies, they will never suffice to identify him. We regard them as unforeseeable irrelevant coincidences, showing that usually auxiliary descriptions can only be helpful – as we will see – insofar as fundamental descriptions are already applicable.
Objection of vagueness
At this point one could object that identification rules derived from the MD-rule (or instantiating it) are too vague. Not only do they not establish precisely how much of an inclusive disjunction must be satisfied in order to be sufficient, they also do not establish precisely how much more a possible competitor must satisfy the disjunction in order to disqualify another with certainty. Moreover, to some extent localizing and characterizing rules contaminate one another…
To answer this question, we need to begin by remembering that vagueness does not mean (as shown, e.g., by the sorites paradox) the disappearance of boundaries. After all, it is quite easy to imagine a possible world where we could not be certain if our Aristotle ever lived there. This would be the case, for example, in a possible world where Aristotelian philosophy never developed, but there was a court physician in Stagira named Nicomachus who in 384 BC fathered an anencephalic baby that died soon after birth. The parents even named their new offspring ‘Aristotle’... Would the child be our Aristotle? We cannot tell.
Having this in mind, the objection is easy to answer. Our natural language is vague; for our semantic rules to be truly applicable in other empirically possible worlds, they must leave room for vagueness. This is precisely what our identification rules do. Thus, far from being a problem, their vagueness can be advantageous. Moreover, the vagueness of our MD-rule is evidence of its correctness, since all it does is to mirror the semantic vagueness of our own natural language. In our example, this is shown by our bicephalous Aristotle, for whom the condition of sufficiency cannot be met because of its unavoidably blurred borders.
Saul Kripke correctly classified proper names as rigid designators, defining a rigid designator as a term that designates the same object in every possible world where this object exists or could exist while designating no object in any world where this object does not exist (1971: 145-6). Excluding the confusing ‘could exist,’ I see this as an intuitively useful device for selecting the adequate theory of proper names. From this idea we can derive the following rigidity test: If x is a rigid designator, its reference could not have existed without being x.
Now, since in some possible worlds there are cases where we cannot know whether the bearer of a proper name exists, we must redefine the rigid designator as the term that applies in every possible world where its reference definitely (unambiguously) exists. So understood, the proposed MD-rule again makes the proper name a rigid designator – a point to which we will return below.
Signification
The proposed meta-descriptivist analysis of how proper names work can help us gain a better understanding of proper names’ meanings. Leaving aside for now what individual speakers can mean with a name – which is variable and often very limited – we can say that the core meaning (sense) of a proper name is given by its fundamental description-rules. The reason for this is that together with the entire identification rule they are able to single out the name’s meaning by identifying its sole bearer. These fundamental descriptions must be conventions that are sufficiently known, at least by what we may call privileged speakers (in many cases of
so-called ‘specialists,’ these conventions may even be only complementarily shared by
each of them…), understood as those who (alone or jointly) are truly able to apply them in making an identification. So, if you know that Aristotle was ‘the philosopher who wrote the Nicomachean Ethics and the Metaphysics’ and that he was ‘a person born in Stagira in 384 BC, son of the court physician Nicomachus, who lived most of his life in Athens,’ you already have some decisive informational meaning, though not if you only know that he was ‘the tutor of Alexander.’
Now, what about auxiliary descriptions? I think they are still able to give an aura of meaning to a name, which sometimes becomes very suggestive, as in the case of ‘Plato’s greatest disciple.’ Nonetheless, someone who only knows a supplementary description usually associated with a proper name, like ‘the teacher of Alexander’ in association with ‘Aristotle,’ whom he saw portrayed by an actor in a movie about the life of Alexander, does not really know anything relevant about the meaning of the name Aristotle. Yet, even if he only has a little meaningful information about him, he can use this meager knowledge to insert the name correctly in some sort of vague discourse, producing a parasitical kind of reference. Auxiliary descriptions have an auxiliary role of guiding a speaker within a linguistic community, opening an informational channel that directly or indirectly links him on a chain to other speakers, ending, he supposes, with those speakers who definitely know the identification rule, and could in principle teach him to properly identify the bearer (this has sometimes been called a process of ‘reference borrowing’).
Ignorance and error
Possessing this general explanation of the meaning of proper names, we are prepared to give an answer to Kripke’s counterexamples of ignorance and error. They concern people who associate an indefinite description with a proper name, such as ‘a physicist or something like that’ with the name ‘Feynman.’ They also concern people who associate erroneous descriptions with a proper name, such as associating ‘the inventor of the atom bomb’ with the name ‘Einstein’ or ‘the originator of Peano’s axioms’ with the name ‘Peano’ (actually these axioms were first conceived by Dedekind and later refined by Peano) (Kripke 1980: 81-89).
My answer is that the speaker is already able to endow proper names like these with a merely parasitical or borrowed referential role. To do this, it suffices to know a very marginal or relatively inadequate description, as long as we have reasons to believe that in the linguistic community the name has a reference supported by privileged speakers with the necessary knowledge of the fundamental description-rules that enables them to apply the identification rule. This means that a speaker who only knows such insufficient descriptions is already able to insert a word into the discourse in a way he expects can associate the name with its bearer somewhere in the communication network. Important for the success of this parasitical form of reference is that the description known by the speaker enables him to insert the proper name in an understandable way into sufficiently vague discursive contexts. This is the case of the Kripkean counterexamples presented above. One can correctly insert names in a sufficiently vague discourse by associating them with even just one indefinite or erroneous description, insofar as at least the following two conditions for parasitical reference are satisfied:
(A) The description known by the speaker must be convergent. That is, a description that at least correctly classifies the name’s owner (e.g., belongs to class C of the name’s identification rule).
(B) The speaker implicitly knows the MD-rule for proper names. This means he must be well-aware that he does not know more than an irrelevant part of the meaning, which will make him sufficiently cautious about inserting the name in discourse (he knows how little he knows).
To give a simple example: Not being a theoretical physicist, I know very little about the cognitive meaning of the abstract name ‘string theory.’ But at least, I am aware of how little I know. This is why I could even impress my students by giving some vague information about super-strings as incredibly small vibrating filaments of energy that produce all the matter and energy in the universe by vibrations of different frequencies… The ordinary context allows this, although in fact I am far from understanding the relevant mathematical concepts and equations constitutive of the theory. This is why I would refrain from participating where expert knowledge is required, for instance in a discussion among theoretical physicists. Furthermore, without real privileged speakers and their adequate knowledge of meaning, my insertion of the word ‘string theory’ into discourse would be vacuous, for this parasitical reference borrowing would, in the end, have nothing to anchor itself to. If all specialized knowledge of string theory should disappear due to a cosmic catastrophe that killed all the string theorists and destroyed all their scientific instruments, texts, and data, the real cognitive meaning of this name would also be lost, even if someone could still remember how to pronounce it.
Consider now Kripke’s counterexamples. A person can insert the name ‘Feynman’ in sufficiently vague discourses. His use must be convergent, he must correctly classify Feynman as ‘a physicist or something like that’ and therefore as a human being, and he must be implicitly aware of the MD-rule. A person can also use the names ‘Einstein’ and ‘Peano’ correctly in vague discursive contexts, possibly expecting to obtain more information or even correction from better informed speakers. He must simply satisfy conditions (a) and (b), correctly classify Einstein as a scientist, Peano as a mathematician and both as human beings…
On the other hand, when proper names are associated with divergent descriptions, that is, incorrectly classified, the referential thread is apt to be lost. Thus, if speakers associate the name ‘Feynman’ with the divergent description ‘a brand of perfume,’ the name ‘Einstein’ with the divergent description ‘a precious stone,’ and the name ‘Peano’ with the divergent description ‘a musical instrument,’ they will probably not be able to insert these names correctly in any discursive context, no matter how vague it may be. We will not say that in using the name they are able to refer to its bearer, even in an assumed borrowed or parasitical way.
Curiously enough, the same conditions also apply to general terms. If a fisherman means by a whale a large marine fish, this is incorrect, as whales are mammals, but at least it is convergent since he classifies the whale correctly as a sea creature, which already enables him to insert the word in colloquial discourse. However, if a child believes that ‘whale’ is the name of a mountain in the Appalachians, his usage is not only incorrect but also divergent, making him unable to adequately insert the word into discourse.
Finally, I can use what we have learned to refute a counterexample to descriptivism suggested by Keith Donnellan (1972: 374). He describes a case in which a close friend, Tom, visits a couple and asks to see their child, who is asleep in his bed upstairs. The parents agree to his request, awaken the child and introduce their friend, ‘This is our friend Tom.’ Tom greets the child with ‘Hello,’ and the child, after hearing this, immediately falls asleep again. Asked about Tom the next morning, the child replies, ‘Tom is a nice person,’ without associating any definite description with Tom. Even though he would most likely be unable to recognize Tom on other occasions, according to Donnellan he has still succeeded in referring to Tom!
The answer can vary depending on the details of the story. If the child has no memory of being awakened, of having seen or heard anyone, then he is only trying to satisfy his parents. In this case, of course, he is not actually referring to anyone. However, let us suppose that the child still has some vague memory of seeing a strange person the previous night. If he saw Tom on the street, he would not recognize him. Nevertheless, in this case, he is already using the proper name in a convergent way since he associates the name ‘Tom’ with the description ‘a friendly person I saw last night.’ In this particular discursive context, hearers who know the identification rule for Tom will be able to give the utterance its full meaning. The parents are privileged speakers here. They know Tom’s appearance, what he does for a living, where he lives, where he comes from and many other details of his life. Indeed, without this additional knowledge, the child’s comment would be empty, not really being elucidative as a borrowed way to refer to a particular Tom in any satisfactory sense. The child’s vague description
must be supplemented by his parents, who arranged for
Tom to meet
the child last night (an adventitious description),
know the causal circumstances and are able to refer to Tom in the full sense of the word by means of his name’s identification rule.[10]
6. Rigidity
The proposed meta-descriptivist view explains why proper names are rigid designators, namely because their identification rules apply in any possible world where the proper name’s bearer exists. They must pass the rigidity test: the reference of an identification rule x could not exist without x being applicable to it. It is easy to find a descriptivist explanation for this. What this really means is that a name’s bearer, the object, cannot exist without satisfying its identification rule, since this rule simply defines what this bearer can be in any world-circumstance. Once established, an identification rule is able to generate all the possible combinations of descriptions of particularized properties (tropes) that an object must have in order to be the sole bearer of its proper name. Consequently, a proper name’s identification rule necessarily applies to its object of application, if this object exists.
To clarify this point we can express a proper name’s identification rule in the form of a definitional identity sentence able to single out the bearer of the proper name by means of a complex associated definite description. As an example, we need only formulate the rule identifying what we mean by the proper name ‘Aristotle’ with what we mean by the following complex definite description:
Aristotle (Df.) = the name that in any world-circumstance where it has a bearer applies to a human being who sufficiently and more than any other satisfies the condition that he was born in Stagira in 384 BC… died in Chalcis in 322 BC and/or... was the author of the relevant views belonging to the Aristotelian opus.
Rightly understood, this identification is an analytically necessary a priori statement. It contains the complex definite description ‘the name that in any possible world where…,’ which besides defining what the name means is a rigid designator. It passes the proposed rigidity test: the name ‘Aristotle’ is rigid because one cannot imagine a possible world where Aristotle exists but is not Aristotle because he doesn’t satisfy the above definition; if Aristotle exists, the definite description necessarily refers to him.
We can see that, unlike the old descriptivism, the meta-descriptivist view does not risk destroying the rigidity of proper names. Quite to the contrary, it enables us to show their rigidity descriptively, since it explains the conditions under which any possible world may be home to the bearer of a name, to whom the name necessarily applies. The reference occurs by means of particularized properties or tropes (See Appendix to Chapter III), insofar as they satisfy criterial configurations that can be generated by the rule and are seen as sufficient for its application. However, the particularized properties that satisfy the respective criterial configurations do not need to remain the same. They can change in multiple and varied ways, constituting no permanent individualizing essence. Thus, in one possible world we can identify Aristotle as a person born in 384 in Stagira as the son of Nicomachus, and in another possible world we could identify Aristotle as the person who wrote the Metaphysics and the Organon… This flexibility of the identification rule frees us from having to include essential properties of the referred to object that must be seen as necessary and sufficient conditions for the name’s application; the essence belongs here rather to the rule’s functional structure. It could be rather called a ‘nominal’ essence.
Names versus descriptions
Perhaps the decisive advantage of my proposal is that it gives the only really satisfactory explanation of the contrast between the rigidity of proper names and the accidentalness (flaccidity) of definite descriptions. According to Kripke, unlike proper names, definite descriptions can have different bearers in different possible worlds. So, while the name Benjamin Franklin always refers to the same person in any possible world where this person exists, the description ‘the inventor of bifocals,’ which refers to him in our world, could refer to a different person or even to no person in some other possible world. In Kripke’s case, this is because proper names, being rigid, are after their bearers’ baptism necessarily linked with them in a mysterious way that calls for explanation. Definite descriptions belong to a different epistemic category. We could say that they refer by means of what J. S. Mill would call their connotation, defined by him as the implications of attributes belonging to the object referred to (Mill 2002: 19, 21).
Nonetheless, in making this sharp distinction Kripke overlooked the most relevant point, namely, that definite descriptions are only accidental when associated with proper names. The point can be made clear first intuitively and then using Wittgenstein’s distinction between symptoms and criteria.
Intuitively, the reason why most definite descriptions are accidental designators (such as ‘the inventor of bifocals’) is that when we apply them we integrate them semantically, in a contingent way, with the identification rule of some proper name (such as ‘Benjamin Franklin’). Indeed, this integration isn’t normally established as necessary by identification rules (and our MD-rule). Consequently, we can easily imagine possible worlds where there is a mismatch between the object possibly referred to by a proper name and the object possibly referred to by the definite descriptions usually attached to it, particularly when these descriptions are merely auxiliary ones (for instance, in a world where Samuel Adams invented bifocals and Benjamin Franklin never existed).
The foregoing explanation of the distinction between the rigidity of proper names and the accidental character of descriptions can be elaborated with the help of Wittgenstein’s distinction between symptoms and criteria. According to this distinction, once accepted as given, a criterion warrants the application of a word, while a symptom, once accepted as given, makes this application only more or less probable (See Ch. II, sec. 9 and Ch. III, sec. 10 of this book). In their association with proper names, definite descriptions usually give us only symptoms for their application, particularly when they are auxiliary, though sometimes even when they are fundamental. This explains why these descriptions alone are not applicable in all possible worlds where the bearer of a proper name exists. By contrast, the complex definite description expressing the whole identification rule of a proper name is able to generate multiple independent criteria to identify the referent (e.g., Aristotle) in different possible worlds. These criteria can be met by particularized configurations of properties (understood as tropes) like those satisfying the examples given above. One can say that in different possible worlds the bearer of a proper name can satisfy the same identification rule in different ways, by means of many different possible configurations of particularized objective properties/tropes.
An easy way to prove that my reasoning is correct is by explaining a phenomenon that Kripke’s causal-historical view cannot explain. We only have to find definite descriptions that are not semantically associated with any proper name. In this case, we expect them to behave as rigid designators, applying to only one object in any possible world where this object exists. I call them autonomous definite descriptions. The following four descriptions are examples:
1. the 52nd Regiment of Fot,
2. the last living Neanderthal,
3. the 1914 assassination of Austrian Archduke Ferdinand in Sarajevo,
4. the easternmost point of South America.
These descriptions respectively name a military organization, a human being, an event, a place. What matters is that they are all easily recognized as rigid designators. Consider:
(1) We can imagine a similar possible world where the 52nd Regiment of Fot had a different organization and time of existence, for example, a world where it did not serve in the Napoleonic wars.
(2) We can imagine a possible world where the last Neanderthal outlived all members of the species homo-sapiens.
(3) We can imagine a world where the Archduke was assassinated at a different time by someone other than Gavrilo Princip and by other means.
(4) And we can imagine a possible world where the easternmost point of South America is not in Brazil but in Tierra del Fuego, which in this world stretches far eastward towards Africa (assuming that we are considering ‘the same point’ regardless of determined properties and latitude).
Even so, if applicable these descriptions will always be applicable to the same bearer in every possible world where this bearer exists, whether it is an organization, a human being, an event or a geographic location. These definite descriptions are rigid designators simply because, with their localizing and/or characterizing description-rules, made at least partially explicit by them, they are always able to pick out the same referent, without the danger of mismatching with referents picked out by the identification rules of associated proper names. The Kripkean view would have no explanation for this, except by an ad hoc claim that autonomous descriptions are nothing but disguised proper names.
9. Autonomous definite descriptions
Finally, it is worth noting that the same MD-rule we apply to bundles of descriptions of proper names can be applied in the case of autonomous definite descriptions, insofar as they work as rigid designators and singular terms independent of any proper name. The difference is not just that part of the rule is usually made explicit through symbolic forms (as a ‘connotation’), but that the rule is often less complex. I can give as an example the identification rule for ‘the 52nd Regiment of Fot.’ It has the following (summarized) localizing description-rule:
The 52nd Regiment of Fot existed from 1757 to 1881, stationed in Oxford; it saw active service particularly during the American War of Independence, the Anglo-Mysore wars in India and the Napoleonic Wars.
The identification rule for the 52nd Regiment of Fot has the following (summarized) characterizing description-rule:
The 52nd Regiment of Fot was a highly regarded regiment whose troops were recruited chiefly from Oxfordshire, consisting of one or two battalions of light infantry, each comprising approximately 1,000 men.
Of course, the inclusive disjunction of these descriptions needs to be only sufficiently and predominantly satisfied in any possible world-circumstance where ‘the 52nd Regiment of Fot’ exists. Auxiliary descriptions are also present, for instance ‘the regiment never surpassed in arms, since arms were first borne by men,’ though they are of lesser relevance. The same is the case with other autonomous definite descriptions.
On the other hand, most definite descriptions, like ‘the inventor of bifocals’ or ‘the tutor of Alexander’ or ‘the City of Light’ (la Ville Lumière), are employed in close association with proper names (respectively Benjamin Franklin, Aristotle, Paris). In this case, the descriptions are viewed as merely auxiliary ones, emphasizing their explicit connotations. As such, they are seen as complements to the identification rule of their associated proper names.
Kripke’s counterexamples
The above exposed meta-descriptivist theory of proper names demonstrates its explanatory power when we need to refute standard counterexamples to descriptivism. As we noted, the meta-descriptivist rule is a tool that all competent users of proper names must be able to use, even without being aware of it. Having made this tool explicit, we can now rehabilitate descriptivism by giving more satisfactory answers to objections and problems. We already saw this in its capacity to answer Kripke’s modal objections, according to which descriptivism is condemned because any description or group of descriptions associated with a name can fail to apply to the name’s bearer, while as rigid designators proper names never fail to refer to their bearers. To justify this view further, I will first consider Kripke’s main counterexamples.
(i) The first is Kripke’s memorable Gödel counterexample (1980: 83-84). Suppose Mary knows nothing about Kurt Gödel, except the description ‘the discoverer of the incompleteness theorem.’ Then suppose that in nineteen-thirties Vienna an unknown Viennese logician named Schmidt wrote the first paper to describe the incompleteness theorem but died under mysterious circumstances before he could publish this major discovery. Soon after this his friend Gödel stole his manuscript and published it under his own name. According to Kripke, if the descriptivist theory were correct, Mary should conclude that Gödel is Schmidt. But it is obvious that the name ‘Gödel’ still refers to Gödel and not to Schmidt! And according to Kripke, the reason is that the reference is fixed by the baptism of the infant Gödel. This is followed by a causal-historical chain in which each hearer repeats the name with the intention to refer to the same person referred to by the speaker from whom he heard it, continuing up to Mary’s utterance…
However, this objection poses a threat only to Kripke’s own caricatured formulation of descriptivism. Our identification rule for the name ‘Gödel’ goes much farther. First, the characterizing description-rule for the name ‘Kurt Gödel’ can be summarized as:
a great logician who made major contributions to logic, particularly the incompleteness theorem.
This already indicates more than what Mary knows, since this description also points to Gödel’s other contributions to logic. Moreover, Kripke does not even consider the localizing description-rule, which can be summarized as:
the person born in Brünn in 1906 who studied in Vienna, emigrated to the USA in 1940 via the trans-Siberian railway and worked at Princeton University until his death in 1978.
As a competent speaker of the English language, Mary must implicitly know the MD-rule. She must be tacitly aware that to conclude that Gödel was Schmidt, she would have to do much more than just attribute the discovery of the incompleteness theorem to Schmidt. Consequently, she wisely refrains from concluding that Gödel is Schmidt.
Moreover, for a privileged speaker Gödel cannot be Schmidt, because even if Schmidt satisfies part of Gödel’s characterizing description, Gödel continues to satisfy the whole localizing description and at least part of the characterizing description, satisfying in this way the condition of predominance. Nevertheless, we already can see that something in the meaning of the name ‘Gödel’ is attached to the name ‘Schmidt,’ which would be clear if someone heard a mathematician who, scandalized by this information, resorting to hyperbole, angrily protested: ‘No! The true Gödel was Schmidt!’
Furthermore, under certain circumstances, Gödel could really be Schmidt. Suppose that Schmidt killed Gödel when he was a teenager and assumed his identity. Then Schmidt studied mathematics in Vienna, conceived and published the incompleteness theorem, married a woman named Adele, moved to the USA in 1940 via trans-Siberian railway and worked at Princeton University until his death in 1978. In this case, we would all agree that Gödel was, in fact, Schmidt, the unscrupulous murderer. And the famous photo of Gödel with Einstein would actually be a photo of Schmidt with Einstein. But why should we say this? The answer is clear: because we see that Schmidt now satisfies the condition of predominance. Smith now sufficiently satisfies our localizing and characterizing description-rules for the name ‘Gödel’ much more than the unfortunate teenager whose birth-name he stole. And since his true birth-name was ‘Schmidt’, he also satisfies the localizing and characterizing identification conditions of Schmidt before he murdered Gödel. The identification rule we now attach to the name ‘Schmidt’ includes the great majority of conditions constitutive of the rule we earlier attached to the name ‘Gödel.’
(ii) Now consider the case of semi-fictional names like Robin Hood. From my perspective, if a name really is semi-fictional, it must be associated with some descriptive content effectively applicable to a real owner, along with merely imaginary descriptive content added later, even if we are unable to definitely distinguish the first type of content from the second. – If they lack any descriptive content that we could consider applicable to reality, they should be called ‘purely fictional names.’ Thus, with regard to semi-fictional names, in many cases, our situation is one of uncertainty and insufficient knowledge. This is the case of Robin Hood. The vague descriptions ‘a person who probably lived in England in the 13th century’ and ‘a legendary righter of wrongs’ respectively suggest contents of almost completely unknown localizing and characterizing descriptions.
According to Kripke, the story is different. It does not matter whether a semi-fictional name has any true descriptive content. Important is only that the name meets its own requirement of coming at the end of the right external causal-historical chain linking it with the baptism of its reference. Hence, independently of any bundle of descriptions known or unknown to us, if this condition is met, the reference of a semi-fictional name is warranted.
Our descriptivist answer is more balanced and complete. As descriptivists, we should admit that what we think is a semi-fictional name can, in fact, be purely fictional. We suspect that the name has a reference, since there are hints that it could refer to a real historical person, so that one could find its proper fundamental descriptions at least in principle. For instance, suppose historians discover documents about a man named Robart Hude, an early 13th century outlaw who championed the weak against the powerful and lived in hiding with a band of followers in Sherwood Forest near Nottingham, strongly suggesting that his life story may have given rise to the legend of Robin Hood. With this in mind, we have enough information to apply both the correct localizing description – early 13th century, lived near Nottingham – and the correct characterizing description – an outlaw who stole from the rich and gave to the poor – both summarized fundamental descriptions originating the legend of Robin Hood. This would give us an improved descriptivist confirmation of the origin of Robin Hood as a confirmed semi-fictional character, while a causal-historical ‘explanation’ should not change anything.
We can also find cases suggesting inadequacies of Kripkean explanations. A scholar might discover there really was a historical model for the first medieval author who wrote about the legend of Robin Hood, but that none of the traditional descriptions apply to it. Suppose there was a faithful hunting dog called Robin who tagged along when the medieval author went hunting in Sherwood Forest. Inspired by the loyalty and bravery of the dog, who was always ready to help his master, the author created the fictional story now known as that of Robin Hood. In this case, it seems that a Kripkean philosopher should conclude that Robin Hood was the dog’s name. A historical chain began when the writer baptized the puppy, and all subsequent hearers or readers shared an intention to refer to the same subject as Robin Hood, though adding the most diverse descriptive fantasies. But this certainly strikes most readers as more than a bit strange.
On the other hand, our MD-Rule allows us to explain the case more clearly and persuasively. This rule would indicate that Robin Hood was the name of a purely fictional character and has nothing to do with any dog since according to the identification rule, the bearer of the name ‘Robin Hood’ should at least belong to class C of human beings.
(iii) The most elusive counterexample is that of Hesperus (1980: 57-58). Suppose, says Kripke, that someone once fixed the reference of Hesperus by using the following statement (i) ‘I shall use “Hesperus” as the name for the heavenly body appearing in that particular position in the sky.’ This does not mean that to be in a certain position in the sky is a necessary property of Hesperus. If long ago a comet had collided with the planet Hesperus, it might no longer have been in its original position when first discovered. Nevertheless, Hesperus would still be Hesperus, since the name is a rigid designator. For Kripke, the bundle theory is unable to explain this case.
Our answer comes from an analysis of the identification rule for Hesperus (the Evening Star). Although one can naively define it as the most brilliant celestial body in the evening sky, one can also
call ‘Hesperus’ the planet Venus when at least during some time it has appeared as the evening Star. Moreover, it is clear that Kripke had this latter
meaning implicitly in mind. If Hesperus were meant to refer not to Venus, but only ‘the luminous thing over there,’ Kripke could not speak about a comet colliding with
the planet, etc. This considered, the identification rule that Kripke in fact applies is that of Venus appearing as the evening Star, even if he nicknames it ‘Hesperus.’ (An astronomer can point to the evening star and say: ‘over there is Hesperus, the planet that is so bright because it is covered by highly reflective
clouds of sulf
uric acid,’ meaning over all the planet Venus and not its accidental appearance as the evening Star). The identification rule for the planet Venus-as-Hesperus considered by Kripke can be summarized as follows:
IR-‘Venus-Hesperus’: In any world-circumstance where there is a bearer of what we call with the proper name ‘Venus’, this bearer must be: (i) a celestial body that (ii) sufficiently and (iii) more than any other satisfies (iv) the condition of being the second planet from the Sun in the solar system, orbiting between Mercury and Earth and at least for some time visible from the Earth as the evening Star. (Moreover, there is a bundle of auxiliary descriptions like ‘the brightest celestial body in the evening sky in the direction of the Sun,’ which are contingent.)
It must be noted that this is a one-foot identification rule, since the localizing feature of Venus is its being the second planet of the solar system orbiting between Mercury and Earth, appearing during sufficient time as the evening Star, and its characterizing feature of being a planet is already built into the localizing description. Moreover, other properties of Venus, insofar as they do not prevent the application of the identification rule, are irrelevant, being the objects of auxiliary descriptions. A planet with all the characterizing properties of Venus which didn’t belong to our solar system but rather to a solar system in another galaxy would surely not be Venus. If Venus-Hesperus loses its atmosphere and therefore its brightness and cannot be seen anymore, it will remain Venus-Hesperus. And if Venus-Hesperus loses most of its mass but remains a planet, it will still be a Venus-Hesperus after the storm. Moreover, the IR-Venus is a rigid designator: there can be no possible world where Venus-Hesperus is not the second planet of the solar system… An object can be correctly identified as the Venus-Hesperus if it satisfies the localizing description-rule sufficiently and more than any other.
Now, suppose that a comet collided with the planet Venus-Hesperus sometime after it was identified, and that this collision changed its position in the sky so that Venus was transformed into an errant planet outside the solar system… In this case, IR-Venus (nicknamed ‘Hesperus’) would remain applicable, even if the description of Hesperus would not be satisfied anymore.
However, Kripke’s example is more sophisticated. He invites us to imagine a possible world Wh (which he conceives as our own world under counterfactual circumstances) with no evening star and no second planet between Mercury and Earth in the relevant historical time period. However, – we must suppose in order to make any sense of what he says – astronomers on Wh (not necessarily from the Earth…) have discovered that there once was a second planet orbiting between Mercury and Earth that could be seen as the evening Star, but this planet was struck by a comet and was turned into an errant planet or no longer exists… As long as this planet satisfies the IR-Venus-Hesperus (…the second planet of
the Solar System, located between Mercury and Earth at
least for some time being the evening Star), it could still be called ‘Venus-Hesperus’ or ‘Hesperus’ in Kripke’s extended use. We see that Kripke’s Hesperus, more literally the planet Venus, can satisfy its identification rule even in the possible world Wh, since it has as its
identification rule a rigid designator, namely a rule that defines all that we can literally call ‘Venus’ and in some analogical, almost abusive way, also call ‘Hesperus,’ understood as ‘Venus that appeared as the evening Star.’
(iv) Another of Kripke’s objections – circularity in names like Peano and Einstein – is easy to answer. Limiting myself here to the first, Kripke’s view is that we define the name ‘Einstein’ descriptively as ‘the originator of relativity theory,’ but we explain relativity theory as a theory authored by Einstein, which leads to circularity.
The answer is not just that it isn’t necessarily so (we can explain the theory without mentioning its originator’s name), but that the use of its originator’s name in its definiens is perfectly adequate; for it is natural to re-utilize a defined definiendum in the search for a complete definiens. This reutilization is not circular; it is part of an ‘ascending bascule movement’ in which already available information is used to obtain more information (any Google search should convince you of this).
11. Donnellan’s Counterexamples
Now I want to briefly analyze the counterexamples proposed by Keith Donnellan (1970, sec. x):
(i) One instructive counterexample is the following: Suppose, he writes, someone discovers that Thales was actually no philosopher, but instead a wise well digger residing in Miletus, who, despairing of his exhausting work, once exclaimed ‘I wish all were water, so I wouldn’t have to dig these damned wells.’ Now, suppose this sentence came down to Herodotus, Aristotle and others in an altered form as the view of the first Greek philosopher Thales that water is the principle of all things. Donnellan adds to this story the assumption that there really was a hermit who thought all was water. However, he lived in a period so remote that neither he nor his doctrines have any historical significance for us today. We would refuse to accept that the hermit was Thales, even if the hermit really satisfied the description. The reason, according to Donnellan, is clear: Thales and not the hermit was at the start of the causal-historical chain.
The answer offered by our neodescriptivist view is that in some cases the description of a causal history is so important that it must be contemplated in the identification rule. More precisely, it must be included in the characterizing description-rule. This is precisely the case with Thales, because what we find important about him is that he came at the start of Western philosophy. Without knowing this historical context, the statement ‘Water is the principle of all things’ would seem ridiculous. Thus, we could summarize the real characterizing definite description belonging to the identification rule for Thales as:
the person who originated the doxography found in Aristotle, and others, which describes him as having been the first Greek philosopher who said that water is the principle of all things, that everything is alive, etc.
As for the localizing description, we at least know that Thales was:
the Milesian who lived from 624 to 547-8 BC and probably once visited Egypt.
In view of this, if we return to Donnellan’s example we must conclude that according to our version of descriptivism the hermit could not have been Thales! The reason is that Thales the well-digger better fulfills both fundamental conditions, in this way satisfying the condition of predominance.
Let us compare the two cases. The hermit does not satisfy any part of the localizing description; all he satisfies is an incomplete part of the characterizing description. On the other hand, Thales the well-digger completely satisfies the localizing description, because he lived in Miletus from 624 to 547-8 BC. And regarding the characterizing description, even if Thales were not a philosopher and never said the principle of all things is water, he remains the person wrongly described in the doxography as the first Greek philosopher who said all is water. Hence, despite everything, our Thales satisfies the fundamental descriptions much better than does the hermit, thereby qualifying as the name’s proper bearer.
Aside from that, one should not forget that depending on whatever details we could add to or subtract from this example, our intuitions would change, leading us to think our Thales never really existed or even that the hermit was the true Thales.
(ii) Another of Donnellan’s counterexamples is a student who talked with a person at a party who he believed was the famous philosopher J. L. Aston-Martin, author of ‘Other Bodies.’ Although the person’s name really was Aston-Martin, he only pretended to be the philosopher. Donnellan notes that the sentence (a) ‘Last night I spoke with Aston-Martin’ is false because it associates the name ‘Aston-Martin’ with the description:
D1: the philosopher who wrote ‘Other Bodies.’
In contrast, the following sentences are true: (b) ‘At the end of the party Robinson stumbled at the feet of Aston-Martin and fell on the ground’ and (c) ‘I was almost the last person to leave; only Aston-Martin and Robinson were still there.’ This is because they are associated with description D2: ‘the man named Aston-Martin whom I met at the party.’ The objection is that descriptivist theory does not explain this change. In (a), (b) and (c), the name ‘Aston-Martin’ should be associated with the same bundle of descriptions that includes ‘the author of “Other Bodies.”’
The obvious problem with this example is that one can always attach a false description to a proper name, confusing it with a description associated with another person of the same name. The student had the wrong characterizing description, ‘the author of “Other Bodies”’, and two correct adventitious auxiliary descriptions. He really did not know the identification rule for Aston-Martin. But since he also had (A) convergent descriptions like ‘the man called “Aston-Martin”’ and (B) an implicit knowledge of the MD-rule for proper names, he was already able to insert the proper name into discourse, even if only to find that he was mistaken.
(iii) A third counterexample suggested by Donnellan is person A, who wearing a special pair of glasses identifies two identical squares on a screen, which are placed one on top of the other. She calls the top square Alpha and the bottom square Beta. The only description suitable for identifying Alpha is its position. Now it turns out that without person A’s knowledge the glasses visually invert the square’s positions. Actually, Alpha is the bottom square. Donnellan believes he has thus demonstrated that the square which A refers to as the square Alpha is, in fact, the bottom square, even if associating it with the mistaken description:
(a) Alpha = the square that A sees as on top.
In response, I propose that A is only referring to the square Alpha, associating with it an erroneous description because it is a convergent description (since it correctly identifies a square in a correct, though not sufficiently specific, spatiotemporal region). This description is correctable to:
(b) Alpha = the square that A sees as on top… even though it is, in fact, the square on the bottom, because A is wearing glasses that invert the positions of the images.
Although observer A does not know description (b), this description is the complete localizing description of the Alpha square from A’s perspective, known by privileged speakers such as B. Speaker B knows that square Alpha is on the bottom because he has the information expressed by localizing description (b), which gives the referent’s mode of presentation. A has a convergent but incomplete and erroneously interpreted description-rule. This is proven by the fact that once she is informed by B about the glasses’ inversion of images, she will immediately replace description (a) with Alpha’s true identification rule (b).
Explanatory failure of the causal-historical view
Finally, let me say something about the causal-historical view. I do not wish to deny that there is some kind of direct, indirect or very indirect causal or causal-historical relation between the utterance of a name and the first tags of a name’s bearer. Even descriptivists like P. F. Strawson did not deny this. After all, we live in a world of causes and effects, and a proper referential link should have some causal dimension. What I reject is the explanatory relevance of the causal-historical view. No one uses it as a form of explanation. If someone asks me who Aristotle was, I do not answer: ‘All you need to do is to continue following my causal-historical chain, without forgetting to keep in mind your intention to refer to the same Aristotle I refer to.’
Indeed, in themselves the causal-historical links will remain inscrutable unless in searching for them we appeal to something like correlative cognitions and consequently to descriptions representing these cognitions. Suppose we had, for instance, an advanced brain scanner able to show that whenever a speaker says the name ‘Aristotle’ and really knows whom he is speaking about, a recognizable neurophysiological pattern arises in his brain. We could identify this pattern as a link of the external causal-historical chain and search for similar links in other speakers. But since in this case we would need to appeal to the speaker’s cognitive-intention, implicitly we would be appealing to descriptions. This shows that the advocate of the causal-historical chain as the only proper explanatory principle commits a petitio principii by presupposing descriptivism. To make things worse, Kripke’s view of baptism is magical, since it cannot really be based on any property of the referent – it testifies to a form of referential mysticism that blocks the ways of inquiry. Indeed, if we pick out some property, we will have
a thought or intention, and consequently this can be in principle descriptively translated. Although philosophically original and challenging, as is much of Kripke’ work, if taken at face value the causal-historical view of proper names can be reduced to a philosophical fantasy that begs the question.
