The Journal of Value Inquiry 27:111-112, 1993. © 1993 Kluwer Academic Publishers. Printed in the Netherlands. Forum Reply to Fulda on animal rights MICHAEL LEVIN Department of Philosophy, City College and the Graduate Center, City University of New York, New York, NY 10031, USA Joseph Fulda has proposed a somewhat recherchd reply to my criticism of the doctrine of "animal rights. ''I It is always permissible to kill any number of animals rather than let a human being die, not because animals lack rights, says Fulda, but because the rights of animals are denumerably infinite in size while human rights are non-denumerable. (Fulda mistakenly asserts that R I is the number of sets of integers; this assertion is the famous Continuum Hypothesis, which is neither provable nor refutable within standard set theory.) Since any non-denumable exceeds any finite number of denumerables, animal rights may be supposed to exist but are infinitesmal compared to human rights. I am not sure that Fulda's "non-standard-moder' differs much from the common-sense view I endorsed, for reasons that a few preliminary points make clear. First, Fulda's terrorist example does not compel a non-additive view of rights, since, as is a commonplace in the literature, handing over a hostage to a terrorist is doing something wrong, whereas refusing to hand over the hostage is allowing a wrong to happen. Perhaps the governing intuition is not that killing one person is as bad as killing a thousand, but that, standing finn, you have killed nobody while all the moral blood is on the terrorist's hands. Maimonides notwithstanding, most people would chose actively taking one life over actively taking ten million, implicitly treating the value of lives as additive. Fulda's second motive for his model, the supremacy of animal rights over property rights, is also not compelling. If millions of termites are destroying my house, am I not allowed, morally, to kill them? If a wolf is decimating a flock of sheep and mining a rancher's livelihood, isn't the rancher allowed to kill it? If a limit exists to the destruction the rancher must endure, animal rights in Fulda's scheme become finite numbers considerably smaller than most property rights. Third, Fulda's model solves the central man 2 - vs. - animal problem only if the universe is sufficiently small. Suppose you are the quartermaster 112 of a universe in which denumerably many human beings, each of value R 1, are competing with R 2 hungry crocodiles for subsistence. If the choice is between all the people and all the crocodiles, the rights of the crocodiles, or their value as sentient beings, outweighs those of the human beings, so you had better feed the crocodiles. I don't know whether there could actually be R 2 of anything, but the best way for Fulda to accommodate this possibility - and this may best express his basic intuition - is to say that human rights are inaccessible while animal rights are smaller, where a nondenumerable cardinal n is inaccessible just in case, if m < n, so is 2 m. As set theorists might say, human rights are "too big to reach from below." (Recent work by the mathematician John Conway has begun to fill the chasm between the finite and the infinite. 3) If animal rights are incomparably smaller than human rights and feeble compared to most property rights, the difference between having rights this weak and having no rights at all becomes hard to see. Suppose I claim that other people have rights to your organs. However, these fights are so weak that your right to your organs overrides those of the whole rest of the world, and if anybody else attempts to act on his right - by, say, cutting your heart out for a medical experiment - he will deserve punishment. Surely that right is no right at all. I remain convinced, therefore, that the problem of n crocodiles vs. one man is the central objection to animal rights. Proponents of animal rights agree. Peter Singer writes: "What, for instance, are we to do about genuine conflicts of interest like rats biting slum children? I am not sure of the answer. TM Perhaps, if pressed, Singer would also see a problem about rats biting children who don't live in slums. Notes 1. Joseph S. Fulda, "Reply to an Objection to Animal Rights," The Journal of Value Inquiry 26.1 (January 1992): 87-88. 2. While the stated policy of this Joumal is to reserve gendered words, such as "man" and "he," for gendered reference, rather than, as in the previous convention, for possible reference to human beings generally, I have insisted on the latter convention because I do not want to give into this change of convention, which I see as politically dictated by the feminist movement. I use "man" and its cognates inclusively. 3. See D. E. Knuth, Surreal Numbers (London: Addison-Wesley, 1974), pp. 99-111. 4. Cited in Louis Pojman, "Animal Rights and Egalitarianism," unpublished.
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