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5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions

[rewriting of descriptive terms to show underlying logic]

25 ideas
Russell's theory must be wrong if it says all statements about non-existents are false [Read on Russell]
     Full Idea: Russell's theory makes an exciting distinction between logical and grammatical form, but any theory which says that every positive statement, without distinction, about objects which don't exist is false, has to be wrong.
     From: comment on Bertrand Russell (On Denoting [1905]) by Stephen Read - Thinking About Logic Ch.5
The theory of descriptions eliminates the name of the entity whose existence was presupposed [Russell, by Quine]
     Full Idea: When a statement of being or non-being is analysed by Russell's theory of descriptions it ceases to contain any expression which even purports to name the alleged entity, so the being of such an entity is no longer presupposed.
     From: report of Bertrand Russell (On Denoting [1905]) by Willard Quine - On What There Is p.6
Russell's theory explains non-existents, negative existentials, identity problems, and substitutivity [Russell, by Lycan]
     Full Idea: Russell showed that his theory of definite descriptions affords solutions to each of four vexing logical problems: the Problems of Apparent Reference to Non-existents and Negative existentials, Frege's Puzzle about Identity, and Substitutivity.
     From: report of Bertrand Russell (On Denoting [1905]) by William Lycan - Philosophy of Language 2.Over
     A reaction: You must seek elsewhere for the explanations of the four problems, but this gives some indication of why Russell's theory was famous, and was felt to be a breakthrough in explaining logical forms.
Russell showed how to define 'the', and thereby reduce the ontology of logic [Russell, by Lackey]
     Full Idea: With the devices of the Theory of Descriptions at hand, it was no longer necessary to take 'the' as indefinable, and it was possible to diminish greatly the number of entities to which a logical system is ontologically committed.
     From: report of Bertrand Russell (On Denoting [1905]) by Douglas Lackey - Intros to Russell's 'Essays in Analysis' p.13
     A reaction: Illuminating, because it shows that ontology is what drove Russell at this time, and really they were all searching for Quine's 'desert landscapes', which minimalise commitment.
The theory of definite descriptions reduces the definite article 'the' to the concepts of predicate logic [Russell, by Horwich]
     Full Idea: Russell's theory of definite descriptions reduces the definite article 'the' to the notions of predicate logic - specifically, 'some', 'every', and 'same as'.
     From: report of Bertrand Russell (On Denoting [1905]) by Paul Horwich - Truth (2nd edn) Ch.2.7
     A reaction: This helpfully clarifies Russell's project - to find the logical form of every sentence, expressed in terms which are strictly defined and consistent. This huge project now looks rather too optimistic. Artificial Intelligence would love to complete it.
Russell implies that 'the baby is crying' is only true if the baby is unique [Grayling on Russell]
     Full Idea: Russell's analysis of 'the baby is crying' seems to imply that this can only be true if there is just one baby in the world; ..to dispose of the objection, it seems necessary to appeal implicitly or explicitly to a 'domain of discourse'.
     From: comment on Bertrand Russell (On Denoting [1905]) by A.C. Grayling - Russell Ch.2
     A reaction: This objection leads to ordinary language philosophy, and the 'pragmatics' of language. It is standard in modern predicate logic to specify the domain over which an expression is quantified.
Russell explained descriptions with quantifiers, where Frege treated them as names [Russell, by McCullogh]
     Full Idea: Russell proposed that descriptions be treated along with the quantifiers, which departs from Frege, who treated descriptions as proper names. ...the problem was that names invoke objects, and there is no object in failed descriptions.
     From: report of Bertrand Russell (On Denoting [1905]) by Gregory McCullogh - The Game of the Name 2.16
     A reaction: Maybe we just allow intentional objects (such as unicorns) into our ontology? Producing a parsimonious ontology seems to be the main motivation of most philosophy of language. Or maybe names are just not committed to actual existence?
Russell avoids non-existent objects by denying that definite descriptions are proper names [Russell, by Miller,A]
     Full Idea: Russell attempted to avoid Meinong's strategy (of saying 'The present King of France' refers to a 'non-existent object') by denying that definite descriptions are proper names.
     From: report of Bertrand Russell (On Denoting [1905]) by Alexander Miller - Philosophy of Language 2.7
     A reaction: Russell claimed that there was a covert existence claim built into a definite description. What about descriptions in known counterfactual situations ('Queen of the Fairies')?
Denying definite description sentences are subject-predicate in form blocks two big problems [Russell, by Forbes,G]
     Full Idea: Since Russell did not want to introduce non-existent objects, or declare many sentences meaningless, he prevented the problem from getting started, by denying that 'the present King of France is bald' is really a subject-predicate sentence.
     From: report of Bertrand Russell (On Denoting [1905]) by Graeme Forbes - The Metaphysics of Modality 4.1
Russell says apparent referring expressions are really assertions about properties [Russell, by Cooper,DE]
     Full Idea: Russell's theory says that sentences which apparently serve to refer to particulars are really assertions about properties.
     From: report of Bertrand Russell (On Denoting [1905]) by David E. Cooper - Philosophy and the Nature of Language §4.1
     A reaction: Right. Which is why particulars get marginalised in Russell, and universals take centre stage. I can't help suspecting that talk of de re/de dicto reference handles this problem better.
The theory of descriptions lacks conventions for the scope of quantifiers [Lackey on Russell]
     Full Idea: Some logicians charge that the theory of descriptions as it stands is formally inadequate because it lacks explicit conventions for the scope of quantifiers, and that when these conventions are added the theory becomes unduly complex.
     From: comment on Bertrand Russell (On Denoting [1905]) by Douglas Lackey - Intros to Russell's 'Essays in Analysis' p.97
     A reaction: [Especially in modal contexts, apparently] I suppose if the main point is to spell out the existence commitments of the description, then that has to include quantification, for full generality.
Non-count descriptions don't threaten Russell's theory, which is only about singulars [Laycock on Russell]
     Full Idea: It is sometimes claimed that the behaviour of definite non-count descriptions shows Russell's Theory of Descriptions itself to be false. ....but it isn't a general theory of descriptions, but precisely a theory of singular descriptions.
     From: comment on Bertrand Russell (On Denoting [1905]) by Henry Laycock - Words without Objects 3.1
Denoting is crucial in Russell's account of mathematics, for identifying classes [Russell, by Monk]
     Full Idea: Denoting phrases are central to mathematics, especially in Russell's 'logicist' theory, in which they are crucial to identifying classes ('the class of all mortal beings', 'the class of natural numbers').
     From: report of Bertrand Russell (On Denoting [1905]) by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.6
     A reaction: This explains the motivation for Russell's theory of definite descriptions, since he thinks reference is achieved by description. Russell nearly achieved an extremely complete philosophical system.
Russell's analysis means molecular sentences are ambiguous over the scope of the description [Kaplan on Russell]
     Full Idea: Russell's analysis of sentences containing definite descriptions has as an immediate consequence the doctrine that molecular sentences containing definite descriptions are syntactically ambiguous as regards the scope of the definite description.
     From: comment on Bertrand Russell (On Denoting [1905]) by David Kaplan - How to Russell a Frege-Church I
     A reaction: Presumably this is a virtue of Russell's account, and an advert for analytic philosophy, because it reveals an ambiguity which was there all the time.
Names can be converted to descriptions, and Russell showed how to eliminate those [Quine]
     Full Idea: I have shown that names can be converted to descriptions, and Russell has shown that descriptions can be eliminated.
     From: Willard Quine (On What There Is [1948], p.12)
'The present King of France is bald' presupposes existence, rather than stating it [Strawson,P, by Grayling]
     Full Idea: Strawson argues that in saying 'the present King of France is bald' one is not stating that a present King of France exists, but presupposing or assuming that it does.
     From: report of Peter F. Strawson (On Referring [1950]) by A.C. Grayling - Russell Ch.2
     A reaction: We have the notion of a leading question, such as 'when did you stop beating your wife?' But is a presupposition not simply an implied claim, as Russell said it was?
Russell asks when 'The King of France is wise' would be a true assertion [Strawson,P]
     Full Idea: The way in which Russell arrived at his analysis was by asking himself what would be the circumstances in which we would say that anyone who uttered the sentence 'The King of France is wise' had made a true assertion.
     From: Peter F. Strawson (On Referring [1950], §1)
     A reaction: This seems to connect Russell's theory of definite descriptions with the truth conditions theory of meaning which is associated (initially) with Frege. Truth will require some reference to what actually exists.
If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE]
     Full Idea: If 'the Queen of England' is not a referring expression when there is no queen, nor can it be one when there is a queen - since the meaning of the expression is the same in either case.
     From: David E. Cooper (Philosophy and the Nature of Language [1973], §4.1)
     A reaction: I'm not convinced. Does this mean that since I can point with my finger at nothing, I therefore do not indicate anything when there is an object at which I am pointing. Sounds silly to me.
For Russell, expressions dependent on contingent circumstances must be eliminated [Kaplan]
     Full Idea: It is a tenet of Russell's theory that all expressions, and especially definite descriptions, whose denotation is dependent upon contingent circumstances must be eliminated.
     From: David Kaplan (How to Russell a Frege-Church [1975], II)
Names do not have scope problems (e.g. in placing negation), but Russell's account does have that problem [Bostock]
     Full Idea: In orthodox logic names are not regarded as having scope (for example, in where a negation is placed), whereas on Russell's theory definite descriptions certainly do. Russell had his own way of dealing with this.
     From: David Bostock (Intermediate Logic [1997], 8.3)
Recognising the definite description 'the man' as a quantifier phrase, not a singular term, is a real insight [Soames]
     Full Idea: Recognising the definite description 'the man' as a quantifier phrase, rather than a singular term, is a real insight.
     From: Scott Soames (Philosophy of Language [2010], 1.22)
     A reaction: 'Would the man who threw the stone come forward' seems like a different usage from 'would the man in the black hat come forward'.
The theory of descriptions supports internalism, since they are thinkable when the object is non-existent [Crane]
     Full Idea: The theory of descriptions gives a model of internalist intentionality, in that it describes cases where the thinkability of a belief does not depend on the existence of a specific object.
     From: Tim Crane (Elements of Mind [2001], 4.36)
     A reaction: So what do externalists say about the theory? Surely a reference to 'water' can't entail the existence of water?
On Russell's analysis, the sentence "The winged horse has wings" comes out as false [Jacquette]
     Full Idea: It is infamous that on Russell's analysis the sentences "The winged horse has wings" and "The winged horse is a horse" are false, because in the extant domain of actual existent entities there contingently exist no winged horses
     From: Dale Jacquette (Ontology [2002], Ch. 6)
     A reaction: This is the best objection I have heard to Russell's account of definite descriptions. The connected question is whether 'quantifies over' is really a commitment to existence. See Idea 6067.
Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
     Full Idea: The theory of definite descriptions may eliminate apparent commitment to such entities as the present King of France, but certainly not to the present Queen of England.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7.3)
Definites descriptions don't solve the empty names problem, because the properties may not exist [Sawyer]
     Full Idea: If it were possible for a definite description to be empty - not in the sense of there being no object that satisfies it, but of there being no set of properties it refers to - the problem of empty names would not have been solved.
     From: Sarah Sawyer (Empty Names [2012], 5)
     A reaction: Swoyer is thinking of properties like 'is a unicorn', which are clearly just as vulnerable to being empty as 'the unicorn' was. It seems unlikely that 'horse', 'white' and 'horn' would be empty.