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segunda-feira, 23 de dezembro de 2024

ANSWERING COUNTEREXAMPLES (4 de 5)

  

 This is part of a developed draft of the book "How do Proper Names Really Work?" (De Gruyter 2023), challenging the present theories of reference.

 

 

IV

ANSWERING COUNTEREXAMPLES

 

My main goal in this chapter is to examine the most insidious counterexamples against cluster-descriptivist theories of proper names suggested by proponents of causal-referentialist theories. I want to demonstrate that the meta-descriptive theory of proper names is able to offer more detailed and convincing answers to these objections, which often fail to distinguish the true identification rules.

 

1. Responses to Kripke’s counterexamples

Beginning with Kripke, let’s first offer some general considerations on objections of rigidity (modal), according to which if descriptivism were correct, then proper names could not be rigid designators, since descriptions are flaccid designators.

   The general answer to this objection is that although no usual description-rule associated with a proper name needs to apply in all possible worlds where its object of reference definitely exists, the description-rule DD (the identification rule) of a proper name necessarily applies in all possible worlds where its object of reference definitely exists. (As we have already seen, there may be possible worlds where one cannot know whether the identification rule of a proper name applies; but such worlds are identical to those where the object also does not have a definite existence, since the very existence of the object is defined by the effective applicability of its identification rule, because it has a definitional character.) Indeed, the modal objection of rigidity, as much as the epistemic objection of undesirable necessity, is answered by the application of MIRF to the clusters of proper names, considering that the resulting identification rules can cope with multiple criterial variations without losing their rigidity.

   Kripke considers cases where our fundamental definite descriptions do not apply, such as the case where Aristotle for some reason didn’t have the “famous achievements” we commonly attribute to him, like having written the Aristotelian opus (1980: 62), or even a possible (even if hardly imaginable) world where Aristotle lived five hundred years later (1980: 62). Even in the case of a disjunction of such properties, he thinks, we could still recognize Aristotle.

   Usually what Kripke suggests are cases of non-application of the characterizing rule accompanied by a tacit application of the localizing rule, or vice-versa (1980: 62-63, 74-75). However, we have already seen that these cases are fully compatible with the application of a proper name’s identification rule. What Kripke never considers, as we have already noted, is a concrete counterexample in which none of the cluster’s descriptions apply to any extent. Indeed, until now no one could give us any counterexample in which the identification rule of a proper name is in no way applicable, although its bearer exists; and this happens to be the case for the simple reason that the proper name’s identification rule simply defines what its bearer can be, which makes such a counterexample inconceivable.

 

The displaced Hesperus

First, I wish to deal with the most ambiguous and deceitful counterexample to descriptivism suggested by Kripke. It concerns the proper name ‘Hesperus.’ He begins by imagining that someone he calls ‘the mythical agent’ decides to fix the reference of Hesperus via a description saying: “I shall use the word ‘Hesperus’ as the name for the heavenly body appearing in the yonder position in the sky” (1980: 57). Kripke then notes that this description cannot express the meaning of ‘Hesperus’, since if Hesperus had been struck earlier by a comet, it might have been visible in a different position at that time. He argues that the name Hesperus is a rigid designator, which means that it cannot be different from Hesperus, even if it occupied a different position in a counterfactual situation (1980: 58).

   A problem with this argument is that in the first moment Kripke seems to be speaking of the first identification of a heavenly body with the help of a description. But in a second moment, he speaks as if Hesperus were a planet baptized much earlier (we assume that in some way a rigid designator must be baptized), and the ‘mythical agent’ were there only to localize the luminous body. If we resolve this ambiguity by assuming that a mythical agent is only a person giving a description of something already named, this description is only a very partial localizing description. But this would be in full accord with our view according to which the rigidity of a proper name is given by its identification rule and not by any definite description belonging to the cluster which one casually applies.

   However, we can elaborate Kripke’s counterexample in ways that strengthen it. Imagine that the name ‘Hesperus’ was coined by astronomers who saw this planet at dusk in the direction of the Sun. Imagine that some time later a rogue planet of the same size collided with Hesperus, so that it would no longer be visible at dusk, or else (to make matters worse) that the wandering planet would become visible in its place at dusk. In this case, it does not seem that with the name ‘Hesperus’ we are now referring to the celestial body that satisfies the description ‘the celestial body visible there at dusk,’ even if we mistakenly believe this.

   To respond to this unambiguous version of the counterexample, I want to consider the argument keeping in mind the meta-descriptivist conception in place of the simplified versions of descriptivism on which Kripke bases his arguments. The elaborated version of the counterexample owes its efficacy to the fact that the proper name ‘Hesperus’ has a double meaning, which can be understood:

 

 (a) as what we see or

 (b) as a discovered planet.

 

My conclusion will be that the new version mixes them unduly, using this mixture as if it were what we really understand with the name ‘Hesperus.’

   Let us consider the first sense of ‘Hesperus,’ the sense (a) of what is seen. ‘Hesperus’ or ‘Evening Star’ can actually be understood as referring to something like the celestial body that always appears to us in the direction of the Sun[1] at dusk and as the brightest object visible in the night sky after the Moon. Certainly, this was what was understood with the name before astronomy advanced to its modern form, at a time when humanity was still unable to differentiate Hesperus, the planet, from Hesperus, a shining angel. In this primitive, archaic sense, the identification rule of what we can call ‘Hesperus-as-the-Evening-Star,’ derived from the application of MIRF (assuming the satisfaction of a C-condition), is:

 

IR-‘Hesperus(-Evening-Star)’:

The proper name ‘Hesperus(-Evening-Star)’ refers appropriately to an object x belonging to the class of celestial bodies

iff

(i-a) x satisfies its localizing rule of being a celestial body that to this day people have always seen at dusk in the direction of the Sun.

and

(i-b) x satisfies its characterizing rule of being (after the Moon and some comets…) the brightest celestial body that has ever been seen by people on Earth.

(ii)       x satisfies the conjunction (i-a) and (i-b) to a degree overall sufficient, and

(iii)      x satisfies the conjunction (i-a) and (i-b) more than any other celestial body.

 

First, it is important to see that we have here a conjunction, not a disjunction. If it were a disjunction, then by the satisfaction of (i-a) alone, any celestial body seen at dusk in the direction of the Sun would satisfy the rule. Once we have this identification rule, it cannot be that that Hesperus does not satisfy the description only because the proper name refers to a mere perceptual appearance. However, today no one uses that archaic sense of the word – although a child may be able to grasp it in that way. In this first sense of the name, if a wandering planet collided with Venus and hurled it out of the Solar System, we would say that Hesperus had disappeared for good, that it no longer exists. And if the wandering planet took the place of Venus, we would say that surely the same Hesperus continues to exist there in the heavens, because its identification rule continues to be satisfied, given that in this sense of the name we are referring only to a mere phenomenal manifestation (which satisfies our phenomenal criterion of temporal identity), and not to a planet. However, as Kripke often refers to Hesperus as a planet, I do not believe he is not properly bearing in mind the archaic sense of the name.[2]

   Let us now look at the most current meaning of the proper name ‘Hesperus’, through which we recognize that it is actually the second planet of the Solar System, which so far has been seen as the brightest planet, appearing at dusk in the direction of the Sun. Let us call it ‘Hesperus-as-the-planet-Venus’ or simply ‘Hesperus(-Venus).’ Here is the identification rule[3] resulting from the application of MIRf (assuming a C-condition):

 

IR-‘Hesperus (-Venus)’:

The proper name ‘Hesperus (-Venus)’ refers properly to an object x belonging to the class of planets of the Solar System that has been seen at dusk as the brightest celestial body (after the Moon) in the direction of the Sun

iff

(i-a) x satisfies its localizing rule of having been to this day the second solar system planet, which has orbited the Sun between Mercury and the Earth during the time it has been identified as such and probably has been doing so for some billions of years,

(and

(i-b) x is a planet with ca. 80% of the mass of the earth and a hot, dense, reflexive, very acidic, poisonous atmosphere,)

(ii) x satisfies (i-a) to an overall sufficient extent, and

      (iii) x satisfies (i-a) more than any other planet.

 

The first thing to be noted concerning this identification rule is that it is a one-foot rule that can be expressed as containing a conjunction of fundamental description-rules in which only the first conjunct plays an effective role. The localizing description (i-a) is what really counts, since the non-satisfaction of (i-b) or the satisfaction of (i-b) by another planet would make no real difference. If ‘Hesperus(-Venus)’ didn’t exist in our solar system because it had only one planet, this would not be ‘Hesperus’(-Venus), even if it satisfies (i-b).[4]

   Let us now consider what we should say regarding the proposed case of a wandering planet that collided with Hesperus(-Venus), hurling it out of the Solar System. Should we say that the planet thrown out of the Solar System isn’t the planet Venus anymore, since it no longer satisfies the localizing rule of being the second planet in the Solar System? Of course not! For according to IR-‘Hesperus(-Venus)’, this would be the wrong answer. The condition (i-a) does not say that Hesperus(-Venus) must in the future (or after the time of its constitution) continue orbiting the Sun as the second planet. It does not even demand that the planet we now see is still Venus… It could be that sometime in the future someone will need to add the discovery that after the year so-and-so some object like Venus was thrown out of the Solar System and took a very unexpected path through the universe, but this should be before our discovery of Venus as a planet.

   More can be said about that. One could confuse IR-‘Hesperus(-Evening-Star)’ with IR-‘Hesperus(-Venus).’ And I guess that Kripke, in his short example identifying Hesperus with the celestial body visible there, went in that direction.[5] If we use the IR-‘Hesperus(-Evening-Star)’ for a situation in which IR-‘Hesperus(-Venus)’ should be applied, we cannot explain why the planet Venus, once it disappeared from the Solar System, would continue to be recognized by us as Venus, for it fails to satisfy both the localizing and characterizing conditions, contrary to our intuitions. Moreover, it could be discovered that this replacement occurred one million years ago, leading us to the conclusion that Hesperus(-Venus) did not belong to the primitive solar system. Furthermore, if a bright wandering planet had taken the place of our planet Venus, and we now used the IR-‘Hesperus(-Evening-Star)’ instead of the IR-‘Hesperus(-Venus)’, we would not be able to explain why the celestial body visible now is not our Venus anymore. But if we tacitly apply the description ‘the heavenly body appearing in the yonder position in the sky’ to the planet IR-‘Hesperus(-Venus)’ as if it were used for the IR-‘Hesperus(-Evening-Star)’, we could then complain that that description did not account for the replacement of Hesperus. I believe Kripke was a victim of this kind of confusion.

   Finally, we can make another twist in the example. Suppose that in another possible world near ours, 1 billion years ago a wandering planet collided with the second planet of the Solar System, a bright evening star like Venus, breaking it into an immense number of fragments that dissipated into space together with the wandering planet. In this possible world, it seems there was a Venus that once was the second planet in the solar system, and existed from 4.5 billion years to 1 billion years ago. Taking the side of Kripke, one could object that we now have no description able to explain why we think we can call that earlier original planet Venus (or Hesperus).

   However, in this case it is perfectly possible to say that what we understand as the planet Venus, satisfying IR-‘Hesperus (-Venus)’, does not actually exist in this possible world. Even in Kripke’s own terms, we have not found a baptism or even anything that satisfies an assumed causal condition of the type of Cc.

   We can, however, imagine. We can imagine, for instance, that there was once an advanced civilization in this possible world that was able to know that Venus (or Hesperus) really existed before the collision and that it satisfied an IR-‘Hesperus(-Venus)’, to be applied from 4 billion years to almost one billion years ago. For that civilization this planet satisfied the identification rule derived from MDRF, including some causal path originating the hypothesis, so that the proper name ‘Venus’ (as much as Hesperus, since the inhabitants also know that it appeared as the brightest celestial body in the direction of the Sun at dusk) continues to refer to the planet based on descriptions, without ceasing to be a rigid designator. In this case we could even, because of the similarity of rules, call this Venus our Hesperus in that possible world, even if it was no longer the brightest celestial body seen at dusk in the direction of the Sun, but that could be seen that way more than a billion years ago… This would be their temporally dystopic Venus and, consequently, also their Hesperus as Hesperus(-Venus).

 

Rigidity and rule changeability

Let us now look at the objection of undesirable (epistemic) necessity. This objection is based on Kripke’s finding that proper names, being rigid designators, necessarily apply to their objects. According to him, because no proper definite description necessarily must apply to its object, proper names cannot be reduced to descriptions.

   Considering that this objection, as we have seen, applies only to a caricature of descriptivism, it would be even more foolish to want to apply it to meta-descriptive theory. What necessarily applies, if the object definitely exists, is in the normal case only the identification rule that we derive from the application of MIRF to the cluster chosen to name it (i.e., at least one fundamental description must be sufficiently and predominantly applicable to something). Thus, as we have also seen, the identification rule for the proper name ‘Aristotle’ can be transformed into a necessarily applicable definite description, abbreviated as:

 

        DD-‘Aristotle’:

the person who sufficiently and predominantly satisfies the descriptions of a person born in Stagira in 384 BC, the son of Amyntas II’s court doctor, who lived in Athens and died in Chalkis in 322 BC and/or the person who was the author of the philosophical ideas developed in the Aristotelian opus.

 

In considering this issue, we should not forget that descriptions constituting the meaning of a proper name can easily be altered (when auxiliary), and very often more and more detailed (when fundamental), or even minimally altered (e.g. if it turns out that our Aristotle was actually born in 379 BC, and this is incorporated into the extended identification rule, so that he becomes a person born in 379 BC who was previously thought to have been born in 383 BC[6]), but cannot be truly changed in such a way that it loses the possibility of being applied to one and the same object, differentiating it from all others in any reasonably conceivable circumstance, not only because it is the very rule that defines what it is, but also because the existence of its object is no more than the effective (warranted and continuous) applicability of the identification rule or, to put it in a more intuitive way, the disposition of the object to be not only something conceivable, but also something whose identification rule is effectively applicable to itself.

   Suppose that it were discovered that Aristotle wrote nothing, while his smart students wrote all his works, including the Metaphysics and the Nicomachean Ethics; to make matters worse we find that he was not born in Stagira, but years later in Magna Graecia, dying in Athens. These unlikely discoveries would have to be accompanied by many other changes in our historical knowledge. Intuitively, we have a different Aristotle. Corroborating our intuition, MIR-‘Aristotle’ will probably no longer apply. But it won’t make sense for us to say that MIR-‘Aristotle’ can be altered to identify this new Aristotle as being the same as our old Aristotle, who no longer exists. The flexible character of the rules for identifying proper names should not be confused with the possibility that they can be  altered in a measure that intuitively would destroy their rigidity. Once its limits of flexibility are exceeded, the identified object will no longer be the same, since the identification rule will be considered the identifier of another object. We can summarize the point, adopting the maxim that the limit of the alteration is the limit of rigidity. Limits of applicability are blurred, since the tolerance to change depends on a multiplicity of elements (remember the case of the 52nd regiment of Fot). But even this fact does not eliminate the rigidity of proper names, just as the sorites paradox does not eliminate what we see as heaps of sand. Therefore, the objection that the changeability of our rules of identification destroys rigidity is not convincing.

   A curious case of the impostor named ‘Arthur Orton’ may be of some help in clarifying the issue. Born in England and having gone to sea at an early age, he was certainly identified through rules of localization and characterization by all who knew him. Years later, when he was in Australia, he read in a newspaper that an English woman, Lady Tichborne, was searching for her son Roger Tichborne, who had disappeared in a shipwreck in the Atlantic, and she refused to believe he had died. Back in England, despite his lack of resemblance to Roger Tichborne, Orton introduced himself as her son. Immediately “recognized” by the elderly lady, he lived in her son’s place at least until the death of Lady Tichborne three years later. After that, however, the ill-fated Orton was charged with fraud by relatives of Lady Tichborne (who never believed his claims), convicted, and sentenced to 14 years in jail. Note that the characterizing description by which we today know Orton is that of a great impostor. Orton was a person who falsely passed himself off as Lady Tichborne’s son by the very partial sharing of an identification rule with a high degree of vagueness in the localizing description and almost no characterizing description, though reinforced by the English lady’s desire to believe. That is: rules for identifying the same object that are so vague that they allow the identification of different objects in different possible worlds, cannot be considered the same rules, and the identification rule of Arthur Orton is by far excessively different from the identification rule of Roger Tichborne. Anyway, during the time of Orton’s life, mainly for ideological reasons, the point was publicly disputed. If this case shows anything, it is the difficulty of determining the limits of application of an identification rule when strong psychological and socio-ideological factors are involved.

 

Gödel-Schmidt’s case

Let us now move on to Kripke’s most famous example. It concerns the description that most people associate with the logician Kurt Gödel, which is: ‘the man who discovered the incompleteness of arithmetic’. Kripke asks us to imagine that Gödel did not actually discover the incompleteness theorems. Suppose, says Kripke, that Gödel had a friend, an unknown logician named Schmidt, who alone first developed the theorems of incompleteness in an unpublished article, but died soon after in suspicious circumstances. Gödel then stole the article and published it under his own name. Also imagine that, like many other people, all that a certain person, whom I will call Mary, associates with the name ‘Gödel’ is the description ‘the discoverer of the incompleteness theorems of arithmetic.’ In this case, Kripke thinks, according to descriptivism, when Mary learns that it was Schmidt who discovered the theorems of incompleteness, she must conclude that the name ‘Gödel’ means the same as ‘Schmidt’, that is, Gödel is Schmidt. But that is not what happens. It remains quite clear, even to Mary herself, that Gödel is Gödel and not Schmidt.[7]

   Disagreeing with Kripke’s analysis, John Searle noted that a person like Mary will say that Gödel is not Schmidt because she understands by Gödel “the man my community claims has the name Gödel, or at least those members from whom I learned that name, assuming that something else is required.”[8] Indeed, if all Mary knows about Gödel is that he discovered the incompleteness of arithmetic, and if she still thinks this is enough for his identification, then she does not understand the grammar of proper names, does not know what a proper name is, and is not able to give it meaning.

   Now, based on our analysis of the form of the identification rule for proper names we can explain this something else that according to Searle the person assumes to be required. Just look at the identification rule generated by MIRF and the conditions (i-a) and (i-b). This alone leads us to realize that Kripke’s conclusion is incorrect. After all, it does not take account of the identification rule that the linguistic community must have for the name ‘Gödel,’ which includes the assumption made by Mary, as a competent speaker of the language, that she does not know enough to be led to conclude that the reference has changed its bearer (Mary certainly grasps MIRF, knowing that she does not know).

   To take a better look at the case, let’s first consider what the identification rule for the name ‘Gödel’ would be like for the privileged namers of our linguistic community. From the point of view of these users, there are two reasons why Gödel should not be identified with Schmidt. First, the description ‘the discoverer of the incompleteness theorems’ is no more than part of the characterizing description-rule for Gödel. The incompleteness theorems were only the most important of Gödel’s varied contributions to science. Also, even without being Schmidt, Gödel was a sufficiently competent logician to work for many years at Princeton, where he had friends like Albert Einstein. Thus, the characterizing rule for Gödel would remain partially satisfied by the name ‘Gödel’ (say, 2/3 of it), even if he had not discovered the theorems of incompleteness considered in the example. Furthermore, the main reason why the linguistic community will continue to call Gödel ‘Gödel’ is that the localizing description-rule remains fully satisfied by Gödel! After all, it remains the same localizing rule for Gödel, having nothing to do with the unknown localizing rule for Schmidt. Summarizing, here it is:

 

Localizing rule: the man who was born in Brünn in 1906, studied at the University of Vienna, and in 1940 emigrated via the Trans-Siberian railway to the USA, where he worked as a logician at Princeton University until his death in 1978.

 

So, after all, the identification rule remains much better satisfied by Gödel than Schmidt, at least for those who really know this rule, the name’s privileged users.

  Now, what about Mary? She is not a privileged user. She does not know the localizing description-rule for Gödel. However, she is assumed to be a competent speaker of the language, and as such, she knows that she does not know enough of the identification rule for Gödel. Knowing that she lacks information about the localizing description and that she does not have sufficient information about Gödel, she simply suspends her judgment (following SCB-2). After all, her mastery of the grammar of proper names leads her to conclude that she does not have enough elements for the assertion that Gödel is Schmidt. Mary is certainly aware that by associating the name ‘Gödel’ with the description ‘the person who established the proof of incompleteness in arithmetic’ she knows only part of Gödel’s characterizing description-rule, which should be more completely known to certain other members of the linguistic community. But the crucial point is that, as a competent speaker of the language, Mary knows that since Gödel is the name of a person, there must also be some description-rule of space-time localization for Gödel which she does not know – a rule that must be different from the localizing description-rule for Schmidt, since the information she has is that Schmidt is another person (Gödel could not kill himself in order to steal his manuscript). Knowing this and knowing that she does not know the localizing description rule, she knows that she is not in a position to conclude that Gödel is Schmidt. However, as privileged speakers, we know that Gödel cannot be Schmidt. She knows only that she does not know enough about the name Gödel to reach the conclusion that Gödel is Schmidt.

  There is something odd about it all. As at least part of one of Gödel’s two fundamental descriptions is satisfied by Schmidt, it can be said that Schmidt now inherits something of the meaning of the name ‘Gödel,’ even if it does not gain his reference. And that really happens. Let us say that a logician, disgusted by news about the theft of the theorems and feeling pity for Schmidt’s fate, exclaims: “Schmidt was the real Gödel!” This would be a true statement if understood as hyperbole. And the reason is given by the meta-descriptive theory which predicts that the name ‘Schmidt’ inherits something relevant, even if unqualified, from the meaning of the name ‘Gödel’.

   There is, finally, a way to make Gödel really be Schmidt, but while it lets Kripke have his cake it does not let him eat it. Imagine the unlikely story of a young man named Schmidt, who for some reason murdered the teenage Gödel and then assumed his identity. However, Schmidt was not just a cold-blooded murderer, but also a genius as a logician. He studied at the University of Vienna, discovered the proof of the incompleteness of arithmetic, married a dancer named Adele, fled Nazism via the Trans-Siberian railway, and became a professor at Princeton, where he died in 1978. So, do not be fooled by appearances: that skinny man standing close to Einstein in the famous photo of both was in fact the criminal Schmidt! In that case there is no doubt that Gödel is Schmidt. And the identification rule explains this. He is Schmidt because the predominant characterizing and localizing description-rules – apart from less relevant descriptions concerning a remote childhood – are those of Schmidt and not of the child who was once called Gödel and has long since ceased to exist.

 

Semi-fictional proper names

Let us now look at cases involving fictional proper names. They are important because they illuminate the social character of the representational contents involved in the reference.

   A special case of ignorance and error (in addition to undesirable necessity) clarified by Kripke was that of partially fictional proper names, such as Jonah the biblical Prophet. He distinguishes such cases from those of purely fictional proper names, such as Santa Claus. Even though there was a Christian Saint Nicholas in the past, we know that our Santa Claus has nothing to do with him and that it is a case of a mere accidental homonym, as much as Napoleon as the name of a historical figure can be also the name of a pet dog so baptized. But the same does not occur, thinks Kripke, in Jonah’s case (1980: 93, 97). According to the Bible, Jonah was a prophet sent by God to the city of Nineveh to convert the pagans. Irresolute, he tried to flee from God on board a ship that sank in a storm and was swallowed by a great fish, which saved him from drowning. Of course, no one believes these descriptions to be literally true. Even so, Bible scholars believe that there really was a person who originated the story. But if so, then descriptivism is wrong, for we have no description capable of uniquely identifying Jonah.[9] And the causal theory must be right, because the semi-fictional use of the name should really begin on the basis of its bearer (Kripke 1980: 67-68).

   A more appropriate example of a semi-fictional name is that of Robin Hood (Lycan 1999: 70). Historians believe that the legend of Robin Hood is based on some real person who lived in the 13th century. Among the candidates, however, are people who were not poor and not outlaws, did not take from the rich to give to the poor, did not live in Sherwood Forest, and were not even called Robin Hood! However, the referent of this partially fictional figure is supposed to be one and the same person, even though it does not properly satisfy any description. For a philosopher like Kripke, the reason we are dealing with people who really existed is that the causal chain leads us to a real person, independently of any description. Thus, causal-historical theory seems to possess an explanation for something that descriptive theory is not able to explain, namely, semi-fictional names.

   Before we respond, it is helpful to remember that there are things that can be accepted as bearers of a name and others that cannot. Considering the last case, I give an example of a possible cause of the story of Jonah and the whale, followed by two examples concerning Robin Hood:

 

1)     Suppose that an ancient biblical scribe stepped on a sea urchin and that in the painful period of convalescence that followed, memories of the accident inspired him to invent the story of Jonah.

2)     While crossing a forest at night some 13th-century storyteller was ambushed by an unknown assailant, who beat him unconscious. This accident moved him to imagine Robin Hood’s story.

3)      A medieval bard had a brave, faithful dog that followed him when hunting in Sherwood Forest. This dog had been baptized ‘Robin.’ The dog inspired him to imagine the story of a hero named Robin Hood, who lived in the forest and robbed the rich to help the poor.

 

Obviously, no one will say that the sea urchin is Jonah, that the unknown thief is Robin Hood, or that the dog baptized with the name ‘Robin’ was Robin Hood, just because they can be considered the ultimate causes of the subsequent invention of the character. Someone may at this point object that for Kripke the causal-historical chain needs to be associated with an act of baptism. But the dog named ‘Robin’ was baptized with that name. Why, then, if this could be proven, would we reject the conclusion that Robin Hood is the name of a brave, loyal medieval dog? What is more, this would not have happened with the name ‘Robin Hood’ in a case where the person who originated the legend had been baptized, as some suggest, under another name. As for the name ‘Jonah’, we can still imagine that the ancient scribe kept the sea urchin in his house and that soon after inventing the story of Jonah, telling it to his friends, he had taken the sea urchin in his hands and said, “That is why I baptize you with the name Jonah”. It does not seem that he would in this way have become able to originate a causal chain capable of making us apply the name ‘Jonah’ to the sea urchin, for Jonah should have been a person, while a sea urchin would never have been more than a sea urchin, just as the dog would never have been more than a dog. From our side, however, things cannot be that way. MIR rules require proper classification, in the case excluding sea urchins and dogs. Identification rules for names of humans resulting from MIRs solve the problem, since they forbid non-human beings from being eventual recipients of proper names such as those of the biblical Jonah and the legendary Robin Hood.

   Why do we recognize the causal chain as appropriate for the name bearer in certain cases and not in others? The answer already adumbrated in a previous chapter is that the cause we recognize as adequate is one capable of satisfying cognitive elements that we associate with the name. Therefore, it is more than reasonable to think that in cases of semi-fictional names such as Jonah and Robin Hood, even if there is a causal chain, what confers adequacy (even if only in a considerably vague way) on this causal chain, are descriptively expressible cognitions from which we have received the stories of Jonah and Robin Hood, and which suggest where and when they were disseminated and elaborated. Indeed, from biblical history, we infer something of the localizing description. We infer something of the disjunctive rule containing the localizing description of Jonah as a person who lived in biblical times (between 1,000- and 600-years BC) somewhere in the Middle East, if not something of the characterizing description, such as that he would have been a person belonging to the Hebrew religion. And as for the person propagated in the legend of Robin Hood, we know that the person must satisfy something of the disjunctive rule containing the localizing description of having lived in England around the 12th to 13th centuries AD, if not something of the characterizing description, something very vague, such as the property of having been a sort of fighter that inspired Middle Ages ballads about him. In addition, in both cases, vague causal lines may be assumed. According to MIRF, the admission of grounding by a supposed satisfaction of fundamental description-rules still too generically known, would be what makes these semi-fictional names indicators of things allegedly real. The exclusion of such descriptions let us without any reason to believe that Robin Hood is more than a purely fictional figure. It is true that these descriptions are unqualified for the unambiguous identification of Jonah and Robin Hood, but that is not what we want from them; because after all, we are not in fact able to identify these people. What they allow us to do is just to propose plausible hypotheses suggesting that these legendary persons really existed.

   We can distinguish two elements in the descriptions associated with the names of semi-fictional persons. The first is (a) the merely fictional element, consisting of generally colorful and fanciful descriptions, which were not meant to apply to reality, such as Jonah’s suffering inside the fish or the fanciful heroic deeds of Robin Hood. The second is (b) the non-fictional element: it is based on the very vague localization and/or characterization descriptions considered above, which are too vague to allow trustworthy real identification. These vague descriptions should be implied by unknown localizing and characterizing rules that, we assumed, could be completed if we had sufficient information about the name’s bearer. What defines what we call a semi-fictional person is the inclusion of imaginary details, based on unqualified identifying criteria that originally would have been bequeathed to us. Added to this is the difficulty that comes from the impossibility of a satisfactory dissociation of what is a mere product of the imagination from what would be remaining traits of original identifying criteria.

   There is reason to think, however, that in some cases this distinction could be clarified, transforming the semi-fictional proper name into a real proper name. Imagine that scholars discover documents proving that Robin Hood was in fact a man called Robart Fitz Odo, an outlaw who really lived in Sherwood Forest in the late 12th century, linking this bearer to medieval ballads... In this case our presently too vague localizing and characterizing descriptions are filled with details that are sufficient to allow the identification of our present alias with its real bearer. However, suppose this is not the case. In this case we may be faced with the possibility of having examples identical to that of Santa Claus, whose connection with some original historical person is merely accidental. There is, consequently, an expected parallel between the uncertainty associated with semi-fictional names and the insufficiency of the descriptions that we are able to associate with them.[10]

 

Elliptical and incorrect descriptions

The most interesting form of objection of ignorance and error is one in which Kripke demonstrates that people can usually make a proper name refer, even when it is associated with only one indefinite description or an incorrect description. Examples of the first case are the names ‘Cicero’ and ‘Feynman’, which many have associated only with some indefinite description such as ‘a famous Roman orator’ for the first and ‘a great American physicist’ for the second. Only a few people would be able to explain the political discourses of Cicero or discuss Feynman’s contributions to micro-physics. (1980: 81-82) Even so, people are able to refer to Cicero and Feynman using such indefinite descriptions. More than that, people are able to use proper names referentially, even when they associate blatantly erroneous descriptions with them. Kripke noted that in his days many Americans associated the name ‘Einstein’ with the description ‘the inventor of the atomic bomb.’ With this phrase people could already refer to Einstein, he believed, although the atomic bomb was produced by the scientists of the Manhattan project, which Einstein never participated in. (1980: 85)

   We can return here to the previously stated response that the description the speaker has in his mind can be successful in a derived sense of what I called an unqualified reference, insofar as it satisfies the criterion of success for unqualified references, which is constituted by the convergence condition (to insert the name in the right class) and the condition of linguistic competence (to know RMIF). This criterion is satisfied by all the examples above. Thus, by associating the names ‘Cicero’ and ‘Feynman’ with indefinite descriptions, and even associating the name ‘Einstein’ with an erroneous but convergent description, people already become able to communicate them sufficiently to put them in the orbit of the reference. That is, they become able use them in linguistic practices where their role is sufficiently vague and adequate to be read by other users as also satisfying the conditions SCB-1 and SCB-2, under the assumption of the existence of privileged namers able to refer self-sufficiently to their bearers.

   For example, one can use the proper name Feynman to say I have heard he was a famous physicist who once performed with members of a samba school, in front of the Copacabana Palace in Rio de Janeiro… without knowing anything about his contribution to quantum electrodynamics, but already classifying him as a scientist. This weak form of reference, although clearly unqualified (one will not identify Feynman in this way), will be, according to the context, accepted by others, some of them knowing something more about Feynman. For instance, they will know that he was an American physicist, but always under the assumption that there are privileged speakers who know the real localizing (Caltech, USA, etc.) and characterizing (creator of quantum electrodynamics, etc.) description-rules belonging to the identification rule for Feynman. Concerning an incorrect definite description such as ‘the inventor of the atomic bomb’ associated with the proper name ‘Einstein’, the speaker already knows that the name refers to a scientist and a human being, and so he is already able to insert the name in non-demanding dialogical circumstances. If someone says that Einstein invented the atomic bomb, others can understand that the person is speaking about a famous scientist, maybe also believing that he invented the atomic bomb, and still some others will be able to understand the name and make the due correction, under the contextual assumptions that the speakers wanted to refer to the same famous scientist they referred to with that name. In all these cases we have enhanced reference borrowing at work. However, there are limits to this, which are reached in the case of what I have called failed (unhappy) references. As I have already noticed, if a person uses the name ‘Cicero’ to designate a small bird, if person uses the name ‘Feynman’ to designate a brand of perfume, or ‘Einstein’ to designate a diamond, these uses will be contextually so inappropriate that no one would say that the speaker is referring to the expected object. He has failed in referring to the same class of things to which we refer in using those names, being therefore unable to adequately insert them in dialogical situations. Not even an unqualified reference is achieved here.[11]

   It would be possible to object to the descriptive response that the main reason we remember the physicist Robert Oppenheimer is that he was the person most responsible for producing the first atomic bomb. Hence, anyone who says Einstein was the inventor of the atomic bomb is using the characterizing rule for the name Oppenheimer, which means that he is using a characterization that should refer to Oppenheimer and not Einstein, which is a mistake...

   The answer to an objection like this, in addition to relying on the success criterion for unqualified references, depends on what is being emphasized. If the sentence were “The inventor of the atomic bomb was Einstein”, the speaker would in fact be corrected with the answer that the person most responsible for the atomic bomb was the physicist Oppenheimer and not Albert Einstein. However, when the name ‘Einstein’ is in the usual position of the subject, what the speaker emphasizes is the rule associated with the auxiliary description ‘the bearer of the name “Einstein”’, which is assumed as belonging to the definitional rule IR-‘Einstein.’ The subject’s usual position only becomes important when the information is more detailed. If a person said, “Einstein was the excellent theoretical physicist who directed the Manhattan project in which the first atomic bomb was produced, having been born in 1904 and died of cancer in New York in 1967”, we would not correct him by saying that Einstein was not responsible for the atomic bomb; we would say that the proper name ‘Einstein’ is mistakenly being used to refer to Oppenheimer.

 

Circularity

A final influential argument from Kripke appeals to circularity: the name ‘Einstein’, he says, cannot be explained by the description ‘the creator of relativity theory,’ because the name ‘relativity theory’ is explained by the description ‘the theory created by Einstein’. (1980: 81-82) A similar circularity he points to concerns the explanation of the proper name ‘Giuseppe Peano’. Many of us associate this name with the description ‘the discoverer of the axioms of arithmetic’. This is, however, a mistake. Peano only improved the axioms, adding to his text a note in which he correctly attributed their discovery to Dedekind. The mistake, according to Kripke, was perpetuated. One solution, he writes, would be to say that Peano is ‘the person most experts refer to as Peano’. But that solution would be circular. How to identify Peano experts? Suppose they are mathematicians. It may be that most mathematicians mistakenly associate the name Peano with the description ‘the discoverer of the axioms of arithmetic.’ We could then suggest recourse to the description ‘the person most Peano-experts refer to with the name Peano.’ But this solution would also be circular, because to identify Peano-experts, we already need to have identified Peano, thus already knowing know who Peano was. (1980: 84-85)[12]

  These circularity objections are clearly fallacious, and I wonder if anyone has ever taken them very seriously. It is certainly in principle possible that someone could learn the theory of relativity independently of any reference to Einstein’s name. This could become usual someday in the future… And as for Peano, if all you think you know about him is that he was the discoverer of the axioms of arithmetic, that is a false but convergent description. Now, just type ‘the axioms of arithmetic’ in Google, and soon you will find out that you are mistaken: Peano’s achievement was an improvement on previous developments. But because it is convergent, the description already implies true information, such as the fact that Peano was a famous Italian mathematician. So, realizing the mistake, you start again by guiding yourself through the new information. To learn more, you can do research in an encyclopedia or a book on the history of mathematics. There you will find more detailed information conveyed by clusters of descriptions of major or lesser importance offered by specialized mathematicians. In possession of this information and a bibliography, you will come up with specific texts on Peano written by experts on Peano, and finally, texts written by Peano himself. More importantly, in this case, you will come up with biographies of Peano explaining fundamental description-rules, the localizing and characterizing rules.

   This makes it clear that the whole process is not circular, but arises in what we could call an ascending swinging movement: based on the generic preliminary information I1 (in the case derived from an equivocal description) about x, we are able to search and find the additional information I2 on x. Based on the set of information {I1, I2} on x, we become able to search and find the information I3 about x; and based then on the set of information {I1, I2, I3}, we come to I4 and so on. Of course, each new body of information acquired already contains the previous information and the initials, including corrections of possible errors, which can give some careless reader the impression of circularity... But that is not enough to make the process circular, since it is the information added to, and not the information saved or removed, which helps us acquire more knowledge.

 

2. Pierre’s puzzle

In 1979 Kripke presented a problem that seemed to call into question both the descriptivist and the referentialist answers to the problem of reference (1979: 239-283). Pierre is a Frenchman who as a child believed in the truth of the sentence “Londres est jolie” (London is pretty), because he had seen beautiful drawings of the city. As an adult, due to a strange set of circumstances, he went to England to live in a quite unattractive part of London, where he stayed without knowing any other part of the city. After he saw his surroundings and made the acquaintance of his uneducated neighbors, he came to believe the sentence “London isn’t pretty” was true. Because he learned English only through direct contact with his neighbors, he continued to hold both beliefs without realizing their contradiction. According to Kripke, Pierre is not satisfying what he calls a disquotational principle, according to which to give one’s assent to a sentence “p” one needs to believe in the proposition that p. But Pierre agrees with the sentence “London is not pretty” without giving up his belief in the truth of the proposition expressed by “Londres est jolie.” And this is understandably puzzling.

   There are also background worries. If you are an externalist/referentialist and think that the meaning of a proper name is its reference, then Pierre must know that either London is not pretty or Londres est jolie, since ‘London’ and ‘Londres’ mean the same thing. Considering that the causal-historical origins of ‘Londres’ and ‘London’ are the same, it is difficult for an externalist to figure out why Pierre is unable to realize that he is attributing contradictory predicates to the same reference.

   The meta-descriptive explanation of the proper name’s reference mechanism easily solves the “Pierre puzzle”. He somehow doesn’t know that ‘Londres’ refers to the same city as ‘London’. Of ‘Londres’ he has only the vague identifying description (i-a) “Londres est un village” (London is a town), and the auxiliary description inscribed in (i-b) “Londres est jolie”, which allows a rather unqualified reference to the city of London. But regarding the word ‘London’ (we might suppose) he knows something of the localizing description (ii-a) ‘A city located on the banks of the River Thames in England’ and something of the characterizing description (ii-b) ‘London is the capital of the United Kingdom’, in addition to knowledge of the faulty auxiliary description, (ii-c) ‘London is an ugly city’. Since the overly vague identifying descriptions (i-a), together with the auxiliary description inscribed in (i-b), and the identifying descriptions constituting group (ii), do not have enough in common to identify the same city among many others, Pierre cannot associate them, remaining unable to realize that descriptions of group (i) and descriptions of group (ii) refer to the same city. Frege, as we learned from his comments on Dr. Gustav Lauben in chapter I, would already have known how to solve this “puzzle” in 1918. Finally, regarding the disquotational principle, Londres’ is associated with descriptions (i-a) and (i-b), while ‘London’ is associated with the descriptions (ii-a), (ii-b), and (ii-c), which makes the propositional contents “Londres est jolie” and “London is pretty” different in their constituents, justifying differences in beliefs and assents.[13]

   A further problem is how we treat the concept of proposition regarding the disquotational principle. If the proposition is seen from an externalist viewpoint, as a singular Russellian proposition, I have nothing to say about Pierre’s puzzle. But if the proposition is treated in a neo-Fregean way, an internal cognitive content of thought that could be equated with a kind of Wittgensteinian verifiability rule, requiring the satisfaction of a variety of criteria, then we can say that for Pierre “Londres est jolie” and “London is pretty” have different constitutive mental tropical belief-properties, which dissolves their supposed contradictoriness.

 

3. Answering Donnellan’s counterexamples

In addition to Kripke’s objections, we need to address some counterexamples suggested by Keith Donnellan in his important 1970 article, where he defended a causal-historical theory similar to Kripke’s. These insightful counterexamples are dialectically fruitful for further developing some aspects of the neo-descriptivist view explained in this book.

 

Thales, the well-digger

The most interesting counterexample concerns the philosopher Thales, about whom we know little more than the definite description ‘the ancient Milesian philosopher who proclaimed that everything is water’. Imagine now that our sources, Aristotle and Herodotus, were misinformed, and that Thales was just a world-weary well-digger who, exhausted by his hard labor, exclaimed, “I wish everything were water so I wouldn’t have to dig these damn wells!” (1972: 374) Suppose that with little knowledge of the local dialect, a traveler mistakenly understood this as the profound insight of a great philosopher concerning the ultimate nature of reality. This erroneous interpretation was perpetuated by Herodotus and Aristotle, who eventually bequeathed it to the philosophical tradition. Apart from that, Donnellan imagines that in more ancient times there was a hermit who never shared his ideas, but who really claimed everything is water. According to him, a descriptivist should say that the name ‘Thales’ really refers to this hermit, for he was the true bearer of the definite description ‘the philosopher who said that everything is water.’ But that is not what would in fact happen. Our tendency, Donnellan writes, would be to think that with the name ‘Thales’ we are not referring to the hermit, but to the well-digger, although he does not satisfy our description. We make references, he suggests, due to some causal-historical connection between the referent and the speech act (1972: 377). That is, what really counts for the reference of a proper name is the causal-historical chain that would begin with some first linguistic tag of Thales, even if this reference was later associated with erroneous descriptions. In favor of this conclusion is the fact that there is no causal relationship between our use of the name ‘Thales’ and the hermit. Suppose the definite description ‘the philosopher who said the world is made of water’ were remembered by successive generations of philosophers as related to the name ‘Thales’. The thoughts of the hermit (perhaps never communicated to anyone) cannot make this proper name refer to him, simply because a causal-historical relationship is lacking.

   Let us first see how John Searle answered this counterexample. He began by relativizing Donnellan’s conclusion. He does this by devising a version of the example that seems to contradict the causal-historical view. Suppose that Herodotus had a well where a frog was able to emit sounds resembling “Everything is water”, and the frog belonged to a species called ‘Thales’. He could have said, “Thales said that everything is water,” himself giving rise to the misunderstanding. But if the causal-historical theory is correct, once enlightened about this fact, we should conclude that the name ‘Thales’ refers to the frog in Herodotus’s well, which is certainly not the case. What we would conclude, of course, is that Thales never existed. It seems, therefore, that causal origin alone isn’t enough. (Searle 1983: 252-253)

   What Searle notes we have already considered, since the identification rule for Thales must demand that he belongs to a class G of human beings, and not that of talking frogs. However, what I wish to note here is that our metadescriptivism is not only able to produce a more complete response to Donnellan’s counterexample, but a response that enriches our own proposal. This can be made by the introduction of descriptions belonging to what in the previous chapter we called a causal record. We can understand these as descriptions of those cognitively charged nodal events outlined by causal-historical chains. Searle seemed to have realized this when he observed that:

 

When we say, “Thales was the Greek philosopher who maintained that everything is water”, we don’t just mean that anyone maintained that everything is water, we mean the person who was known to other Greek philosophers as arguing that everything is water, who was referred to in his time or subsequently by some Greek predecessor with the name ‘Thales’, whose works and ideas came to us posthumously through the writings of other authors and so on (1983: 253).[14]

 

Something remarkable about Thales is that his importance lies largely in his specific place in the history of Western philosophy, which was that of its origin. Because of the resulting long causal-chains and stories, what justifies the application of the name has largely been the belief in what was said by a great variety of descriptions presented by other philosophers that demonstrate his place, presence, and influence as the first Greek thinker to be properly called a philosopher.[15] After all, if any contemporary philosopher suggested that everything is permeated by water, this statement would be considered simply ridiculous. As a result, if we could discover that Thales was just a well-digger, we would tend to hesitate between conceding that he really was a well-digger and (as Searle also noted) deciding that the philosopher ‘Thales’ simply never existed.

   It is interesting in the case of Thales to consider all the real historical data, since they are few and allow us to have a good grasp of the concrete path towards reference. When we examine the data, we see that even if we cannot cognitively rescue supposed causal-historical chains, we can cognitively salvage important traits left behind by causal chains that are constitutive elements of a causal record. That is, we can recover important, historically remembered space-time events showing nodal points of causal chains, mainly through representational repetitive links that occurred in the minds of some people and are capable of being linguistically manifested, not necessarily dependent on their factual truth. In Thales’ case, there are well-known descriptions, such as that he was ‘the person secondhand identified by Aristotle in the doxography as the pre-Socratic philosopher who stated that water is the principle that originated the world and permeates everything, and that all things are full of gods...’ (Kirk & Haven 1995: 89-97) Such descriptions allow us to rescue cognitively charged nodal points of the causal-historical chain concerning representations that must have occurred in the minds of Aristotle, Herodotus, Simplicius, Diogenes Laertius, Proclus...[16] After all, Thales left no writings, and everything we know of him and his thoughts comes from what later philosophers said about him. In this special case, the importance of these historical elements is so great that they have become part of a more complete characterization rule of ‘Thales’ – the philosopher. This description-rule can be briefly summarized as:

 

Characterizing description-rule: The philosopher who left behind no writings, but was secondhand referred to in the doxography written by Aristotle as having been the first Greek philosopher, who in his cosmology stated that the earth rests on water, being water the principle that originated the world and that permeates everything, that all things in sum are interpenetrated by some life principle, that all things are full of gods… He was also an astronomer who once predicted the year of a solar eclipse, according to Herodotus, Diogenes Laertius, and Dercyllides… and a geometer, who, according to Diogenes Laertius, based on Hieronymus, measured the pyramids by their shadows. (See Kirk & Raven 1995: 81-97)

 

Even if this much more impressive and plausible characterizing description were satisfied by the well-digger, it is crucial to note that we are informed about him by means of the quotations in the doxography by Aristotle, Herodotus, Diogenes Laertius, and Deircyllides. This fact would remain true even if it were not the case that Thales was the first philosopher who said that water is the principle that originates and permeates the world, etc. He continues to satisfy the definite description of his having been the philosopher alluded to by doxographers as having said certain things. With such remarks, I need to call attention not only to the much more complex real characterizing description, but mainly to the fact that what counts most is that the voices of the doxographers that have given us these descriptions are also included as parts of them. Even if it could be discovered that the content of these descriptions has a considerable degree of falsity, they still concern the person referred to by doxographers and not to some other person who lived in remote a time, such as Donnellan’s hermit philosopher, even if they were the perfect truth-bearers of all these descriptive contents. Even if he existed, he could not be our Thales because he is not mentioned in the doxography.

   Furthermore, we should add to this the condition requiring the satisfaction of the spatio-temporal location and career summarized as the following:

 

Localizing description-rule: The person who, according to the doxography from Diogenes Laertius, was born in 640 BC and died on 548-545 BC. According to Laertius and Herodotus, Thales was a Milesian, and Laertius wrote that he was the son of Examynes and Cleobuline. According to Laertius and Proclus, he visited Egypt, the traditional fountainhead of Greek science, at some point in his life. (See Kirk & Raven 1995: 76-80)

 

The addition of this new fundamental disjunct is decisive since according to it the Milesian philosopher Thales satisfies the doxographic information much better than Donnellan’s hermit or any other causal-historical philosophical invention.

   We can now, with great certainty continue to say we know the name ‘Thales’ refers to our Thales, even if the doxographers were wrong about his profession and he was only a Milesian well-digger who made no contributions to philosophy. Thales satisfies sufficiently and more than any other person his disjunctive rule and, therefore, his identification rule, so he remains our Thales. Likewise, Donnellan’s hermit satisfies only very little of the characterizing condition B (he said that all is water), though not satisfying the essential condition of having said something in particular as the result of the work of the doxographers and nothing of the localizing condition A (the hermit lived somewhere in a remote time), so the hermit cannot be our Thales.

   The assumption of the causal record as part of the rule of characterization in the above discussed case is still of fundamental importance, since in a sense it allows cognitive expressions of nodal points leaved by external causal-historical chains to participate in the identification. To highlight its importance, it is enough to imagine that the hermit considered by Donnellan, in addition to having claimed that everything is water, satisfied the localizing condition for Thales of having lived between 624 and 548-50 BC, been born and died in Miletus and visited Egypt. Let us also imagine we discover that Thales the well-digger lived in the same period in Miletus, although he never visited Egypt or was a philosopher. In this case, it may be objected that the hermit satisfies the localization rule, and even the characterizing rule better than Thales. Even so, it seems to us that the hermit could not have been Thales. And this is so insofar as the hermit does not satisfy the expected causal-historical nodes expressed by the causal record produced by the doxographers and thus incorporated into the characterizing rule. If, on the other hand, the name ‘Thales’ were not so strongly linked to the causal record, or if it is discovered that the hermit had enough participation in it, we would have no difficulty in identifying Thales with the hermit. Finally, of course, by changing the information, we can make the balance shift to either side or even to the conclusion that Thales did not exist.

 

The philosopher J. L. Aston-Martin

The second counterexample is about a student at a party who was talking to a person he mistakenly believed was a famous philosopher, J. L. Aston-Martin, author of “Other Bodies.” Although the person shared the name Aston-Martin, he only impersonated the philosopher. Donnellan (1962: 64) notes that the statement (a) “Last night I spoke to Aston-Martin” is false, as it associates the name ‘Aston-Martin’ with the following description:

 

     D1: the philosopher and author of “Other Bodies,”

 

while the statements (b) “At the end of the party Robinson stumbled on Aston-Martin’s feet and fell flat on his face” and (c) “I was almost the last to leave, only Aston-Martin and Robinson, who was still out cold, were left,” are true, as they are associated with the description

 

     D2: the man named ‘Aston-Martin’ whom I met at the party.

 

The objection is that cluster theory does not explain this change: for the student in (a) and (b) and (c) the name Aston-Martin should be associated with the same cluster of descriptions that includes ‘the author of “Other Bodies”.’

   This objection assumes that the application of the descriptions to the cluster is a question of all or nothing and that they cannot be decoupled. In the present case its is effectively answered by applying to proper names a distinction that recalls that introduced by Donnellan himself between attributive and referential uses of definite descriptions. In the case of definite descriptions, the attributive usage is the one most properly linked to the content of the description, while the referential use is linked to the indexical function associated with the description. In the case of the proper name, the equivalent of the attributive use is one based on the descriptions that express its identification rule. This explains the meaning given to the name ‘Aston-Martin’ in statement (a) because the description D1, ‘the philosopher and author of “Other Bodies”,’ expresses a characterizing dimension of the object’s identification rule, which is known by the student but that isn’t satisfied by the statement (a), since he meant that the previous night he had spoken with the philosopher Aston-Martin, which makes it false (if someone is mistakenly confused with another because of homonymity this does not mean that the speaker is committed to apply correctly the few descriptions he knows belonging to the identification rule). Now, in cases like those of the referential use, the indexical element and the context play a decisive role, so that the proper identification rule no longer matters. This explains the meaning of the name ‘Aston-Martin’ in cases (b) and (c). Here what matters is the adventitious description D2, in place of which the proper name appears. As such, it is provisional and dependent on the conversational situation in which it was acquired. The speaker’s task in these cases is only to identify a certain participant at the party using the name by which he was called, and for this intent, it no longer matters whether this name is part of the right identification rule of this or that person.

   Summarizing: As for statement (a), it is really associated with the characterizing description D1, ‘the philosopher author of ‘Other Bodies,’ though not applicable to the homonymous person whom the student met at a party and confused with the philosopher. It was only the case of someone with unqualified knowledge of a proper name applying it erroneously to the wrong person. On the other hand, correctly applying statements (b) and (c) goes hand in hand with the also adventitious character of the auxiliary description D2. If they do not pick out the philosopher Aston-Martin, this is in such cases indifferent.

 

Inverted squares

Another of Donnellan’s counterexamples is that of a person A who, wearing special glasses, identifies two identical squares on a screen, one placed directly above the other (1972: 368-370). The square on top is called Alpha, the square underneath is called Beta. The only description provided for the Alpha square is:

 

     (a) the square that is on top.

 

It turns out that, without the person who is wearing the glasses knowing this, her glasses reverse the positions of the squares, so that Alpha square is underneath. But it is intuitive that the person is not referring to the Beta square on the top. Donnellan thinks he has thus demonstrated that the square to which the person really refers is the Alpha square (the one below), even if the word is associated with the erroneous description (a).

   The answer is not difficult. The person really refers to the Alpha square. But she does that because, although associating Alpha with an erroneous description, it is a convergent description (it is surely one of both squares). This description should be completed as:

 

      (b) The square [which A sees as the Alpha square] is on top

 

This correction, in turn, is part of the true identifying description of the Alpha square, which is:

 

(c): The square [which A sees as the Alpha square] on top...  that is in fact underneath, since A is wearing glasses that reverse the positions of the images.

 

Observer A is unaware that the description (a) is part of the most complete identifying description (c). But this fact and this last description are things known to other language users – the sufficiently informed users – whom we can call B. These privileged namers will say that A refers to the Alpha square, which is underneath, by having the information given by description (c), which expresses the most complete mode of presentation of the object, the most complete identification rule (which characterizes Alpha as a square seen by the person as on top and locates it as the square that is below). 

   Suitable evidence for what I am saying is the fact that once possessing the information offered by the informed users B, which includes description (c), person A will agree to review description (a) as part of (b), referring only to how A sees Alpha, which in turn is part of description (c). Although literally false, description (a) is useful to the reference, because it can be reinterpreted as part of the correct identifying description-rule.

 

“Tom is a nice person”

One last counterexample offered by Donnellan is that of a child who has already gone to bed and who is awakened briefly by his parents (1972: 364). A friend of the parents named Tom has come over unexpectedly for a visit and asked to meet their youngest son, whom he does not yet know. The mother wakes the child and tells him: “This is Tom.” Tom says: “Hi, youngster!”; the little boy says “hello” and goes back to sleep. The next day the child wakes up and all he can say about Tom is that he is ‘a nice person.’ The child doesn’t even remember being awakened the night before. But he refers to Tom without the aid of definite descriptions. W. G. Lycan, who emphasized this counterexample, believes this is solid evidence for the causal theory of names: the child is able to refer to Tom only through a demonstrative causal transfer. (1999: 46-7; 1976: 376).

   Taking into consideration this example, Brian Loar noted that it may well be that in this case language deceives us, as in the case where a person realizes that guests are absent for dinner but does not remember who; we are entitled to say that the person refers to those who did not attend. However, the word ‘refers’ does not seem to be used here in the appropriate sense. Indeed, if the child remembers nothing when saying that Tom is nice, we cannot even distinguish his uttering this from the mere expression of his willingness to please his parents. (1976: 367)

   My own answer depends on a precise consideration of the child’s words. It can be that the child says “Tom is a nice person” only to please his parents, though he does not remember anything from the previous night. In this case, the child is lying; he is just saying what his parents want him to say, and there can be no reference. We can assume, however, that the child has some kind of semantic cognition, some vague memory of his encounter with Tom, which could justify his saying that Tom is nice. In this case, there is indeed a convergent semantic-cognitive element, which allows us to conclude that the child is able to introduce the word into the dialogical situation, referring to a person. However, this would be a case of unqualified reference, of reference borrowing. As everyone knows which person the child means, the example can produce the false impression that he is able to make a complete identifying reference to Tom. But this is an illusion. He does not know who Tom is and could not recognize him if he met him on the street. If he said ‘Tom is a nice person’ to strangers who were unaware of the circumstances, the memory of the testimony being lost, no one would be able to tell us who Tom is. Therefore, the utterance does not refer effectively to Tom for the child who is speaking, but rather for the only interpreters able to complete the reference, who in this case are the child’s parents. After all, they not only remember that the child was introduced to Tom and assume that it is because of this that he now says that Tom is nice, but they are also those who really know who Tom is and are able to re-identify the person to whom the words refer. Indeed, the child’s parents are privileged speakers who know in a self-sufficient way the identification rule for the name ‘Tom,’ which can be descriptive of his appearance, his psychological traits, what he does, where he lives, and his origins. They also know relevant auxiliary descriptions concerning Tom’s family relationships. As the child’s speech takes place in a public space where these privileged interpreters are present, the child’s intention to refer to a sympathetic person with whom he was in contact is complemented by the referential identification of this person. This is made by the other participants in the conversational situation, leading us to the illusion that the child produced something more than a mere gesture towards the reference.

 

4. Devitt’s objection of epistemic magic

There is, finally, a generic objection raised by externalist philosophers such as Michael Devitt, according to which there is something magical in descriptivism. According to this objection, descriptivism attributes an extraordinary property to the mind, which is the ability to allow its contents to relate as if by magic to things outside it. As Devitt writes in his criticism of Searle:

 

How could something inside the head determine the reference, which is a relationship with particular things outside of the head? ... to assume that one’s thought can reach particular objects outside the mind is to sustain magical theories of reference and intentionality. (1990: 83) (...) How can something inside the head refer to something outside the head? Searle sees no problem: it just happens. That’s the real magic. (1990: 91)

 

Certainly, a commonsense cognitivist will insist that the thesis that words are bound to objects by means of ideas, representations, instantiated conceptual or criterial rules, is perfectly natural and intuitive. However, as philosophers, we are here almost inevitably led to the traditional and almost intractable problem of perception, that is, the problem of knowing how we can go beyond the veil of sensations since it seems all that can immediately be given to experience are sensory impressions (sense data).[17] Here there is for many a mystery that requires magic to be solved. But the magic with which through sensory impressions we can have access to an outside physical world, we have reasons to guess, is merely apparent. First because it is nowadays very difficult to deny that internal sense impressions are at least indispensable vehicles of all perception[18]. At least to me it seems that we use these sensory impressions as something that, when accompanied by joint satisfaction of criteria for external reality, such as maximum sensory intensity, independence of the will, possible intersubjectivity, the following of natural laws… naturally allows us to reinterpret these sensory impressions as similes of properties belonging to external reality. This happens simply because external reality can in a sense be defined as all that conjunctively satisfies criteria like these.[19]

   Much more extreme, however, seems to me the referentialist sorcery of causal-externalism, according to which in some way words themselves should have the power to reach objects in the external world to refer to them. It is true that Devitt advocates a nuanced form of causalism, according to which partially cognitive causal networks are responsible for references (1981). Yet, if he does not want to fall into cognitivism and hence into descriptivism, he will need to ignore the explanatory force originated from the cognitive content of these cognitions. However, such an admission makes the objection return with all its strength: how could external causal chains and the derived spelling of words, independently of their relationship with cognitive content, be able to explain our reference to the external objects that originated them? This makes us suspect that Devitt’s considerations can be explained psychologically as an unconscious projection of the denial of the very problem created by causalism in the enemy field of cognitivism.

 

5. Russellian reformulation

Meta-identification rules allow a systematic application of description theory methods to the meta-descriptive theory of proper names, which can help us reach the goal of displaying the logical structure of the identification rule. Consider, for example, the sentence (i) “Aristotle had to leave Athens.” Bearing in mind the application of MIRp in formulating the identificatio rule for the name ‘Aristotle,’ we can paraphrase (i) through the method proposed by Russell in his theory of descriptions as:

 

1.      There is at least one human being x who sufficiently satisfies the condition of having been born in Stagira in 384 BC, lived in Athens and died in Chalkis in 322 BC and/or the condition of having been the philosopher who created the great doctrines explained in the Aristotelian opus,

2.      There is precisely one human being x who satisfies (1),

3.      This x is called ‘Aristotle’ and,

4.       had to leave Athens.

 

Condition (1) includes the idea of sufficiency, condition (2) demands uniqueness, and condition (3) demands that x is named ‘Aristotle’, while (4) adds the predicate that appears in (i). To formulate the sentence (i) symbolically, we establish the predicates N = ‘... is the person named “Aristotle”’, A = ‘... satisfies (within a whole with B) with sufficiency the condition of having been born in Stagira in 384 BC, lived in Athens and… died in Chalkis in 322 BC’ (localizing description-rule), B = ‘... satisfies (within a whole with A) with sufficiency the condition of having been the author of the great doctrines of the Aristotelian corpus’ (characterizing description-rule), and T = ‘... had to leave Athens.’ In this way, the statement “Aristotle had to leave Athens” can then be formalized as:

 

x [(Ax ˅ Bx) & (y) ((Ay ˅ By) → y = x) Nx & Tx]

 

With this, existence, uniqueness, and sufficiency are required in association with predicates expressing identifying properties. What this short comment suggests is that the true work of description theory concerning proper names is to display the essential formal structure of its identification rules.[20]

 

6. Proper names and the “necessary a posteriori”

The considerations we have just discussed lead us to one last question, concerning the epistemic status of identities between proper names. According to Kripke, because proper names are rigid designators two proper names with the same reference must apply to the same object in any possible world where this object exists. Therefore, even though identity sentences connecting proper names can be a posteriori, that is, learned from sensory experience, they are necessary. Hence a statement like “Hesperus is Phosphorus” is, according to Kripke, necessary a posteriori. However, the conclusion that there are necessary a posteriori propositions has been considered controversial by more than one philosopher. After all, how is it possible that a proposition we know to be true in all possible worlds would depend on experience to be seen as true?

   To begin with, consider the statement “Cicero is Tullius.” The identifying description-rule for the proper name ‘Marcus Tullius Cicero’ can be abbreviated as:

 

       IR-‘Marcus Tullius Cicero’

The proper name ‘Marcus Tullius Cicero’ – as well as, consequently, its name-mark’s constituents ‘Marcus,’ ‘Tullius’ and ‘Cicero’ – refer to an object x belonging to the class of human beings iff sufficiently and more than any other candidate, x was born in Arpino in 106 BC, lived in Rome and died in Formia in 43 BC and/or x was a Roman skeptic philosopher, orator, lawyer and politician, the senator who wrote the Catiline Orations.

 

Considered in view of this intended sense, the statement “Tullius is Cicero” is obviously necessary and a priori, because it is analytical in the sense of stating the conventional identity among parts of a proper name’s phonetic and orthographic symbols: “‘Marcus Tullius Cicero’ = ‘Marcus’ = ‘Tullius’ = ‘Cicero’”. Omitting supposed variations of meaning between the different name-marks, a person who does not know that Tullius is Cicero is like a person who does not know that in German, “ß is ss”. That is: her ignorance is like not knowing the identities between conventional equivalent phonetic and orthographic symbols in a name.

   Other examples are more complex. Consider the identity sentence “Mary Ann Evans is George Eliot”. Since George Eliot was a pseudonym of the writer Mary Ann Evans, we can state for the last name the following general identification rule:

 

      IR-‘Mary Ann Evans’

The proper name ‘Mary Ann Evans,’ like her pseudonym ‘George Eliot,’ refers to an object x belonging to the class of human beings. Object x is sufficiently and more than any other candidate the origin of our consciousness that x is a woman who was born in Nuneaton in 1819, lived much of her life in London and died in Chelsea in 1880, and/or she was perhaps the greatest female English novelist, author of classics such as Adam Bede and Middlemarch, married twice and possessed such and such personality traits.

 

We can consider here three groups of speakers:

 

(i) the group of those who knew the young Mary Ann Evans, such as her relatives and childhood friends before her career as a novelist,

(ii) the group of those who knew only ‘George Eliot,’ such as people who read Adam Bede at the time of its publication, when the author’s real name was not yet public knowledge,

(iii) those (privileged namers) who not only knew Mary Ann Evans, but also always knew that George Eliot was a pseudonym of Mary Ann Evans.

 

The latter knew the general rule IR-‘Mary Ann Evans’ very well. In this intentional sense, well known by the two husbands of Mary Ann Evans, by some family members, and by herself, “George Eliot is (the same as) Mary Ann Evans” can be considered a necessary and a priori identity statement. But it does not need to be so. What the people in the group (ii) have in mind with the identification rule for George Eliot could be: ‘the author of Adam Bede, Middlemarch, and other classics of English literature,’ added to some vague indications about the time and place in which that author lived. Finally, some people in the group (i) have in mind the identification rule of Mary Ann Evans such as ‘the young woman with such and such personality traits, daughter of Robert Evans, born in Nuneaton in 1819...’ The localization and characterization rules used by these three groups of speakers cannot contradict each other, since speakers from groups (i) and (ii) know only part of a larger identification rule (iii), which they can learn by acquiring information. For that reason, the identity statement “George Eliot is (the same as) Mary Ann Evans” is for them contingent and a posteriori. The statement is a posteriori in the sense that it depends on the learning of information concerning what we could call contingent sub-facts, such as the sub-fact that Mary Ann Evans made the decision to use a certain literary pseudonym, which would be a sub-fact of the fact that George Eliot is Mary Ann Evans. (Costa 2018: 245-259)

   It should be noted that the members of the group (iii) can also think of George Eliot’s identity with Mary Ann Evans in the second way, in terms of the person’s modes of presentation, for example, when explaining this identity to someone else. In this case, they are considering the partial rules for each name, wanting to show that they are constitutive parts of Mary Ann Evans’s complete identification rule, which makes the utterance of “George Eliot is (the same as) Mary Ann Evans” for them necessary a priori, concerning the whole fact that they are numerically the same person. At the same time, they are explaining the differences between George Eliot and Mary Ann Evans. In a sense they are showing in what aspects “George Eliot isn’t (the same as) Mary Ann Evans”, and this difference is not a priori; it is contingent a posteriori, since concerning contingently established sub-facts regarding a single person, which are qualitatively different. Hence, the statement “George Eliot is Mary Ann Evans” is ambiguous, and may mean one or two or both, depending on the context.

   Finally, something similar can be said of the well-known identity statement “Hesperus is (the same as) Phosphorus.” The identification rule for Venus is today something like the following one-foot identification rule, which in a descriptive mode can be abbreviated as:

 

       IR-‘Venus’

The proper name ‘Venus’ – as well as the names ‘Phosphorus’ (emphasizing the ‘Morning Star’) and ‘Hesperus’ (emphasizing the ‘Evening Star’) – refers to the planet of our solar system that was discovered as satisfying sufficiently and more than any other the localizing condition of being the second planet in the solar system, situated between the Earth and Mercury…

 

Notice that, as already considered, one cannot add a characterizing description-rule ‘and/or a planet almost the same size as the earth…’ as a disjunct, since any other planet with its characteristics could sufficiently satisfy the identification rule. Thus, if there were only one planet in the solar system and this planet had almost the same size as the earth, this would be Venus. Be that as it may, it is not necessary to consider differences between Hesperus and Phosphorus, which makes “Hesperus is Phosphorus” a necessary and a priori statement, since it derives from the rule.

   But we can also consider the identity in question, as Frege did, as an astronomical discovery. In this case, what we are doing is associating the name ‘Hesperus’ with the auxiliary description ‘the brightest celestial body usually seen at dusk in the direction of the Sun’ and associating ‘Phosphorus’ with the auxiliary description ‘the brightest celestial body usually seen at dawn in the direction of the Sun.’ Each of these descriptions simply refers to the celestial body we see in the sky at a certain time and place and nothing more. What the identity phrase does is to state that, in addition, these two modes of presentation are modes of presentation of the same object, that is, each of these rules of identification is part of the auxiliary rules belonging to the general identification rule for Venus. As we know, it was empirically discovered by Babylonian astronomers that these two rules of identification for different presentations of objects could be understood as able to be associated with a single more general identification rule for a single object, so that from such a perspective, “Hesperus is Phosphorus” expresses an a posteriori and contingent truth (which contains the idea that Hesperus’ mode of presentation is not the same as that of Phosphorus), because it might not have been so.

   If there is no disambiguating context, the statement “Hesperus is Phosphorus” retains its semantic ambiguity and can be interpreted as meaning: “(Hesperus)-Venus = (≠) (Phosphorus)-Venus”, emphasizing the identity, and (ii) “Hesperus-(Venus) ≠ (=) Phosphorus-(Venus)”, emphasizing the difference. This is what we might call the identity in difference. Or, if one wishes, here there are two thoughts intertwined with each other: one about the difference in the identity, the other about the identity in the difference. Under the assumptions of this view, what a philosopher like Kripke more often did was to confuse these two ways of understanding identity statements between newly presented proper names, ignoring contextual deviations that could disambiguate them. He confused the two forms of understanding by joining the necessity of the identity-thought that makes it conventionally understood as analytic (i.e., necessary and a priori, constituted by a rule that verifies identity) with the a posteriori character of the difference-thought, understood as synthetic (i.e., contingent and a posteriori), which aims to reveal the modes of presentation (appearances) of different objects of appearance in order to inform us that such objects of appearance (like the Morning Star and the Evening Star) are themselves results of the different modes of presentation of the same more fundamental object (Venus).

   Finally, it is interesting to observe the curious coincidence between these results, which are derived from our analysis of the identification rules of proper names, and the results of the analysis of identity statements from the methodologically different perspective of semantic two-dimensionalism. This coincidence does not seem to be causal.[21]

 

7. Conclusion

As is common in philosophy, whenever we believe we have solved a problem, new ones are lying in wait for us around the next corner. However, a little reflection on the arguments discussed in this and the preceding chapter suggests that the proposed path is by far the most feasible. Suppose, for example, that MIRF is implemented in a computer program, and that proper names are introduced into it along with the necessary information about its fundamental descriptions, associated auxiliary descriptions, causal records, etc. In this case, it seems quite conceivable that the computer will be able to tell us with a reasonable margin of error whether the proper name is applicable, provided that it was supplied with the correct information. But the same is far from conceivable to us, when we think of traditional descriptivist theories, and even less regarding the causal-historical view considered in this book.

   It is certain that the proposed theory, although possessing greater explanatory power, is inevitably more complex. But this is in fact a small price to pay for the suitability, considering that the advantages of simplicity lie in the foundations of a theory, not in its developments. General relativity theory is based on an amazingly simple principle of equivalence, though it is exceptionally complex in its mathematical proofs. As in natural science, simplicity of developments and applications is the least one can expect from more mature theories. It is not our fault that reality – including the reality of our linguistic mechanisms of reference – is much more complex than it appears at first glance.

   Finally, it is said that when philosophy comes to a feasible result, it gives place to science. Indeed, though being aware that there must be many unforeseen difficulties, my hope concerning the theory presented in this book is that it outlines the beginnings of a properly scientific understanding of how proper names really work.[22]



[1] It appears in the direction of the Sun because it is an inner planet with an orbit closer to the Sun than the Earth’s.

[2] I think this example was initially suggested by Ruth Barcan Marcus using the name ‘Venus’ at a conference, which possibly was assisted by Kripke. But Kripke gave the idea a more sophisticated turn. (See Marcus 1993: 11)

[3] For considerations on the identification rule for the name ‘Venus’, see Ch. III, sec. 3.

[4] See the final remark on section 3 of the last chapter concerning one-foot rules.

[5] This would be an example, among many others, of the deep confusion among linguistic practices identified by Wittgenstein as common in metaphysics, requiring philosophical therapy.

[6] One could ask: what about those possible worlds where Aristotle was born in 383 BC, after our rule has changed? – Only remember that our concept of rigidity allows vagueness.

[7] Kripke 1980, pp. 83-84.

[8] Searle 1983, p. 251.

[9] I accept this statement by Kripke for the benefit of the example, given that in fact most scholars believe that this biblical person is entirely fictional.

[10] In the case of Robin Hood, maybe the most plausible explanation is that the medieval ballads that originated the later stories were inspired by several of the many outlaws who lived in the forests of England at that time. It this case the proper name is unable to identify a unique real bearer, and the proper name ‘Robin Hood’ must be considered a merely fictional name inspired by them.

[11] The same occurs with conceptual words. If a fisherman thinks that a whale is a great fish from the ocean, this (indefinite) description is wrong, since a whale is not a fish. However, this description is already convergent, since the person is referring to something belonging to the class of Marine animals. But if a child says that Whale must be the name of a mountain in the Appalachians, this is a divergent (indefinite) description devoid of referential function, simply because there is no mountain with this name there.

[12]  I present here the elaboration made by Scott Soames, 2003, vol. 2, p. 361.

 

[13] The worries are greater for the referentialist when Kripke gives a second example concerning the case of an only proper name, Podorowsky, that is understood by the speaker as referring to two different persons, when in fact it is referring to two different persons. The speaker believes there are two Podorowskys, the first being a pianist and the second being a politician, when in fact they are the same person. This is an obvious trouble for the referentialist, since by knowing the name that the speaker should also know the meaning-object, and also a trouble for the metalinguist thinker. But it would obviously be no problem for a metadescriptivist, since the speaker associated the two different descriptions carried by the name Podorowsky to two different barriers without knowing that they belong to the same characterizing description-rule.

 

[14] Due to passages like this, Searle was already interpreted as a causal descriptivist, which is surely a mistake.

[15] “Thales abandoned the mythical formulations; this alone justifies the claim that he was the first philosopher, naïve though his thought still was” (Kirk & Haven 1995: 99).

[16] It is instructive to read the documented doxography, based on many lost sources, along with the commentaries of specialists, based on their historical and cultural knowledge of the Hellenic world, to get a sense of the full complex of fundamental and auxiliary description-rules that allow privileged namers to refer in the most appropriate sense to Thales, thereby attributing existence to him. (See Kirk & Raven 1995: 76-99).

[17] Consider, for instance, the moving visual images computationally reconstructed by means of fMRI. (Nishimoto et al., 2011) See Costa 2017.

[18] Consider, for instance, the moving visual images computationally reconstructed by means of fMRI. One can indirectly “see” the visual sense-data images forming in the brain (Nishimoto et al., 2011). See also Costa 2017.

[19] According to G. E. More, the real is something independent of the mind that is verifiable by others, continuously connected with other things, and in this way has causes, effects and accompaniments with the highest degree of reality (1953). (See Costa 2014, ch. 6, and Costa 2018, ch. VI)

[20] In section 1 of Chapter V (Appendix) the formalization is adapted to MIRF

[21] In two-dimensional semantics, a statement of identity such as “Hesperus is Phosphorus” ambiguously expresses two propositions. The first is the proposition of primary intention, whose terms refer cognitively, varying their reference in possible worlds, which makes the proposition contingent a posteriori. This is the meaning captured here by Hesperus-(Venus) ≠ Phosphorus-(Venus). (In the case of conceptual identity, for instance, “Water is H2O”, it would relate to what we could call the popular core of its meaning.) The second meaning of the proposition is given by the secondary intention, whose terms are rigid designators, invariably referring to the same thing in many different possible worlds, which makes it necessary and a priori. This is the meaning captured by (Hesperus)-Venus = (Phosphorus)-Venus. (See Chalmers 2006)

[22] I am assuming here the non-reductive definition of science as an inquiry able to achieve public consensus among specialists (scientists); this definition contrasts unavoidably with the common view of philosophy as unable to achieve public consensus, even (and particularly) among specialists (philosophers). (Ziman 1968; Costa 2002: 47-48)

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