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Four Alleged Paradoxes in Legal Reasoning

Published online by Cambridge University Press:  16 January 2009

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Extract

There can be no doubt that the existence of paradoxes has stimulated vigorous and highly productive activity in philosophy and in logic. Take two famous examples: The Liar Paradox, which arises from a sentence such as

L This statement is false.

and the Russell Paradox which arises from the sentence

R The class of all classes which are not members of themselves

is a member of itself.

The first of these has been a source of anguish for over 2,000 years. The second has engaged the serious attention of logicians for over three quarters of a century. Investigation of paradoxes of this sort has spawned whole new fields of study, such as technical semantics and axiomatic set theory.

It has been claimed that legal reasoning is infected with paradoxes and that these paradoxes are similar in structure to those, like the two we have cited, which are of interest to the logician. If this claim were true one of two consequences would follow. Either the jurisprudent would face what would in all likelihood be a protracted struggle with these legal paradoxes resulting, perhaps, in significant additions to legal theory, or else, if these paradoxes were sufficiently similar to those of the logician, he might try to utilise the logician's results to solve his own legal puzzles.

The first alternative, though attractive to a theoretician, may appear rather dismal to those engaged in the business of law. Whereas reflection on the logical paradoxes can lead to only more refined abstractions—the philosopher's meat and drink—legal theory is rather intimately connected with practical affairs.

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Copyright © Cambridge Law Journal and Contributors 1979

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References

1 (1969) 78 Mind I.

2 For a good introduction to the subject of paradoxes, see Quine, W. V., “The Ways of Paradox” in his The Ways of Paradox and Other Essays (Harvard 1966).Google Scholar

3 Ross, op. cit., p. 16.

4 In his discussion note “Professor A. Ross and Some Legal Puzzles” (1972)Google ScholarMind 415, J. Raz seeks to show that Art. 88 and any other basic norm can be formulated in such a way that self-reference is avoided.

5 Ross, op. cit., pp. 11–12. In certain cases of spurious self-reference a sentence may refer to itself qua sound-sequence; in other cases qua grammatical construction. The original source for such distinctions (though Ross omits to mention this) is Austin, J. L., How to do Things with Words (Oxford 1962).Google Scholar

6 Ross, op. cit., p. 5.

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8 (1971) 29 Cambridge Law Journal 275.

9 Hicks, op. cit., p. 277.

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11 See Private International Law Committee, First Report (1954) Cmd. 9068, para. 23.

12 Hicks, op. cit., p. 278.

13 [1926] Ch. 692, 708–709.

14 [1930] 1 Ch. 377, 402.

15 These points were first made by Aristotle. See Metaphysics, 1011b25 and Categories, 14b20.

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17 Morris, op. cit., p. 481.

18 See Russell, B. and Whitehead, A. N., Principia Mathematica (Cambridge 1913)Google Scholar, Chap. 2 of the Introduction.

19 Hicks, op. cit., p. 280. Ross, op. cit., p. 11.

20 Hicks, op. cit., pp. 283, 286.

21 Hicks, op. cit., p. 281.

22 Hicks, op. cit., p. 289.

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24 [1898] A.C. 375, hereafter sometimes referred to simply as London Street Tramways.

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34 Compare Kuhn's, T. S. notion of a scientific paradigm in his The Structure of Scientific Revolutions (Chicago 1962).Google Scholar

35 I should like to thank Dr. Peter Wesley-Smith and Dr. Roda Mushkat for their helpful comments on drafts of this paper.