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The claim that vagueness leads to indeterminacy in some cases is a feature of, for instance, H.LA. Hart's theory of law, which radical theorists oppose. I discuss claims of radical indeterminacy in Linguistic Indeterminacy, 16 OXFORD J. LEGAL STUD.
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The indeterminacy claim needs to be distinguished from the radical indeterminacy claims of some critical and deconstructionist theorists. The claim that vagueness leads to indeterminacy in some cases is a feature of, for instance, H.LA. Hart's theory of law, which radical theorists oppose. I discuss claims of radical indeterminacy in Linguistic Indeterminacy, 16 OXFORD J. LEGAL STUD., 667 (1996).
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(1996)
The indeterminacy claim needs to be distinguished from the radical indeterminacy claims of some critical and deconstructionist theorists.
, pp. 667
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” By this I mean a case in which it is unclear, because of the vagueness of an expression, whether the expression applies. I will have to go ahead and use the term without making any further attempt to explain what a borderline case is: That explanation would be a complete account of the nature of vagueness, and this paper is meant to be one fragment of such an account
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I will use “borderline case” as shorthand for “borderline case for the application of a vague expression.” By this I mean a case in which it is unclear, because of the vagueness of an expression, whether the expression applies. I will have to go ahead and use the term without making any further attempt to explain what a borderline case is: That explanation would be a complete account of the nature of vagueness, and this paper is meant to be one fragment of such an account
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I will use “borderline case” as shorthand for “borderline case for the application of a vague expression.
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Joseph Raz formulated the “indeterminacy thesis” in this way in a dispute with Ronald Dworkin about the nature of legal principles: “if the content of the law is exclusively determined by social facts, then the law is gappy; that is, there are legal statements which are neidier true nor false.” Legal Principles and the Limits ofLmv, in RONALD DWORKIN AND CONTEMPORARY JURISPRUDENCE 73 (Marshall Cohen ed., 1983). Cf. Jules Coleman: “Philosophers generally agree that some sentences involving the application of vague predicates are neither true nor false.” Truth and Objectivity in Law, 1 LEGAL THEORY 33 (1995). For a recent example of a philosopher of language who adopts the position that a vague statement is neither true nor false in a borderline case see Michael Tye, Sorites Paradoxes and the Semantics of Vagueness, 8 PHILOSOPHICAL PERSPECTIVES 188 (1994). For an argument against the position, see Kit Fine, 30 SYNTHESE
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Joseph Raz formulated the “indeterminacy thesis” in this way in a dispute with Ronald Dworkin about the nature of legal principles: “if the content of the law is exclusively determined by social facts, then the law is gappy; that is, there are legal statements which are neidier true nor false.” Legal Principles and the Limits ofLmv, in RONALD DWORKIN AND CONTEMPORARY JURISPRUDENCE 73 (Marshall Cohen ed., 1983). Cf. Jules Coleman: “Philosophers generally agree that some sentences involving the application of vague predicates are neither true nor false.” Truth and Objectivity in Law, 1 LEGAL THEORY 33 (1995). For a recent example of a philosopher of language who adopts the position that a vague statement is neither true nor false in a borderline case see Michael Tye, Sorites Paradoxes and the Semantics of Vagueness, 8 PHILOSOPHICAL PERSPECTIVES 188 (1994). For an argument against the position, see Kit Fine, Vagueness, Truth and Logic, 30 SYNTHESE 265 (1975).
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Vagueness, Truth and Logic
, pp. 265
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111 LAW Q. REV. 519, reviewing H.LA. Hart, THE CONCEIT OF LAW (2nd ed., J. Raz and PA. Bulloch eds., 1994). It seems that the problem is not actually one of proof. What a plaintiff has to do is to prove facts that support a cause of action. In a borderline case, the plaintiffs problem is not that he or she cannot discharge the burden of proving facts, but that, as the second sentence of the quotation from Lyons suggests, it is unclear whether the facts support a cause of action {cf. the distinction between the prosecution's burden of proof in a criminal case, and a rule that criminal statutes are to be interpreted in favor of the accused).
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Book review, 111 LAW Q. REV. 519 (1995), reviewing H.LA. Hart, THE CONCEIT OF LAW (2nd ed., J. Raz and PA. Bulloch eds., 1994). It seems that the problem is not actually one of proof. What a plaintiff has to do is to prove facts that support a cause of action. In a borderline case, the plaintiffs problem is not that he or she cannot discharge the burden of proving facts, but that, as the second sentence of the quotation from Lyons suggests, it is unclear whether the facts support a cause of action {cf. the distinction between the prosecution's burden of proof in a criminal case, and a rule that criminal statutes are to be interpreted in favor of the accused).
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(1995)
Book review
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It could do so, but (i) there may be no such presumption and (ii) if there were, that would be a rule of law in addition to the rule imposing the vague term. That is, the case would be resolved by the presumption, and not as a result of the nature of a cause of action based on a vague law (cf. the argument in the text below.
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Could the court resolve the dispute by applying a presumption that the seller has performed by delivering unless the term is clearly breached (or that the seller has not performed unless the term is clearly fulfilled)? It could do so, but (i) there may be no such presumption and (ii) if there were, that would be a rule of law in addition to the rule imposing the vague term. That is, the case would be resolved by the presumption, and not as a result of the nature of a cause of action based on a vague law (cf. the argument in the text below.
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Could the court resolve the dispute by applying a presumption that the seller has performed by delivering unless the term is clearly breached (or that the seller has not performed unless the term is clearly fulfilled)?
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(Michael Hartney trans., 1991) [hereafter GTN] 366; cf. INTRODUCTION TO THE PROBLEMS OF LEGAL THEORY (Bonnie Litschewski Paulson and Stanley L. Paulson trans., 1992) [translation of the first, 1934 edition of REINE REarrs-LEHRE, hereafter IPLT] 84, and PURE THEORY OF LAW (Max Knight trans., 1967) [translation of the second, 1960 edition of REINE RECHTSLEHRE, hereafter PTL] 245-6. The claim in this form seems also to have survived changes in Kelsen's conception of a “gap”: For a discussion of those changes and a critique of Kelsen's doctrine of completeness, see Carlos Alchourron and Eugenio Bulygin, NORMATIVE SYSTEMS, esp. at
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Hans Kelsen, GENERAL THEORY OF NORMS (Michael Hartney trans., 1991) [hereafter GTN] 366; cf. INTRODUCTION TO THE PROBLEMS OF LEGAL THEORY (Bonnie Litschewski Paulson and Stanley L. Paulson trans., 1992) [translation of the first, 1934 edition of REINE REarrs-LEHRE, hereafter IPLT] 84, and PURE THEORY OF LAW (Max Knight trans., 1967) [translation of the second, 1960 edition of REINE RECHTSLEHRE, hereafter PTL] 245-6. The claim in this form seems also to have survived changes in Kelsen's conception of a “gap”: For a discussion of those changes and a critique of Kelsen's doctrine of completeness, see Carlos Alchourron and Eugenio Bulygin, NORMATIVE SYSTEMS (1971), esp. at 129-33.
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GENERAL THEORY OF NORMS
, pp. 129-133
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Kelsen, H.1
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IPLT
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PTL 351; cf. 1PLT80.
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PTL
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in HANS KELSEN'S LEG\LTHEORY A DIACHRONIC PERSPECTIVE (Letizia Gianformaggio ed,, ). Kelsen's list of forms of indeterminacy ((a) to (d) in text above) supports that claim. Kelsen's notion of indeterminacy is an artefact of his preoccupations with the question of whether logic applies to norms, and with the relation between general and individual norms, which cannot be discussed here. It is sufficient for our puqioses that Kelsen's doctrine of indeterminacy, though not a linguistic doctrine, gives his theory a potential device for accounting for linguistic indeterminacy. He used the device in that way when he discussed ambiguity; the discussion here proposes a way of using the same tlevice to give an account of vagueness.
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Claudio Luzzati has made a convincing argument that Kelsen's “indeterminacy* is not linguistic in nature: Discretion and ‘Indeterminacy'in Kfken's Theory of Ijgal Interpretation, in HANS KELSEN'S LEG\LTHEORY A DIACHRONIC PERSPECTIVE (Letizia Gianformaggio ed,, 1990). Kelsen's list of forms of indeterminacy ((a) to (d) in text above) supports that claim. Kelsen's notion of indeterminacy is an artefact of his preoccupations with the question of whether logic applies to norms, and with the relation between general and individual norms, which cannot be discussed here. It is sufficient for our puqioses that Kelsen's doctrine of indeterminacy, though not a linguistic doctrine, gives his theory a potential device for accounting for linguistic indeterminacy. He used the device in that way when he discussed ambiguity; the discussion here proposes a way of using the same tlevice to give an account of vagueness.
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(1990)
Claudio Luzzati has made a convincing argument that Kelsen's “indeterminacy* is not linguistic in nature: Discretion and ‘Indeterminacy'in Kfken's Theory of Ijgal Interpretation
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see Fine, Claudio Luzzati has made a convincing argument that Kelsen's “indeterminacy* is not linguistic in nature: Discretion and ‘Indeterminacy'in Kfken's Theory of Ijgal Interpretation note 7, and for criticism see Timothy Williamson, VAGUENESS, chapter
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Philosophers of language with “supervaluational” theories treat vagueness in this way: For an example, see Fine, Claudio Luzzati has made a convincing argument that Kelsen's “indeterminacy* is not linguistic in nature: Discretion and ‘Indeterminacy'in Kfken's Theory of Ijgal Interpretation note 7, and for criticism see Timothy Williamson, VAGUENESS (1994), chapter 5.
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(1994)
Philosophers of language with “supervaluational” theories treat vagueness in this way: For an example
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Right Ansurr? in L\w, 58 (P.M.S. Hacker and Joseph Raz eds.,)
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Ronald Dworkin, Right Ansurr? in L\w, MORALITY AND SOCIETY 58 (P.M.S. Hacker and Joseph Raz eds., 1977) 67-69.
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MORALITY AND SOCIETY
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73. Cf. Hart's view of the role of interpretation in areas of “open texture”: “Canons of ‘interpretation’ cannot eliminate, though they can diminish, these uncertainties; for these canons are themselves general rules for the use of language, and make use of general terms which themselves require interpretation.” THE CONCEPT OF LAW (2d cd., 1994)
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Joseph Raz, THE AuniORrn'OF LAW (1979) 73. Cf. Hart's view of the role of interpretation in areas of “open texture”: “Canons of ‘interpretation’ cannot eliminate, though they can diminish, these uncertainties; for these canons are themselves general rules for the use of language, and make use of general terms which themselves require interpretation.” THE CONCEPT OF LAW (2d cd., 1994) 126.
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(1979)
THE AuniORrn'OF LAW
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THE AuniORrn'OF LAW note 4, at 31-32; or Mark Sainsbury, 41 PHIL. Q. 167 (1991). Hilary Putnam makes a similar objection to Dworkin in Are Moral and Isgal Values Made or Discmvml? 1 LEGAL THEORY 5, and Replies (THE AuniORrn'OF LAW, note 16, at
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Bix, THE AuniORrn'OF LAW note 4, at 31-32; or Mark Sainsbury, Is There Higher-Order Vagueness? 41 PHIL. Q. 167 (1991). Hilary Putnam makes a similar objection to Dworkin in Are Moral and Isgal Values Made or Discmvml? 1 LEGAL THEORY 5 (1995), and Replies (THE AuniORrn'OF LAW, note 16, at 76
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(1995)
Is There Higher-Order Vagueness?
, pp. 76
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Dworkin, A MATTER OF PRINCIPLE 119 (1986) [AMP]. Note that some philosophers oflanguage have also argued that there is first-order vagueness but no such thing as higher-order vagueness; see Crispin Wright, Is Higher Order Vagueness Coherent* 53 ANALYSIS 129 (1992). My argument can only succeed against Dworkin if it would also succeed against Wright, but I will not address Wright's position directly. For an argument against Wright's position, see Dorothy Edgington, Wright and Sainslmry on Higher-onler Vagueness, 53 ANALYSIS
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Ronald Dworkin, Is T/iere Really No Right Ansnvr in Hard Cases? in Dworkin, A MATTER OF PRINCIPLE 119 (1986) [AMP]. Note that some philosophers oflanguage have also argued that there is first-order vagueness but no such thing as higher-order vagueness; see Crispin Wright, Is Higher Order Vagueness Coherent* 53 ANALYSIS 129 (1992). My argument can only succeed against Dworkin if it would also succeed against Wright, but I will not address Wright's position directly. For an argument against Wright's position, see Dorothy Edgington, Wright and Sainslmry on Higher-onler Vagueness, 53 ANALYSIS 193 (1992).
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(1992)
Is T/iere Really No Right Ansnvr in Hard Cases?
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Dworkin, R.1
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AMP 130.
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Our subject will be in no doubt that the first concert is a rate, and at some point in the series there will presumably be a single first concert about which he or she feels some doubt. So it may seem that any speaker will find three sharply bounded classes of case: Cases in which x is undoubtedly 4>, cases in which x is undoubtedly not 4>, and cases in which there is some doubt But this tempting view should be rejected. The fact that there is a first case in which our subject experiences doubt does not mean that there is a sharp boundary to the doubtful cases, because there is no reason why he or she should not have started experiencing doubt at a different point in the series, and because a rational speaker will not say, “I have no doubts whatever about that case, but I'm not sure about this imperceptibly different case.” “Doubtful” is vague. For a similar argument against the appearance that there can be no higher-order vagueness, see Williamson, supm note 15, at
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It is tempting to deny this claim: After all, someone who is in any shadow of a doubt is in doubt Suppose that we show someone a sorites series of concerts, starting with a concert that clearly fits the definition of a rave, and moving by imperceptible reductions in volume to a concert that clearly does not fit the definition. Our subject will be in no doubt that the first concert is a rate, and at some point in the series there will presumably be a single first concert about which he or she feels some doubt. So it may seem that any speaker will find three sharply bounded classes of case: Cases in which x is undoubtedly 4>, cases in which x is undoubtedly not 4>, and cases in which there is some doubt But this tempting view should be rejected. The fact that there is a first case in which our subject experiences doubt does not mean that there is a sharp boundary to the doubtful cases, because there is no reason why he or she should not have started experiencing doubt at a different point in the series, and because a rational speaker will not say, “I have no doubts whatever about that case, but I'm not sure about this imperceptibly different case.” “Doubtful” is vague. For a similar argument against the appearance that there can be no higher-order vagueness, see Williamson, supm note 15, at 161.
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It is tempting to deny this claim: After all, someone who is in any shadow of a doubt is in doubt Suppose that we show someone a sorites series of concerts, starting with a concert that clearly fits the definition of a rave, and moving by imperceptible reductions in volume to a concert that clearly does not fit the definition.
, pp. 161
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AMP
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Here I have adapted the argument in WILLIAMSON, Id. note 15, at 187. It does not work if we replace with, e.g., gibberish: Nonsense cannot be true or false, and the conclusion (5) would not be a contradiction, but just meaningless. For Williamson's argument that a vague statement in a borderline case “says something,” see id. at
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Here I have adapted the argument in WILLIAMSON, Id. note 15, at 187. As Williamson points out, the argument only works if the equivalent in his argument of p “says something.” It does not work if we replace with, e.g., gibberish: Nonsense cannot be true or false, and the conclusion (5) would not be a contradiction, but just meaningless. For Williamson's argument that a vague statement in a borderline case “says something,” see id. at 195.
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As Williamson points out, the argument only works if the equivalent in his argument of p “says something.
, pp. 195
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Note that three-valued logics can be constructed in which there is no contradiction in saying that a statement is neither true nor false: For discussion of examples dating back to C.S. Peirce, see Williamson, As Williamson points out, the argument only works if the equivalent in his argument of p “says something.” note 15, chapter 4. A further example is G.H. von Wright's truth logic (Georg Henrik von Wright, Truth and Logic, in 26 I am grateful to Jose Juan Moreso and Pablo Navarro for pointing this out). Such logics yield a third option: Instead of presenting Fs claim as an external negation with classical logic or an internal negation with classical logic, as I have proposed in the text, we could interpret V's claim as an external negation, with a non-classical logic that countenances external negations (truth logic, for example, represents truth by means of a modal operator that has the effect of allowing external negation of assertions within the logic). Possible objections to using three-valued logics to deal with vagueness are that (i) they replace the ordinary notions of “true” and “false” with artificial properties somewhat akin to the ordinary notions of “clearly true” and “clearly false,” (ii) they cannot cope with higher-order vagueness, and (iii) they ignore the reason given in the text below for not asserting that the utterance of a vague sentence in a borderline case is neither true nor false. Those objections cannot be developed here; it is enough for the present argument if R has available an alternative to Vs tri valence.
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Note that three-valued logics can be constructed in which there is no contradiction in saying that a statement is neither true nor false: For discussion of examples dating back to C.S. Peirce, see Williamson, As Williamson points out, the argument only works if the equivalent in his argument of p “says something.” note 15, chapter 4. A further example is G.H. von Wright's truth logic (Georg Henrik von Wright, Truth and Logic, in TRUTH, KNOWLEDGE AND MODALITIES 26 (1984); I am grateful to Jose Juan Moreso and Pablo Navarro for pointing this out). Such logics yield a third option: Instead of presenting Fs claim as an external negation with classical logic or an internal negation with classical logic, as I have proposed in the text, we could interpret V's claim as an external negation, with a non-classical logic that countenances external negations (truth logic, for example, represents truth by means of a modal operator that has the effect of allowing external negation of assertions within the logic). Possible objections to using three-valued logics to deal with vagueness are that (i) they replace the ordinary notions of “true” and “false” with artificial properties somewhat akin to the ordinary notions of “clearly true” and “clearly false,” (ii) they cannot cope with higher-order vagueness, and (iii) they ignore the reason given in the text below for not asserting that the utterance of a vague sentence in a borderline case is neither true nor false. Those objections cannot be developed here; it is enough for the present argument if R has available an alternative to Vs tri valence.
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(1984)
TRUTH, KNOWLEDGE AND MODALITIES
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For Williamson's argument against rejecting disquotation, see id. at 190-92, and for a proposal that someone like V could reinterpret the principle, see Crispin Wright, The Epistemic Conception of Vagueness, 33 S.J. ?HlL.(Surp.)
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The ob%ious stratagem would be to reject the disquotational principle (2). For Williamson's argument against rejecting disquotation, see id. at 190-92, and for a proposal that someone like V could reinterpret the principle, see Crispin Wright, The Epistemic Conception of Vagueness, 33 S.J. ?HlL.(Surp.) 133 (1994).
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(1994)
The ob%ious stratagem would be to reject the disquotational principle (2).
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This objection to my argument would be consistent with Dworkin's views: He treats the “neither true nor false” formulation as characterizing the thesis that there are gaps in the law (i.e., the thesis that there is often no right answer to a legal dispute): “the theory that says there are gaps in the law is the theory that says there are some, perhaps many, concrete propositions of law which are neither true nor false.” su/>ra note 16, at
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This objection to my argument would be consistent with Dworkin's views: He treats the “neither true nor false” formulation as characterizing the thesis that there are gaps in the law (i.e., the thesis that there is often no right answer to a legal dispute): “the theory that says there are gaps in the law is the theory that says there are some, perhaps many, concrete propositions of law which are neither true nor false.” On Gaps in the Law, su/>ra note 16, at
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On Gaps in the Law
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Id. at 702. On the distinction between concepts and conceptions, see also Dnorkin, 134, and AMP
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Id. at 702. On the distinction between concepts and conceptions, see also Dnorkin, TAKING RIGHTS SERIOUSLY 134 (1977), and AMP 128.
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TAKING RIGHTS SERIOUSLY
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Note that, when he makes the argument that indeterminacy arising from vagueness can be eliminated by a rule of construction, lie expressly puts aside his account of concepts that admit of different conceptions, for the purpose of argument: AMP
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See Af. note 39. Note that, when he makes the argument that indeterminacy arising from vagueness can be eliminated by a rule of construction, lie expressly puts aside his account of concepts that admit of different conceptions, for the purpose of argument: AMP 128.
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See Af. note 39.
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See Af. note 39. note 39, In LAWS EMPIRE (See Af. note 39. note 38) Dworkin seems to maintain the same distinction: He calls vagueness a “semantic defect” (p. 17; see also p. 351), and sees no semantic defect in words for concepts that admit of different conceptions.
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TAKING RiGirrs SERIOUSLY, See Af. note 39. note 39, at 128. In LAWS EMPIRE (See Af. note 39. note 38) Dworkin seems to maintain the same distinction: He calls vagueness a “semantic defect” (p. 17; see also p. 351), and sees no semantic defect in words for concepts that admit of different conceptions.
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So is 23-hour-59-minute solitary confinement. By a standard sorites series we can reach the conclusion that one minute of solitary confinement per day (or none at all) is cruel. Similar sorites series could be constructed for “courteous,” “fair,” and so on.
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Twenty-four-hour solitary confinement is cruel. So is 23-hour-59-minute solitary confinement. By a standard sorites series we can reach the conclusion that one minute of solitary confinement per day (or none at all) is cruel. Similar sorites series could be constructed for “courteous,” “fair,” and so on.
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Twenty-four-hour solitary confinement is cruel.
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See LAWS EMPIRE, Twenty-four-hour solitary confinement is cruel. note 40, at 164.
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See LAWS EMPIRE
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e.g., by specifying a period within which an action will be treated as having occurred “within a reasonable time” for the purposes of an enactment using that phrase.
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That consequence will be avoided, however, if courts replaces vague standard with a precise standard, e.g., by specifying a period within which an action will be treated as having occurred “within a reasonable time” for the purposes of an enactment using that phrase.
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That consequence will be avoided, however, if courts replaces vague standard with a precise standard
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{Are Moral and Ljrgal Values Made or Discoi>ned?, That consequence will be avoided, however, if courts replaces vague standard with a precise standard note 19, at G). That shrewd formulation is consistent with the claim I make, as Putnam can be interpreted as saying not that the statement has no truth value, but that it is indeterminate which truth value the statement has.
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Hilary Putnam says that a vague statement in a borderline case “may have no determinate truth value” {Are Moral and Ljrgal Values Made or Discoi>ned?, That consequence will be avoided, however, if courts replaces vague standard with a precise standard note 19, at G). That shrewd formulation is consistent with the claim I make, as Putnam can be interpreted as saying not that the statement has no truth value, but that it is indeterminate which truth value the statement has.
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Hilary Putnam says that a vague statement in a borderline case “may have no determinate truth value
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Consider two premises: “Any person who is 0.1 mm shorter than a tall person is tall” and “Any person who is 1 cm shorter than a tall person is tall.” We could constnict a version of the sorites paradox with either. If the latter is true, the word “tall” is vaguer (there is more indeterminacy in its application) than if only die first is true. If not even die first is true, then the word “tall” might as well be precise. It seems to be a necessary feature of vague words that there is no precise answer to die question “What is the largest increment with which a sorites series can be constructed?” That means that the extent of the indeterminacy arising from vagueness is necessarily indeterminate.
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The extent of the indeterminacy will be determined by the size of the increments with which a sorites series can be constructed. Consider two premises: “Any person who is 0.1 mm shorter than a tall person is tall” and “Any person who is 1 cm shorter than a tall person is tall.” We could constnict a version of the sorites paradox with either. If the latter is true, the word “tall” is vaguer (there is more indeterminacy in its application) than if only die first is true. If not even die first is true, then the word “tall” might as well be precise. It seems to be a necessary feature of vague words that there is no precise answer to die question “What is the largest increment with which a sorites series can be constructed?” That means that the extent of the indeterminacy arising from vagueness is necessarily indeterminate.
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The extent of the indeterminacy will be determined by the size of the increments with which a sorites series can be constructed.
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On the value of vagueness see Waldron, at 534-10 and I IART Cf. the somewhat more complex problem in II u Monofwlies and Mergers Commission note 18 note 18, at
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On the value of vagueness see Waldron, Cf. the somewhat more complex problem in II u Monofwlies and Mergers Commission note 18 note 4, at 534-10 and I IART Cf. the somewhat more complex problem in II u Monofwlies and Mergers Commission note 18 note 18, at 128ff.
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Cf. the somewhat more complex problem in II u Monofwlies and Mergers Commission note 18 note 4
, pp. 128ff
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52
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85022810241
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STAMP 120.
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STAMP
, pp. 120
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53
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0003529325
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see aho p.269, re the “no gaps” postulate.
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John Finnis, NATURAL LAW AND NATURAL RIGHTS 280 (1980); see aho p.269, re the “no gaps” postulate.
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(1980)
NATURAL LAW AND NATURAL RIGHTS
, pp. 280
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Finnis, J.1
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