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5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions

[descriptions which seem to pick out a unique item]

21 ideas
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
     Full Idea: Frege (1893) considered a definite description to be a genuine singular term (as we do), so that a sentence like 'The present King of France is bald' would have the same logical form as 'Harry Truman is bald'.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by M Fitting/R Mendelsohn - First-Order Modal Logic
     A reaction: The difficulty is what the term refers to, and they embrace a degree of Meinongianism - that is that non-existent objects can still have properties attributed to them, and so can be allowed some sort of 'existence'.
Critics say definite descriptions can refer, and may not embody both uniqueness and existence claims [Grayling on Russell]
     Full Idea: The main objections to Russell's theory of descriptions are to say that definite descriptions sometime are referring expressions, and disputing the claim that definite descriptions embody both uniqueness and existence claims.
     From: comment on Bertrand Russell (On Denoting [1905]) by A.C. Grayling - Russell Ch.2
     A reaction: The first one seems particularly correct, as you can successfully refer with a false description. See Colin McGinn (Idea 6067) for criticism of the existence claim made by the so-called 'existential' quantifier.
Definite descriptions fail to refer in three situations, so they aren't essentially referring [Russell, by Sainsbury]
     Full Idea: Russell's reasons for saying that definite descriptions are not referring expressions are: some definite descriptions have no referent, and they cannot be referring when used in negative existential truths, or in informative identity sentences.
     From: report of Bertrand Russell (On Denoting [1905]) by Mark Sainsbury - The Essence of Reference 18.5
     A reaction: The idea is that by 'parity of form', if they aren't referring in these situations, they aren't really referring in others. Sainsbury notes that if there are two different forms of definite description (referential and attributive) these arguments fail.
The phrase 'a so-and-so' is an 'ambiguous' description'; 'the so-and-so' (singular) is a 'definite' description [Russell]
     Full Idea: A phrase of the form 'a so-and-so' I shall call an 'ambiguous' description, and a phrase of the form 'the so-and-so' (in the singular) I shall call a 'definite' description.
     From: Bertrand Russell (Problems of Philosophy [1912], Ch. 5)
     A reaction: This leaves the problem of those definite descriptions which succeed in referring ('the present Prime Minister'), those which haven't succeeded yet ('the person who will get the most votes'), and those which won't refer ('the present King of France').
'The' is a quantifier, like 'every' and 'a', and does not result in denotation [Montague]
     Full Idea: The expression 'The' turns out to play the role of a quantifier, in complete analogy with 'every' and 'a', and does not generate (in common with common noun phrases) denoting expressions
     From: Richard Montague (English as a Formal Language [1970], p.216), quoted by Bernard Linsky - Quantification and Descriptions 4
     A reaction: Linsky says that it is now standard to interpret definite descriptions as quantifiers
A definite description can have a non-referential use [Donnellan]
     Full Idea: A definite description may also be used non-referentially, even as it occurs in one and the same sentence.
     From: Keith Donnellan (Reference and Definite Descriptions [1966], §I)
     A reaction: Donnellan says we have to know about the particular occasion on which the description is used, as in itself it will not achieve reference. "Will the last person out switch off the lights" achieves its reference at the end of each day.
Definite descriptions are 'attributive' if they say something about x, and 'referential' if they pick x out [Donnellan]
     Full Idea: A speaker who uses a definite description 'attributively' in an assertion states something about whoever or whatever is the so-and-so; a speaker who uses it 'referentially' enables his audience to pick out whom or what he is talking about.
     From: Keith Donnellan (Reference and Definite Descriptions [1966], §III)
     A reaction: "Smith's murderer is insane" exemplifies the first use before he is caught, and the second use afterwards. The gist is that reference is not a purely linguistic activity, but is closer to pointing at something. This seems right.
'The x is F' only presumes that x exists; it does not actually entail the existence [Donnellan]
     Full Idea: For Russell there is a logical entailment: 'the x is F' entails 'there exists one and only one x'. Whether or not this is true of the attributive use of definite descriptions, it does not seem true of the referential use. The existence is a presumption.
     From: Keith Donnellan (Reference and Definite Descriptions [1966], §VI)
     A reaction: Can we say 'x does not exist, but x is F'? Strictly, that sounds to me more like a contradiction than a surprising rejection of a presumption. However, 'Father Xmas does not exist, but he has a red coat'.
Definite desciptions resemble names, but can't actually be names, if they don't always refer [Bostock]
     Full Idea: Although a definite description looks like a complex name, and in many ways behaves like a name, still it cannot be a name if names must always refer to objects. Russell gave the first proposal for handling such expressions.
     From: David Bostock (Intermediate Logic [1997], 8.3)
     A reaction: I take the simple solution to be a pragmatic one, as roughly shown by Donnellan, that sometimes they are used exactly like names, and sometimes as something else. The same phrase can have both roles. Confusing for logicians. Tough.
Because of scope problems, definite descriptions are best treated as quantifiers [Bostock]
     Full Idea: Because of the scope problem, it now seems better to 'parse' definition descriptions not as names but as quantifiers. 'The' is to be treated in the same category as acknowledged quantifiers like 'all' and 'some'. We write Ix - 'for the x such that..'.
     From: David Bostock (Intermediate Logic [1997], 8.3)
     A reaction: This seems intuitively rather good, since quantification in normal speech is much more sophisticated than the crude quantification of classical logic. But the fact is that they often function as names (but see Idea 13817).
Definite descriptions are usually treated like names, and are just like them if they uniquely refer [Bostock]
     Full Idea: In practice, definite descriptions are for the most part treated as names, since this is by far the most convenient notation (even though they have scope). ..When a description is uniquely satisfied then it does behave like a name.
     From: David Bostock (Intermediate Logic [1997], 8.3)
     A reaction: Apparent names themselves have problems when they wander away from uniquely picking out one thing, as in 'John Doe'.
Definite descriptions don't always pick out one thing, as in denials of existence, or errors [Bostock]
     Full Idea: It is natural to suppose one only uses a definite description when one believes it describes only one thing, but exceptions are 'there is no such thing as the greatest prime number', or saying something false where the reference doesn't occur.
     From: David Bostock (Intermediate Logic [1997], 8.3)
We are only obliged to treat definite descriptions as non-names if only the former have scope [Bostock]
     Full Idea: If it is really true that definite descriptions have scopes whereas names do not, then Russell must be right to claim that definite descriptions are not names. If, however, this is not true, then it does no harm to treat descriptions as complex names.
     From: David Bostock (Intermediate Logic [1997], 8.8)
Definite descriptions can be used to refer, but are not semantically referential [Bach]
     Full Idea: If Russell is, as I believe, basically right, then definite descriptions are the paradigm of singular terms that can be used to refer but are not linguistically (semantically) referential.
     From: Kent Bach (What Does It Take to Refer? [2006], 22.1 s5)
     A reaction: I'm not sure that we can decide what is 'semantically referential'. Most of the things we refer to don't have names. We don't then 'use' definite descriptions (I'm thinking) - they actually DO the job. If we use them, we can 'use' names too?
Definite descriptions may not be referring expressions, since they can fail to refer [Sainsbury]
     Full Idea: Almost everyone agrees that intelligible definite descriptions may lack a referent; this has historically been a reason for not counting them among referring expressions.
     From: Mark Sainsbury (The Essence of Reference [2006], 18.2)
     A reaction: One might compare indexicals such as 'I', which may be incapable of failing to refer when spoken. However 'look at that!' frequently fails to communicate reference.
Definite descriptions are usually rigid in subject, but not in predicate, position [Sainsbury]
     Full Idea: Definite descriptions used with referential intentions (usually in subject position) are normally rigid, ..but in predicate position they are normally not rigid, because there is no referential intention.
     From: Mark Sainsbury (The Essence of Reference [2006], 18.5)
     A reaction: 'The man in the blue suit is the President' seems to fit, but 'The President is the head of state' doesn't. Seems roughly right, but language is always too complex for philosophers.
We could make a contingent description into a rigid and necessary one by adding 'actual' to it [Jubien]
     Full Idea: 'The winner of the Derby' satisfies some horse, but only accidentally. But we could 'rigidify' the description by inserting 'actual' into it, giving 'the actual winner of the Derby'. Winning is a contingent property, but actually winning is necessary.
     From: Michael Jubien (Possibility [2009], 5.1)
     A reaction: I like this unusual proposal because instead of switching into formal logic in order to capture the ideas we are after, he is drawing on the resources of ordinary language, offering philosophers a way of speaking plain English more precisely.
The denotation of a definite description is flexible, rather than rigid [Burgess]
     Full Idea: By contrast to rigidly designating proper names, …the denotation of definite descriptions is (in general) not rigid but flexible.
     From: John P. Burgess (Philosophical Logic [2009], 2.9)
     A reaction: This modern way of putting it greatly clarifies why Russell was interested in the type of reference involved in definite descriptions. Obviously some descriptions (such as 'the only person who could ever have…') might be rigid.
Definite descriptions, unlike proper names, have a logical structure [Linsky,B]
     Full Idea: Definite descriptions seem to have a logical structure in a way that proper names do not.
     From: Bernard Linsky (Quantification and Descriptions [2014], 1.1.1)
     A reaction: Thus descriptions have implications which plain names do not.
The four leading theories of definite descriptions are Frege's, Russell's, Evans's, and Prior's [Bealer]
     Full Idea: The four leading theories of definite descriptions are Frege's, Russell's, Evans's, and Prior's, ...of which to many Frege's is the most intuitive of the four. Frege says they refer to the unique item (if it exists) which satisfies the predicate.
     From: George Bealer (Propositions [1998], §5)
     A reaction: He doesn't expound the other three, but I record this a corrective to the view that Russell has the only game in town.
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
     Full Idea: If we extend the power of language with plural definite descriptions, these would pick out the largest class of things that fit the description.
     From: Keith Hossack (Plurals and Complexes [2000], 3)