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Legislating the Transcendental: Von Hirsch's Proportionality

Published online by Cambridge University Press:  16 January 2009

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Extract

In 1897 the Indiana House of Representatives was persuaded by a mathematician (of sorts) to entertain a bill “introducing a new mathematical truth”. The new truth was a method, or more precisely methods, for computing the value of π. Since π is a transcendental number the methods could at best have achieved an approximation. In fact they yielded several inaccurate values, one as wild as 4. The legislators were doubtful enough to refer the bill to a committee (the Committee on Canals) and, when this reported favourably, to the Committee on Temperance. Eventually they had the sense to defer it sine die.

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Copyright © Cambridge Law Journal and Contributors 1992

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References

1 See Singmaster, David, “The Legal Values of Pi” in Mathematical Intelligencer, 1985, 7, 2, pp. 69ff.CrossRefGoogle Scholar

2 The convenient term used by Saunders, Trevor in Plato's Penal Code (Oxford, 1991).Google Scholar

3 See his Philosophie des Rechts, tr. Knox, T.M. as Philosophy of Right (Oxford 1942), p. 37.Google Scholar

4 In The English Sentencing System (London, 1971 ed.), p. 120.Google Scholar

5 See for example his Past or Future Crimes (Manchester 1986),Google Scholar ch. 5.

6 Loc. cit. note 5.

7 In The Ethics of Punishment (London 1968), ch. 8.Google Scholar

8 See Public Attitudes to Sentencing (edd. Walker, N. and Hough, M., Aldershot 1988),Google Scholar ch. 3. Julian Roberts found the same in Canada (personal communication).

9 In For Capital Punishment (New York 1979).Google Scholar

10 In his essay in Jurisprudence: Cambridge Essays (edd. Gross, H. and Harrison, R., Oxford 1992).Google Scholar

11 In Philosophical Explanations (Oxford 1981), pp. 374380.Google Scholar

12 See his Past or Future Crimes (Manchester 1986),Google Scholar ch. 5, and, as regards Nozick, p. 59n.

13 It is interesting that this explanation is offered not in Past or Future Crimes (op. cit.)Google Scholar but in a much later article, Proportionality in the Philosophy of Punishment: from ‘Why Punish?’ to ‘How Much?’”, in Criminal Law Forum, 1990, 1, 2, pp. 259290.CrossRefGoogle Scholar It seems to have been suggested by Duff's, R.A.Trials and Punishments (Cambridge 1986).Google Scholar

14 Although in a later article (Gauging Criminal Harm: a Living-Standard Analysis” (1991) 11 Oxford Journal of Legal Studies, pp. 138CrossRefGoogle Scholar) he and Nils Jareborg appear to propose elaborate sub-divisions, it is not clear that they are meant to figure in proportionality scales.

15 In The Principles of Morals and of Legislation (London 1789),Google Scholar ch. VI. Bentham's point was of course utilitarian: the sentence should be no more severe than is necessary to deter the offender in question. Yet it should have received more attention than it has from retributivists and expressivists.

16 The concept used in von Hirsch's latest article, Gauging Criminal Harm: a Living-Standard Analysis” (jointly with Nils Jareborg) in (1991) 11 Oxford Journal of Legal Studies, pp. 138.CrossRefGoogle Scholar

17 In his 1990 article (op. cit. note 13 supra), p. 287.Google Scholar

18 He need not forego moral condemnation, or even his impulses to communicate it: only the assumption that the penal code should be used for the purpose.

19 See Rawls, J., A Theory of Justice (Oxford 1973).Google Scholar In Why Punish? (Oxford 1991)Google Scholar I used Rawls' test to demonstrate that the rule against punishing the innocent could be justified without invoking “desert”. It was Professor Bottoms who suggested to me that the same test might be used to decide whether utilitarian or retributive proportionality is to be preferred: but he is not responsible for the way in which I have pursued his suggestion.

20 Not which is “fair” or “just”: simply “preferable”.

21 This is not inconsistent with the stipulation that Rawlsian man's chances of being incarnated as law-abiding or law-breaking are the same in both jurisdictions, since the effect of Benthambria's penal code might merely be to reduce the productivity, rather than the numbers, of law-breakers.

22 See Past or Future Crimes (Manchester 1986),Google Scholar Part V.

23 Loc. cit. note 4 supra.