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Alicia believes that people walked on the Moon.Believing, knowing, fearing and hoping are four different attitudes towards the proposition that people walked on the moon.
Boris knows that people walked on the Moon.
Carla fears that people walked on the Moon.
Denzel hopes that people walked on the Moon.
Most propositional attitude attributions use a propositional attitude verb that is followed by a that-clause, a clause that includes a full sentence expressing a proposition. Attributions of cognitive relations to propositions can also take other kinds of clauses, though: Alicia wanted to swim, Juan wanted Mary to succeed, for example. These still attribute propositional attitudes, cognitive relations to an identifiable proposition (Alicia will swim, Mary will succeed), though the proposition is not so directly expressed.
In this discussion, we will look at some of the attempts to deal with a puzzle about propositional attitude attributions that was posed by Gottlob Frege in . Developing a semantic theory that deals satisfactorily with propositional attitude attributions has proved to be a very difficult project, and no fully satisfactory theory exists. In what follows, we will explore some of the theories developed to deal with the puzzle and note some of the problems with each theory.
The principle of semantic compositionality is fundamental to the Fregean puzzle. We can't learn language by learning each sentence's meaning individually, because mastering a language involves being able to recognize the meanings of an infinite variety of new sentences that we encounter. So our ability to understand language seems to require that we be able to discern the meaning of a sentence on the basis of our knowledge of the meanings of its parts and the way that they are put together. In a word, linguistic meaning must be compositional (or at least largely compositional).
The Fregean puzzle can be posed as a question about propositional attitude attributions. (We will use the verb believe in the discussion of these puzzles. Similar puzzles arise with all propositional attitudes.) Consider the situation of Lois Lane, who is very familiar with Clark Kent, her fellow employee, and Superman, the hero she most admires, but who does not recognize that Clark Kent and Superman refer to the same person. We would ordinarily accept these claims about Lois:
(1) Lois believes that Superman is strong.It would even seem to be true that:
(2) Lois believes that Clark Kent is not strong.
(3) Lois does not believe that Clark Kent is strong.When we compare the belief attribution (1) with the belief attributions (2) and (3), it seems apparent that the names Superman and Clark Kent make different semantic contributions to the sentences in which they appear. In particular, it appears that if we replace Superman in (1) by the Clark Kent, it will change a true sentence to a false one.
(4) Lois believes that Clark Kent is strong.Sentence (4) seems false, even though it results from (1) by replacing one name by another that refers to the same individual. Since the names have the same reference, it seems that something other than the reference of the name must be relevant to the semantic evaluation of the belief attribution.
Without propositional attitude attributions, we might hope for a simpler situation for semantics, in which only the referent of a name is relevant to the evaluation of sentences that contain it.
(5) Superman is strong.If (5) is true, then (6) is true as well. Even if Lois and others do not realize it, these sentences must have the same truth-value. So their objective semantics can be the same: each involves a reference to an individual and each predicates the same property of that individual.
(6) Clark Kent is strong.
However, if we expect semantics to account for the difference in cognitive value of (5) and (6) (Lois accepts one but not the other, and they play different roles in her reasoning), we must recognize a semantic difference in the contribution of the two different names.
So Frege calls our attention to two problems, (i) the problem of the the difference in truth-value of corresponding belief attributions (such as (1) and (4)), and (ii) the problem of the difference in the cognitive significance of sentences composed in the same way of elements with the same reference (such as (5) and (6)). If distinct belief attributions indicate differences in cognitive value of the sentences in their that -clauses, then these are the same issue, presumably with a single solution.
[For a more complete description of these problems, see the subsection on Frege's Puzzles in the entry on Gottlob Frege.]
Frege also held that the ordinary sense of an expression --- the way that the expression indicates its referent --- becomes a part of the truth-conditions for a sentence in which the expression occurs, if that expression is used within a belief context.
On the face of it, these are two different theories about terms in belief contexts --- that they refer to the believer's way of representing the object, and that they refer to the ordinary sense. Frege unifies these by holding that the ordinary sense is a way of representing an object.
Thus he can explain why the truth-value of the sentence as a whole can vary in (1) and (4), even though the constituents of the sentences ordinarily make the same contribution to the truth-values of sentences. Belief contexts are not ordinary in that regard, so we must look to the usual sense, not the usual referent, in determining the truth-value of a belief attribution.
Difference in sense also explains the difference in cognitive value of sentences (5) and (6). Though they must have the same truth-value, because the constituents are co-referential, they have different senses, because the names Clark Kent and Superman have different senses, according to Frege. Though the truth-value depends on the referents of terms, the cognitive value depends on the sense attached to the terms involved in a sentence.
[For a more complete description of Frege's theory, see the subsection on Frege's Theory of Sense and Denotation in the entry on Gottlob Frege.]
(7) Alice believes that he will solve an important problem in physics,my use of he does not indicate anyhing about the way in which Alice represents the individual indicated. Since Frege holds (i) that indicating the sense is indicating the way the believer represents the individual and (ii) that belief attributions indicate the sense, this appears to be a grave problem for his theory. This is perhaps even more evident if I say
(8) Alice believes that I will solve an important problem in physics.My use of I tells us nothing about how Alice represents me, and it does not refer to anything that we would ordinarily call the sense of I.
Attributions of a common belief to many people also highlight the problems in the Fregean idea that a belief attribution must indicate the way in which the believer represents an individual in belief. If different people have different modes of representation associated with a name, then the belief attributer can't be responsible for the many modes of representation when he ascribes a common belief.
(9) Many people believe that Tom McKay will solve an important problem in physics.Someone attributing such a belief cannot be responsible for the many modes of representation that the various believers associate with Tom McKay. The theory could work in this case only if we could find a sense for Tom McKay that does not vary from person to person and that can serve as the mode of presentation of that individual for each person. That seem unlikely. When we use indexicals in such attributions, the problem is perhaps clearest of all:
(10) Many people believe that I will solve an important problem in physics.(Similar problems are raised in Schiffer 1992, 507-508.) It seems quite implausible that the truth-conditions for my uterance involve either the many modes of representation that the believers have of me when I assert (10). Only the referent, not its mode of presentation, seems relevant with ordinary uses of indexical expressions like I, you, now, yesterday and demonstratives like that and he. [See Perry 1977, 1979].
It appears, then, that our fundamental responsibility in belief attributions is to get the referent right -- i.e., to indicate the individuals the beliefs are about and the properties that the believer attributes to them. The Fregean theory that requires only a reference to the mode of presentation seems wrong or irrelevant in many of our most common sorts of belief attribution. Yet focus on the referent alone seems wrong when we consider the contrast between (1) and (4).
Many Russellians (McKay and Salmon, for example) go on to try to explain why people make those incorrect judgments about truth-values.
There may often be additional responsibilities for indicating the way in which the believer represents the individuals that the beliefs are about, but these go beyond the truth-conditions of the attributions. Any additional responsibilities are pragmatic, not semantic, requirements on the speaker. They may be conditions that a speaker must ordinarily fulfill when making a belief attribution, but they are not part of the semantic content of the attribution.
As we saw in the discussion of the problems in the Fregean approach, indexical cases show clearly that indicating the believer's mode of representation cannot be a general requirement of belief attribution. In addition, we often use names in ways that clearly do not fulfill that requirement. For example, I may say:
(11) The students believe that John is a great teacher.even if I know that they refer to him only as Professor Adams, and none know his first name. In using a name in the attribution, I am not required to use a name that indicates the students' way of representing John in order to say something true.
We sometimes have responsibilities that go beyond just avoiding falsehood. For example, it is true but inappropriate to say John is sober today if John is always sober. That sentence is misleading because it suggests a contrast where there is none, though the sentence is true. Confounding pragmatic responsibilities with our responsibility to avoid falsehood can lead people astray concerning the fundamental semantics of belief attribution.
The Russellian must say that (4) is true (given that (1) is), but (4) may be very misleading, depending on the details of the context of attribution. Although Lois believes that Clark Kent is strong, she would never accept the sentence Clark Kent is strong. She does not accept that sentence, because she does not recognize that it expresses a proposition that she believes. There is a particular individual, who is known both as Clark Kent and as Superman, and she believes that he is strong. (1) and (4) both attribute that belief, but (4) does it in a misleading way, because it uses a sentence that she would not accept. According to this pragmatic explanation of why people go wrong here, the recognition that some utterances of (4) are very misleading and therefore inappropriate produces the feeling that those utterances of (4) are wrong. Though an utterance can feel wrong, we can't trust that feeling to tell us just how it is wrong. On this view, then, (4) is a true but misleading report of Lois's belief. Belief attribution may be guided by a pragmatic rule such as "Do not use a sentence that the believer would not accept, if possible". However, that cannot be a part of the semantics of belief attribution, according to the Russellian.
The Russellian disagrees with the Fregean about what is part of the truth-conditions or the content for belief attributions. This is also a disagreement about the elements of the objects of belief. However, there need not be a very substantive disagreement about what is involved in having a belief. For example, a Russellian might agree with Frege that in order for Bernie to have a belief about an individual, say Carla, Bernie must have a way of representing Carla (a mode of presentation of Carla). Where they disagree: the Russellian holds that the truth-conditions for the belief sentence
(12) Bernie believes that Carla is pretty.do not include anything about Bernie's way of representing Carla, while the Fregean holds that the use of Carla in that sentence refers only to that mode of presentation. Still, they can agree that Bernie must have some way of representing Carla for this to be right. They might even agree that a belief attributer should avoid referring to Carla in a way that would mislead us about how Bernie represents her (in the way that (4) is at least misleading about Lois's state of mind). The difference may just be in whether that last responsibility is a part of the truth-conditions or only the appropriateness conditions of the belief attribution.
Pragmatic principles. It seems that the Russellian should have some account of what leads so many people astray in their judgments that (1) and (4) differ in truth-value. If the Russellian wishes to give a pragmatic account of people's ordinary judgments about the truth-value, the Russellian must clearly identify the pragmatic principles that make these incorrect judgments are so pervasive and stubborn.
Asymmetric relations. There are cases that are much less intuitive than even the claim that (4) is true. If names really are inter-substitutable, and if it is true that:
Lois believes that Superman is stronger than Clark Kent.then these must also be true:
Lois believes that Superman is stronger than Superman.Can it really be that these are true, and that the typical strong feeling that they are false is really a feeling of pragmatic inappropriateness? Must Lois also believe that Superman is stronger than himself, or can we differentiate this from the previous claims? (See Salmon 1992, McKay 1991)
Lois believes that Clark Kent is stronger than Superman.
Negation. According to Russellians, the belief attribution:
(1) Lois believes that Superman is strong.ordinarily conveys the meaning that Lois believes of that individual that he is strong. However, according to some, it is also a conversational implicature of that sentence that Lois would accept Superman is strong, and an ordinary use of the sentence conveys that too. On the other hand
(4) Lois believes that Clark Kent is strong.is also true, but it implicates something false, and that leads to our judgment that the sentence is inappropriate or even false.
What about negation?
(3) Lois does not believe that Clark Kent is strong.This is a false sentence, according to the Russellian, but it would ordinarily be judged true. In addition, it would ordinarily convey the idea that there is a particular way of representing the individual (as Clark Kent) such that Lois does not represent him as strong in association with that mode of representation. How does a use of a false sentence like this produce such judgments? The Russellian who wishes to provide a pragmatics-based account of how people's ordinary judgments go astray needs to explain this, and it is not so evident how to do that. (See Recanati, 1993, pp. 341-345)
This can provide for results that many people find satisfying. For example, on this kind of view:
(13) Lois believes that Superman is strongis true in ordinary contexts; but
(14) Lois believes that Clark Kent is strongis false in ordinary contexts. On the other hand, pointing to Clark Kent naked in the sauna and saying
(15) Lois believes that he is strongone may speak truly or falsely, depending on a variety of contextual factors. (Whether the audience knows about the Superman disguise, what kind of information about Lois is required in the context, etc..)
Objections of Bach , Braun , Rieber , Schiffer [1992, 1994], Saul [1992, 1997] and Soames  have raised difficulties for such views. The principal problem is how to incorporate the mode of presentation.
(A) If the mode of presentation must be referred to (as Frege required), then we get incorrect results concerning the possibility of belief attribution, because our attributions are too particular. For example, we often wish to say that distinct individuals share a belief even though they have different modes of presentation of the individuals the belief is about. Lois Lane and Lex Luthor share the belief that Superman flies, even though they have somewhat different modes of presentation for Superman. This is a problem that also arose for the pure Fregean theory.
(B) If the truth of a belief attribution requires only that the mode of presentation is of some general sort, without a reference to a particular mode of presentation, still that cannot be a part of the content of the belief attribution. When we attribute beliefs, we are not attributing acceptance of a claim that there are modes of presentation of a certain sort. In saying that Lois Lane believes that Superman flies, a speaker does not take on a commitment to the metaphysical claim that there exist modes of presentation. Belief attributions just don't seem to be making the kind of claim that such a view would require.
(C) Could the mode of presentation be a part of the truth-conditions without being a part of the content? Could it be like the situation with indexicals, where, for example it is part of the truth-conditions for an utterance of You are bald that the addressee of the utterance is bald, but it is not a part of the content of that utterance that there is an addressee or that that there are utterances? That doesn't seem to work. If I point to Smith and say
(16) You are bald.it is never a part of the content of the utterance that there is an addressee of my utterance, even though there must be an addressee if that sentence is to succeed in expressing the intended meaning. Other utterances, by other speakers (He is bald, I am bald and Smith is bald), could have the same content, (and they clearly do not have as part of their content the claim that there are utterances and addressees of those utterances). When I say
(1) Lois believes that Superman is strongthe analogue would be to say that it is never a part of the content of my utterance that Lois represents this individual in a certain way. That, though, is the Russellian theory, not the view we are currently considering.
First I want to consider the view that believe is ambiguous. In one use, the verb is used to relate us to a Fregean proposition, a way of representing the world. On the other use, it relates us to a Russellian proposition or state of affairs, something that has individuals, properties, relations, etc. as contituents.
When there is an ambiguity, usually the most useful thing is to introduce two terms, one for each of the two different meanings involved. Thus, for a time, I will introduce accept and doxate. Since it is natural to say that we accept sentences and other sentence-like representations, let us extend this usage to say that we accept Fregean thoughts, which include modes of presentation of individuals. By contrast, let us say that we doxate Russellian propositions. For example, using quoted sentences to refer to Fregean thoughts:
(17) Lois Lane accepts Superman is strong.It is natural to hold that there are two standards of consistency. One applies to sentences, according to which the sentences Superman is strong and Clark Kent is not strong are consistent. Nothing in the form of the sentences rules out the possibility that both are true. There is nothing about the use of negation that would create inconsistency between the quoted sentences within (17) and (19), in the way that it does for the quoted sentences within (17) and (18). The Russellian propositions that the quoted sentences in (17) and (19) express, on the other hand, are propositionally inconsistent. They cannot both be true. That cannot be seen just by inspecting the sentences that express those propostions; one must also know the co-reference relations among the terms used. Thus the sentences that Lois accepts are consistent (by the first standard), but the Russellian propositions that she doxates in virtue of accepting those sentences (in the world we imagine for her story) are inconsistent. Because Superman and Clark Kent refer to the same individual, the two sentences that Lois accepts express Russellian propositions that cannot both be true.
(18) Lois does not accept Superman is not strong.
(19) Lois accepts Clark Kent is not strong.
(20) Lois does not accept Clark Kent is strong.
(21) Lois doxates the Russelian proposition that Clark Kent is strong. (Because of (1).)
(22) Lois doxates the Russellian proposition that Clark Kent is not strong. (Because of (3).)
The puzzles that arise when we consider the question of whether Lois has consistent beliefs can at least be addressed if we instead ask about what she accepts and about what she doxates, for use of these two terms helps to make it clear that two standards of consistency apply. One standard applies to the form of the sentences accepted, without taking account of co-reference relations among terms, and the other considers the content of terms and applies to Russellian objects of doxation. The sentences she accepts are consistent by the first standard -- they are the kinds of sentences that could be used to express propositions that are both true, and Lois has no reason to believe that that is not the case in the current situation. She is wrong, however, because these sentences express propositions that cannot both be true. By identifying an ambiguity, we provide resources for an answer to the vexing puzzles.
Some philosophers have connected the de dicto -de re distinction with such an ambiguity in believe. That view, though, has many difficulties, and the de dicto -de re terminology is used in other ways, to mark distinctions among beliefs or distinctions among belief attributions. Rather than trying to sort out different interpretations of that terminology, though, let's stick with the invented disambiguating verbs accept and doxate, briefly, for heuristic purposes. [Interested readers may with to pursue a more in-depth discussion of the de re/de dicto distinction.]
The ambiguity theory of belief attribution has a certain appeal. In ordinary cases of belief attribution, the sentence attributing the belief can do both things at once. It can indicate the Russellian proposition that is the object of doxation, and it can indicate the sentence (or sentence-like representation) that is accepted by the believer. (When I say "Alice believes that George Eliot was a great novelist", I indicate the way that Alice represents the novelist and the individual her belief is about.) Those are paradigm cases of the use of believe. Treating believe as univocal, however, would leave us with a problem in cases like Lois's, where we need to say different things about acceptance and doxation. (For example, regarding what she accepts, she is epistemically in the clear. Her view meets the appropriate standard of consistency. However, the propositions that she doxates are inconsistent. And she rejects certain sentences that express propositions that she doxates (such as (2) and (4)).)
The situation with believe, on this view, is something like the situation with is heavier than as ordinarily used. That expression could be talking about greater weight or greater mass. Ordinarily it doesn't matter; we can express both propositions at the same time, since for the most part their truth-conditions vary together. (We can have polysemy, where the two meanings are simultaneously expressed, not just ambiguity.) But if we are comparing objects that are on different planets, or even at very different elevations on this planet, then we will have to make it clear whether we are concerned with mass or weight. Similarly, we can often indicate what is accepted and what is doxated, but in some situations we cannot do both, and so we must make it clear which we are concerned with. We can make it clear by employing the language of acceptance and doxation instead of the language of belief.
This first ambiguity view, then, just claims that believe is ambiguous (in the way that is heavier than is ambiguous) and that the ambiguity can be resolved by recognizing the two different things that are ordinarily captured in successful belief attributions. The strategy suggested here is the ordinary one for dealing with an ambiguity; we find or invent two terms and stipulate which will go with each of the meanings. Thus we might firmly stipulate that is heavier than will be associated with weight comparisons and introduce has more mass than for comparisons of mass.
Ultimately such a strategy will not work for believe however, because the situation is more complicated. Some belief attributions involve sentences that use one singular term in a purely referential way but use other terms in a way that seems to require getting the mode of representation right. For example, it could bethat Lois spots a man walking in the corridor, and makes a height judgment that leads her to say two things:
(23) He is taller than Superman.I might recognize the man in question as Rudy Sanchez, someone known to me and the people I am speaking to, but unknown to Lois (outside of the brief sighting in the corridor). I can then make these attributions:
(24) He is not taller than Clark Kent.
(25) Lois believes that Rudy Sanchez is taller than Superman.Is this acceptance or doxation? It seems that it must be both, because the name Rudy Sanchez is not being used to indicate Lois's mode of representation of the individual, but the names Superman and Clark Kent are (according to a theorist who might find this ambiguity theory attractive). With the following pair, where Rudy Sanchez is the speaker, the situation is perhaps even clearer.
(26) Lois believes that Rudy Sanchez is not taller than Clark Kent.
(27) Lois believes that I am taller than Superman.This cannot be an ambiguity located in the verb believe after all. Our intuitions support the idea that there are two different kinds of uses of singular terms (de re and de dicto) in belief attributions, but that will not divide belief attributions into the de re and de dicto, because names being used in different ways can occur in a single attribution.
(28) Lois believes that I am not taller than Clark Kent.
Edward N. Zalta has suggested a different approach that involves ambiguity in belief attributions. [Zalta 1983]
Mark Crimmins [Crimmins 1998] has recently suggested an approach that gives up on compositionality, in at least a limited way. The truth conditions of complex expressions are not determined simply by the meanings of their parts and how they are composed. Instead, in some cases, the truth-value of a sentence is determined by the truth-value it would have in a certain fictional situation. This is based on a theory of fiction that says, for example, that
Santa Claus wears a red suitis true as we usually use it, because it is true in a certain fictional situation that serves as the background for the utterance.
Applied to belief attributions, we imagine a certain pretense that goes with sentences like these:
(1) Lois believes that Superman is strong.The pretense is that there are people, Superman and Clark Kent, corresponding to Lois's modes of presentation, and associated with our use of Superman and Clark Kent. The pretense makes the differing attributions possible, even though Superman and Clark Kent both refer to the same person. At the same time, in order for Lois's first belief to be true and the second false, we must keep the terms firmly attached to that person as the object of his belief. Thus, this theory gives us the dual interpretation of names required in the mixed theories of belief attribution discussed earlier. It supplements the theory by providing a specific, non-compositional account of the truth-conditions for such sentences. Although this account is non-compositional, it is clear how we can understand new belief attributions, by applying our ordinary compositional semantics to interpret sentences with respect to non-actual situations. (Note: in using the Superman example throughout our discussion, we have already taken advantage of our ability to do engage in some pretense --- the pretense that Clark and Lois exist. Perhaps this is similar.)
(2) Lois believes that Clark Kent is not strong.
This account provides no evident way to avoid problems like those that come up for the mixed theories, however. If we are engaging in pretenses that correspond to particular people's modes of presentation when we use names, then we cannot take agreement to be sharing a belief. Different people may share a belief even though they represent the object of belief in different ways. If many people know that Clark Kent and Superman are co-referential and many don't know that, then we cannot attribute common beliefs, like "Almost everyone believes that Superman is the most important citizen of Metropolis." [See Crimmins 1998]
William Taschek has also developed a theory that he says is non-compositional, in another recent attempt to deal with the Fregean puzzles. [Taschek 1998]
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First published: February 16, 2000
Content last modified: February 16, 2000