A platitude that took hold with Kuhn is that there can be several equally good ways of balancing theoretical virtues for theory choice. Okasha recently modelled theory choice using technical apparatus from the domain of social choice: famously, Arrow showed that no method of social choice can jointly satisfy four desiderata, and each of the desiderata in social choice has an analogue in theory choice. Okasha suggested that one can avoid the Arrow analogue for theory choice by employing a strategy (...) used by Sen in social choice, namely, to enhance the information made available to the choice algorithms. I argue here that, despite Okasha’s claims to the contrary, the information-enhancing strategy is not compelling in the domain of theory choice. (shrink)

Kuhn’s famous thesis that there is ‘no unique algorithm’ for choosing between rival scientific theories is analysed using the machinery of social choice theory. It is shown that the problem of theory choice as posed by Kuhn is formally identical to a standard social choice problem. This suggests that analogues of well-known results from the social choice literature, such as Arrow’s impossibility theorem, may apply to theory choice. If an analogue of Arrow’s theorem does hold for theory choice this would (...) refute Kuhn’s thesis, but it would also pose a threat to the rationality of science, a threat that is if anything more worrying than that posed by Kuhn. Various possible ‘escape routes’ from Arrow’s impossibility result are examined, in particular Amartya Sen’s idea of ‘enriching the informational basis’. It is shown that Sen’s idea can be applied to the problem of theory choice in science. This in turn sheds light on two well-known approaches to inductive inference in philosophy of science: Bayesianism and statistical model selection. (shrink)

An analogue of Arrow’s theorem has been thought to limit the possibilities for multi-criterial theory choice. Here, an example drawn from Toy Science, a model of theories and choice criteria, suggests that it does not. Arrow’s assumption that domains are unrestricted is inappropriate in connection with theory choice in Toy Science. There are, however, variants of Arrow’s theorem that do not require an unrestricted domain. They require instead that domains are, in a technical sense, ‘rich’. Since there are rich domains (...) in Toy Science, such theorems do constrain theory choice to some extent—certainly in the model and perhaps also in real science. (shrink)

Few philosophers of science have influenced as many readers as Thomas S. Kuhn. Yet no comprehensive study of his ideas has existed--until now. In this volume, Paul Hoyningen-Huene examines Kuhn's work over four decades, from the days before The Structure of Scientific Revolutions to the present, and puts Kuhn's philosophical development in a historical framework. Scholars from disciplines as diverse as political science and art history have offered widely differing interpretations of Kuhn's ideas, appropriating his notions of paradigm shifts and (...) revolutions to fit their own theories, however imperfectly. Hoyningen-Huene does not merely offer another interpretation--he brings Kuhn's work into focus with rigorous philosophical analysis. Through extended discussions with Kuhn and an encyclopedic reading of his work, Hoyningen-Huene looks at the problems and justifications of his claims and determines how his theories might be expanded. Most significantly, he discovers that The Structure of Scientific Revolutions can be understood only with reference to the historiographic foundation of Kuhn's philosophy. Discussing the concepts of paradigms, paradigm shifts, normal science, and scientific revolutions, Hoyningen-Huene traces their evolution to Kuhn's experience as a historian of contemporary science. From here, Hoyningen-Huene examines Kuhn's well-known thesis that scientists on opposite sides of a revolutionary divide "work in different worlds," explaining Kuhn's notion of a world-change during a scientific revolution. He even considers Kuhn's most controversial claims--his attack on the distinction between the contexts of discovery and justification and his notion of incommensurability--addressing both criticisms and defenses of these ideas. Destined to become the authoritative philosophical study of Kuhn's work, Reconstructing Scientific Revolutions both enriches our understanding of Kuhn and provides powerful interpretive tools for bridging Continental and Anglo-American philosophical traditions. (shrink)

This introductory text explores the theory of social choice. Written as a primer suitable for advanced undergraduates and graduates, this text will act as an important starting point for students grappling with the complexities of social choice theory. Rigorous yet accessible, this primer avoids the use of technical language and provides an up-to-date discussion of this rapidly developing field. This is the first in a series of texts published in association with the LSE.

In a recent paper (Okasha, Mind 120:83–115, 2011), Samir Okasha uses Arrow’s theorem to raise a challenge for the rationality of theory choice. He argues that, as soon as one accepts the plausibility of the assumptions leading to Arrow’s theorem, one is compelled to conclude that there are no adequate theory choice algorithms. Okasha offers a partial way out of this predicament by diagnosing the source of Arrow’s theorem and using his diagnosis to deploy an approach that circumvents it. In (...) this paper I explain why, although Okasha is right to emphasise that Arrow’s result is the effect of an informational problem, he is not right to locate this problem at the level of the informational input of a theory choice rule. Once the informational problem is correctly located, Arrow’s theorem may be dismissed as a problem. (shrink)

The aim of this volume is to examine this claim, and to place it in the wider context of recent epistemological debates about the role of sociality in knowledge acquisition.

This paper studies a ranking rule of the following type axiomatically: each voter places k candidates into n categories with ranks from n to 1 attached to these categories, the candidate(s) with the highest aggregate score is (are) the winner(s). We show that it is characterized by a monotonicity condition and a multi-stage cancellation property.