Martin Peterson

This paper presents an axiomatization of the principle of maximizing expected utility that does not rely on the independence axiom or sure-thing principle. Perhaps more importantly the new axiomatization is based on an ex ante approach, instead of the standard ex post approach. An ex post approach utilizes the decision maker's preferences among risky acts for generating a utility and a probability function, whereas in the ex ante approach a set of preferences among potential outcomes are on the input side of the theory and the decision maker's preferences among risky acts on the output side

The main result of this paper is a formal argument for the principle of maximizing expected utility that does not rely on the law of large numbers. Unlike the well-known arguments by Savage and von Neumann & Morgenstern, this argument does not presuppose the sure-thing principle or the independence axiom. The principal idea is to use the concept of transformative decision rules for decomposing the principle of maximizing expected utility into a sequence of normatively reasonable subrules. It is shown that this procedure provides a resolution of Allais's paradox that cannot be obtained by Savage-style or von Neumann & Morgenstern-style arguments.

We show that in infinite worlds the following three conditions are incompatible: The spatiotemporal ordering of individuals is morally irrelevant. All else being equal, the act of bringing about a good outcome with a high probability is better than the act of bringing about the same outcome with a low probability. One act is better than another only if there is a nonzero probability that it brings about a better outcome. The impossibility of combining these conditions shows that it is more costly to endorse than has been previously acknowledged.

This article introduces and explores a distinction between multi-dimensional and one-dimensional consequentialist moral theories. One-dimensional consequentialists believe that an act's deontic status depends on just one aspect of the act, such as the sum total of wellbeing it produces, or the sum total of priority- or equality-adjusted wellbeing. Multi-dimensional consequentialists believe that an act's deontic status depends on more than one aspect. They may, for instance, believe that the sum total of wellbeing produced by an act and the degree to which the wellbeing is equally distributed in the population affect the act's deontic status independently of each other. These two aspects cannot be reduced into any single (composite) aspect. Wellbeing and equality are two separate considerations that cannot be merged into some novel entity that accurately reflects both intuitions. On the multi-dimensional view I defend, such clashes between separate aspects are irresolvable and are best accounted for by claiming that moral rightness and wrongness are non-binary concepts. Some acts are, literally speaking, a little bit right (because they maximise wellbeing) and a little bit wrong (because they do not maximise equality).1

Johansson and Rosenqvist reject our argument for the rational permissibility of pure time preferences. Johansson and Rosenqvist's main objection is that where two options, X and Y, have equal intrinsic value, there will be a reason to be indifferent between X and Y, and therefore a reason to not hold a PTP for X or Y. In this reply, we argue that if two options have equal intrinsic value, it does not follow that you have a reason to be indifferent. Rather, the two equally large intrinsic values cancel each other out, like two equal weights on kitchen scales.

In this article, we defend two claims about the precautionary principle. The first is that there is no ‘core’ precautionary principle that unifies all its different versions. It is more plausible to think of the different versions as being related to each other by way of family resemblances. So although precautionary principle x may have much in common with precautionary principle y, and y with z, there is no set of necessary and sufficient conditions that unify all versions of the principle. Our second claim is that it is sometimes appropriate to think of the precautionary principle as a midlevel principle in the sense proposed by Beauchamp and Childress in their Principles of Biomedical Ethics, i.e. as a non-rigid moral principle. We argue that if the precautionary principle is conceived as a non-rigid principle that needs to be balanced against other principles before a moral verdict can be reached, then this enables us to address some standard objections to the principle.

The concept of transformative decision rules provides auseful tool for analyzing what is often referred to as the`framing', or `problem specification', or `editing' phase ofdecision making. In the present study we analyze a fundamentalaspect of transformative decision rules, viz. permutability. A setof transformative decision rules is, roughly put, permutable justin case it does not matter in which order the rules are applied.It is argued that in order to be normatively reasonable, sets oftransformative decision rules have to satisfy a number ofstructural conditions that together imply permutability. Thisformal result gives support to a non-sequential theory of framing,i.e., a theory which prescribes no uniform order in which differentsteps in the framing process have to be performed.

In this article I respond to comments and objections raised in the special issue on my book The Dimensions of Consequentialism. I defend my multi-dimensional consequentialist theory against a range of challenges articulated by Thomas Schmidt, Campbell Brown, Frances Howard-Snyder, Roger Crisp, Vuko Andric and Attila Tanyi, and Jan Gertken. My aim is to show that multi-dimensional consequentialism is, at least, a coherent and intuitively plausible alternative to one-dimensional theories such as utilitarianism, prioritarianism, and mainstream accounts of egalitarianism. I am very grateful to all contributors for reading my book so closely and for devoting time and intellectual energy to thinking about the pros and cons of multi-dimensional consequentialism

A transformative decision rule alters the representation of a decision problem, either by changing the set of alternative acts or the set of states of the world taken into consideration, or by modifying the probability or value assignments. A set of transformative decision rules is order-independent in case the order in which the rules are applied is irrelevant. The main result of this paper is an axiomatic characterization of order-independent transformative decision rules, based on a single axiom. It is shown that the proposed axiomatization resolves a problem observed by Teddy Seidenfeld in a previous axiomatization by Peterson.

Can the theory of conceptual spaces developed by Peter Gärdenfors and others be applied to moral issues? Martin Peterson argues that several moral principles can be construed as regions in a shared similarity space, but Kristin Shrader-Frechette and Gert-Jan Lokhorst question Peterson’s claim. They argue that the moral similarity judgments used to construct the space are underspecified and subjective. In this paper, we present new data indicating that moral principles can indeed be construed as regions in a multidimensional conceptual space on the basis of moral similarity judgments. Four hundred and seventy-five students taking a course in engineering ethics completed a survey in which they were presented with ten cases featuring ethical issues related to technology and engineering. Participants were asked to judge the moral similarity of each pair of cases and to select which moral principle they believed should be applied for resolving the case. We used interval multidimensional scaling as well as individual differences scaling for analyzing the moral similarity judgments. Despite noteworthy individual variations in the judgments, the five moral principles included in the study were discernable in the aggregate multidimensional spaces, even for participants with no previous exposure to the principles. Participants tended to apply the same moral principles to cases rated as morally similar. Our overall conclusion is that moral similarity judgments, and their representation in multidimensional spaces, can help us identify moral principles that are relevant for assessing difficult moral choice situations.

Pragmatic arguments seek to demonstrate that you can be placed in a situation in which you will face a sure and foreseeable loss if you do not behave in accordance with some principle P. In this article I show that for every P entailed by the principle of maximizing expected utility you will not be better off from a pragmatic point of view if you accept P than if you don’t, because even if you obey the axioms of expected utility theory it is possible to place you in a situation in which you will face a certain and foreseeable loss. This shows that for a large class of Ps, there is no pragmatic difference between people who accept P and those who don’t.

It is commonly assumed that preferences are determinate; that is, that an agent who has a preference knows that she has the preference in question and is disposed to act upon it. This paper argues the dubiousness of that assumption. An account of indeterminate preferences in terms of self-predicting subjective probabilities is given, and a decision rule for choices involving indeterminate preferences is proposed. Wolfgang Spohn’s and Isaac Levi ’s arguments against self-predicting probabilities are also considered, in light of Wlodek Rabinowicz’s recent criticism

PurposeThe purpose of this paper is to argue that playing computer games for lengthy periods of time, even in a manner that will force the player to forgo certain other activities normally seen as more important, can be an integral part of human flourishing.Design/methodology/approachThe authors' claim is based on a modern reading of Aristotle's Nichomacean Ethics. It should be emphasized that the authors do not argue that computer gaming and other similar online activities are central to all people under all circumstances; but only seek to show that the claim holds true for some people under some circumstances and the authors try to spell out the relevant circumstances in detail.FindingsThe authors provide a list of situations in which playing computer games for lengthy periods of time, in a manner that will force the player to forgo certain other activities normally seen as more important, is an integral part of human flourishing.Originality/valueThe paper puts some novel pressure on the widely‐held belief that playing computer games for lengthy periods of time, in a manner that will force the player to forgo certain other activities normally seen as more important. The paper claims that playing some computer games and partaking in some forms of online activities could be highly conducive to what it actually means in practice to take care of oneself and, to paraphrase Aristotle, to be eager for fine actions.

The contention of this paper is that the current ethical debate over embryonic stem cell research is polarised to an extent that is not warranted by the underlying ethical conflict. It is argued that the ethical debate can be rendered more nuanced, and less polarised, by introducing non-binary notions of moral rightness and wrongness. According to the view proposed, embryonic stem cell research—and possibly other controversial activities too—can be considered ‘a little bit right and a little bit wrong’. If this idea were to become widely accepted, the ethical debate would, for conceptual reasons, become less polarised

This article questions the traditional view that moral rightness and wrongness are discrete predicates with sharp boundaries. I contend that moral rightness and wrongness come in degrees: Some acts are somewhat rightandsomewhat wrong. My argument is based on the assumption that meaning tracks use. If an overwhelming majority of competent language users frequently say that some acts are a bit right and a bit wrong, this indicates that rightness and wrongnessaregradable concepts. To support the empirical part of the argument I use the tools of experimental philosophy. Results from three surveys (n= 715, 578, and 182) indicate that respondents userightandwrongas gradable terms to approximately the same extent as color terms, meaning that rightness and wrongness come in degrees roughly as much as colors do. In the largest study, only 4 percent persistently usedrightandwrongas non-gradable terms.