Dramatic changes or revolutions in a field of science are often made by outsiders or 'trespassers,' who are not limited by the established, 'expert' approaches. Each essay in this diverse collection shows the fruits of intellectual trespassing and poaching among fields such as economics, Kantian ethics, Platonic philosophy, category theory, double-entry accounting, arbitrage, algebraic logic, series-parallel duality, and financial arithmetic.

May's theorem famously shows that, in social decisions between two options, simple majority rule uniquely satisfies four appealing conditions. Although this result is often cited in support of majority rule, it has never been extended beyond decisions based on pairwise comparisons of options. We generalize May's theorem to many-option decisions where voters each cast one vote. Surprisingly, plurality rule uniquely satisfies May's conditions. This suggests a conditional defense of plurality rule: If a society's balloting procedure collects only a single vote (...) from each voter, then plurality rule is the uniquely compelling electoral procedure. To illustrate the conditional nature of this claim, we also identify a richer informational environment in which approval voting, not plurality rule, is supported by a May-style argument. (shrink)

This paper generalises the classical Condorcet jury theorem from majority voting over two options to plurality voting over multiple options. The paper further discusses the debate between epistemic and procedural democracy and situates its formal results in that debate. The paper finally compares a number of different social choice procedures for many-option choices in terms of their epistemic merits. An appendix explores the implications of some of the present mathematical results for the question of how probable majority cycles (as in (...) Condorcet's paradox) are in large electorates. (shrink)

This paper provides a philosophical critique of social choice theory insofar as it deals with the normative evaluation of voting and voting rules. I will argue that the very method of evaluating voting rules in terms of whether they satisfy various conditions is deeply problematic because introducing strategic behaviour leads to a violation of any condition that makes a difference between voting rules. I also argue that it is legitimate to make interpersonal comparisons of utilities in voting theory. Combining a (...) realistic account of voters’ behaviour with a utilitarian evaluation of the outcomes then leads to the judgment that strategic voting is beneficial. If it is, then Arrow's theorem does not have far-reaching consequences for democracy because one of its conditions is not normatively acceptable. (shrink)

Simon May has argued that the notion of a principled compromise is incoherent. Reasons to compromise are always in his view strategic: though we think that the position we defend is still the right one, we compromise on this view in order to avoid the undesirable consequences that might flow from not compromising. I argue against May that there are indeed often principled reasons to compromise, and that these reasons are in fact multiple. First, compromises evince respect for persons that (...) we have reason to think of as our epistemic peers, and acknowledgement of our own finitudes as moral reasoners. Second, compromises are often made morally necessary by the shortfalls that unavoidably separate democratic institutions from democratic ideals. Third, compromises express a desirable form of democratic community. And fourth, compromises are often justified from a consequentialist point of view, in that they allow for the realization of values that would not be realized as well by the failure to compromise. (shrink)

Using the definition of “education as a practice”, the only coherent interpretation of Heslep's central thesis of “Education's moral role” was found to need the notion of a “social institution” of Education. This in turn made sense only by positing a notion such as a Political Proficiency Certificate, with its concomitant drastic government intervention. Heslep himself did not suggest this, presumably because he saw the tension that would appear between such an institution and the voluntary actions of citizens. This tension (...) was then shown to exist even in his notion of the “public interest”, which brought into question his argument of why Education needs to be standardized. This was reinforced by the realisation that, if the “public interest” required votes to be aggregated into a social choice, then it is unlikely to be realised by any current voting system. This suggested it was an unsuitable foundation on which to rest either a theory of democracy or a justification for the need for standardized Education. With that justification brought into question, the need for a “social institution” of Education disappears; without that, as we have said, Heslep's central thesis is without a coherent interpretation. (shrink)

In this companion piece to 'On the Philosophy of Group Decision Methods I: The Non-Obviousness of Majority Rule', we take a closer look at some competitors of majority rule. This exploration supplements the conclusions of the other piece, as well as offers a further-reaching introduction to some of the challenges that this field currently poses to philosophers.

Social choice and welfare economics are subjects at the frontier of many disciplines. Even if economics played the major role in their development, sociology, psychology and, principally, political science, mathematics and philosophy have been central for the manifold inventiveness of the employed methods and for the diversity of the studied topics. This phenomenon can be compared with game theory, a subject which has, of course, many connections with social choice and welfare. This fact is reflected by the disciplinary origins of (...) the contributors to the subject and, as an anecdote, by the disciplinary origins of the board of editors of this journal. Philosophers are expected to contribute mainly to the study of social justice and related ethical questions. But there is a tradition among logicians for studying voting theory. A famous example is C. L. Dodgson (Lewis Carroll), even though the complete works of Dodgson on voting occupy only a few pages. A major recent example is Michael Dummett. Michael Dummett is famous among social choice theorists for his joint paper with Robin Farquharson published in Econometrica in 1961. Later he wrote two important books on voting (Dummett (1984, 1997); for an overview see Salles (2006)). But it must be outlined that Michael Dummett is also, and above all, one of the greatest contemporary philosophers whose work on the German logician Frege, on intuitionism, realism, anti-realism, justificationism has been central for the development of analytical philosophy in the second part of the last century and in this century (an example is the Symposium in a recent issue of Mind (see Peacocke (2005) and Dummett (2005)). Sir Michael Dummett is Wykeham Professor of Logic emeritus at Oxford University. His interview was conducted at New College, Oxford in September 2004. (shrink)