How are we to understand Cato the Younger? To be sure, this question implies that there is something important we can learn by studying the life of Cato the Younger, that we can garner fundamental political insights by understanding his actions and thoughts. Although this essay will be a modest attempt to articulate some of these insights by presenting a paradigm with which Cato's life can be understood, the very fact that Cato commands the (...) attention of a diverse number of diplomats, philosophers and poets should make us as political scientists and historians at least somewhat interested in his life as a whole. (shrink)

How are we to understand Cato the Younger? To be sure, this question implies that there is something important we can learn by studying the life of Cato the Younger, that we can garner fundamental political insights by understanding his actions and thoughts. Although this essay will be a modest attempt to articulate some of these insights by presenting a paradigm with which Cato's life can be understood, the very fact that Cato commands the (...) attention of a diverse number of diplomats, philosophers and poets should make us as political scientists and historians at least somewhat interested in his life as a whole. (shrink)

Tacitus is an unlikely source for our study of Brutus, Cassius, and Cato, as they stand outside the chronological framework of Tacitus’ writings; nonetheless, they do appear a number of times throughout his works, and Tacitus portrays them with nuance and significance. As Brutus, Cassius, and Cato are rarely the precise focus for Tacitus, they are often referred to obliquely or in dialogue or speeches typically regarding treason and liberty. This paper will explore Tacitus’ depiction of Brutus, Cassius, (...) and Cato in his major and minor works, including the oblique references to Cato, Brutus as an orator and writer, Brutus and Cassius as commanders in civil war, and lastly their memory as it pertains to liberty and treason. Tacitus’ contribution to our understanding of Brutus, Cassius, and Cato comes from both his own use of them as markers of political memory and liberty and his examination of how others used Brutus, Cassius, and Cato to make arguments for political liberty or for the basis of accusations of treason. (shrink)

'Gaius Pliny sends greetings to his friend Septicius Clarus...' In these letters to his friends and relations, Pliny provides a fascinating insight into Roman life in the period 97 to 112 AD. Part autobiography, part social history, they document the career and interests of a senator and leading imperial official whose friends include the historians Tacitus and Suetonius. Pliny's letters cover a wide range of topics, from the contemporary political scene to domestic affairs, the educational system, the rituals and conduct (...) of Roman religion, the treatment of slaves, and the phenomena of nature. He describes in vivid detail the eruption of Vesuvius which killed his uncle, and the daily routines of a well-to-do Roman in the courts, and at leisure, enjoying rural pursuits at his country estates. In the introduction to his lively and sympathetic new translation, P.G. Walsh examines the background to these often intimate and enthralling letters. ABOUT THE SERIES: For over 100 years Oxford World's Classics has made available the widest range of literature from around the globe. Each affordable volume reflects Oxford's commitment to scholarship, providing the most accurate text plus a wealth of other valuable features, including expert introductions by leading authorities, helpful notes to clarify the text, up-to-date bibliographies for further study, and much more. (shrink)

Standard definitions of validity are designed to preserve truth from the premises to the conclusion. However, it seems possible to construct arguments that contain sentences in the imperative mood. Such sentences are incapable of being true or false, so the standard definitions cannot capture the validity of these imperative arguments. Bernard Williams offers an argument that imperative inference is impossible: two imperatives will always have different permissive presuppositions, so a speaker will have to change his mind before uttering a second (...) imperative, and so imperatives cannot ever be accumulated into a set of premises. I offer four objections to Williams’ argument: (1) Permissive presuppositions are analogous to conversational implicature, and so should be ignored when formulating imperative arguments. (2) There are other valid argument forms, which Williams does not consider, that do not suffer from different permissive presuppositions. (3) There are explanations for the change in permissive presuppositions in Williams’ example other than a change of mind, so the different permissive presuppositions do not have to prevent accumulation. Finally, (4) Williams accepts enough logical relations between imperatives (contradiction and a form of negation) for a definition of a valid imperative inference to follow naturally. (shrink)

We examine the range of anonymity that is compatible with a Paretian social welfare relation (SWR) on infinite utility streams. Three alternative coherence properties of an SWR are considered, namely, acyclicity, quasi-transitivity, and Suzumura consistency. For each case, we show that a necessary and sufficient condition for a set of permutations to be the set of permissible permutations of some Paretian SWR is given by the cyclicity of permutations and a weakening of group structure. Further, for each case of coherence (...) property, we show that the extended Pareto rule is the least element of the class of anonymous Paretian SWRs. (shrink)

The intersection approach is a common method of overcoming a conflict among multiple values. Under this approach, a state is more desirable than another if it is so for all criteria in question. A fundamental difficulty is that judgment under the intersection approach lacks completeness in too many cases. We propose alternative methods that extend the intersection approach: the union and union-intersection approaches. Our methods generate a (quasi-)coherence judgment which is more completed and can be applied to most problems of (...) ethical indices. (shrink)

Bioethics, Volume 36, Issue 4, Page 445-452, May 2022.

The interrelated logical concepts of validity, entailment, and consequence are all standardly defined in terms of truth preservation. However, imperative sentences can stand in these relations, but they are not truth-apt. This puzzle can be understood as an inconsistent triad: T1 Imperatives can be the relata of the consequence relation. T2 Imperatives are not truth-apt. T3 The relata of the consequence relation must be truth-apt. These three claims cannot all be true. So, to solve the problem of imperative consequence we (...) must reject one of the three claims. Solutions can be categorised into three types: those that reject T1, those that reject T2, and those that reject T3. In this thesis, I first outline and motivate each of these three claims. I then consider, in turn, theories of imperative logic and semantics, all of which fall into one of the three types of solution. I consider and reject two versions of solution type 1, the type that rejects T1. These versions argue that it is impossible for imperatives to stand in logical relations, and attempt to provide alternative explanations for what's happening when it seems like they are doing so. I then consider and reject several versions of solution type 2, the type that rejects T2. These theories claim that, despite appearances based on surface grammar, imperatives are disguised declaratives and thus truth-apt. Each theory proposes a translation schema-- it outlines the truth-conditions for imperatives. Next, I outline several versions of solution type 3, the type that rejects T3. These theories aim to develop a formal account of imperative logic. I reject each of these theories in turn, and finally propose a solution that avoids the problems I raise with the other theories. (shrink)

Hilary Putnam's Model-Theoretic argument attempts to dispose of the view that science provides us with a literally true description of the world. It uses the Löwenheim-Skolem Theorem to show that all consistent scientific theories are true of the real world, even if they contradict each other. This is incompatible with the realist conception of truth, which allows only for one version of reality. So, Putnam rejected this conception of truth in favour of his own 'internal realism,' which claims that theories (...) can only be true or false within themselves; within their own framework. However, I demonstrate that the Model-Theoretic argument is unsound. It relies on a false premise – that every consistent theory is true of the real world. Putnam uses a clever manipulation of model theory to attempt to convince us of the truth of this premise, but I show that he commits a fundamental error in his method. (shrink)

This paper discusses how Wittgenstein’s thinking informs recent conversations about art and aesthetic practice by examining his influence on the work of the noted modernist art critic, Michael Fried. Fried considers an excerpt from Wittgenstein’s Culture and Value, with a puzzling thought experiment, to help us see more clearly the Canadian artist Jeff Wall’s photographic vision and aesthetic. I consider Fried’s account of the photographic practice of Jeff Wall, especially his photograph Morning Cleaning, Mies van der Rohe Foundation (1999).

This essay discusses Wittgenstein’s suggestion that we may speak of a distinction between a word’s primary and secondary senses. Instead of seeing the distinction merely as an example of a puzzling language use, many commentators have attempted to work out the distinction in terms of a supplement to a general theory of sense that they presume Wittgenstein developed in his later writings. I don’t think it is fair to ascribe such systematic aspirations to Wittgenstein.Indeed, Wittgenstein speaks explicitly of the distinction (...) only at two junctures in his work; this suggests that the distinction in itself was not of great import to Wittgenstein. In my view, it is essential to see how the example resonates with other ideas and problems in his writings, for example, his discussions of rule-following in part one of the Investigations. By my lights, this has not been fully recognized in the standard literature. In discussing the distinction, I will argue for the importance of paying attention to a broader context than what is normally considered. (shrink)

This essay discusses Wittgenstein’s suggestion that we may speak of a distinction between a word’s primary and secondary senses. Instead of seeing the distinction merely as an example of a puzzling language use, many commentators have attempted to work out the distinction in terms of a supplement to a general theory of sense that they presume Wittgenstein developed in his later writings. I don’t think it is fair to ascribe such systematic aspirations to Wittgenstein.Indeed, Wittgenstein speaks explicitly of the distinction (...) only at two junctures in his work; this suggests that the distinction in itself was not of great import to Wittgenstein. In my view, it is essential to see how the example resonates with other ideas and problems in his writings, for example, his discussions of rule-following in part one of the Investigations. By my lights, this has not been fully recognized in the standard literature. In discussing the distinction, I will argue for the importance of paying attention to a broader context than what is normally considered. (shrink)

This paper establishes a new impossibility result for welfaristic evaluations when the population varies. We consider a weak version of the repugnant conclusion instead of the commonly used version. It is shown that if a population principle satisfying two reasonable properties avoids the sadistic conclusion, then the weak repugnant conclusion must hold. We use a general variable-population setting where the identities of individuals can matter.

This article provides a systematic analysis of social choice theory without the Pareto principle, by revisiting the method of Murakami Yasusuke. This article consists of two parts. The first part investigates the relationship between rationality of social preference and the axioms that make a collective choice rule either Paretian or anti-Paretian. In the second part, the results in the first part are applied to obtain impossibility results under various rationality requirements of social preference, such as S-consistency, quasi-transitivity, semi-transitivity, the interval-order (...) property, and acyclicity. (shrink)

Population axiology includes two major arguments. The first is the repugnant conclusion, which was originally formulated by Derek Parfit to criticize total utilitarianism. The second is the sadistic conclusion. In this study, I demonstrate that no additively separable principle can avoid both repugnant and sadistic conclusions if individual moral values have no upper bound. This impossibility holds not only for utilitarian principles but also for any population principles that guarantee the separability of people’s well-being. I emphasize the importance of examining (...) non-separable principles in population ethics. (shrink)

This paper is concerned with a problem of an equitable allocation. We consider the concept of ψ‐equity, which is a general concept of equity. We provide a series of examples of equity concepts that are captured by ψ‐equity. We show the existence of an efficient and ψ‐equitable allocation by employing Kakutani's fixed‐point theorem.

The aim of the present paper is to provide an axiomatic analysis of incomplete social judgments. In particular, we clarify the underlying power structure of Arrovian collective choice rules when social preferences are allowed to be incomplete. We propose the concept of quasi-decisiveness and investigate the properties of the collection of quasi-decisive sets associated with an Arrovian collective choice rule. In the course of this, we offer a series of applications.

This paper examines the concept of ‘tsunami-tendenko,’ a guideline suggesting that individuals prioritise their own safety over aiding others during large-scale disasters. Kodama defends tsunami-tendenko against accusations of egoism by arguing that the principle can be justified ethically on consequentialist (or more precisely, utilitarian) grounds. Kodama asserts that attempting to assist others during such disasters heightens the risk of ‘tomo-daore,’ where both the rescuer and the victim may perish. He claims that having people focus solely on saving themselves can maximise (...) the overall number of lives saved. However, we challenge Kodama’s assertion that utilitarianism inherently favours tsunami-tendenko over mutual assistance during disasters. Instead, this paper proposes an alternative ethical foundation for tsunami-tendenko grounded in the ‘antiextinction principle,’ which prioritises minimising the potential for catastrophic outcomes. When considering the ethics of responding to disaster, it is important to distinguish between maximising the number of lives saved (utilitarianism) and minimising the risk of tomo-daore (antiextinction principle). This distinction may be overlooked if the distribution of probabilities is not considered. We conclude that the antiextinction principle aligns more naturally with tsunami-tendenko, emphasising the avoidance of catastrophic outcomes—a concern not always addressed by utilitarianism. Therefore, tsunami-tendenko should be regarded as a societal guideline aimed at preserving community sustainability by averting total destruction. (shrink)

This paper aims to consider the meaning of the dismal theorem, as presented by Martin Weitzman [(2009) On modeling and interpreting the economics of catastrophic climate change. Review of Economics and Statistics 91, 1–19]. The theorem states that a standard cost–benefit analysis breaks down if there is a possibility of catastrophes occurring. This result has a significant influence on debates regarding the economics of climate change. In this study, we present an intuitive similarity between the dismal theorem and the St. (...) Petersburg paradox using a simple discrete probability distribution. (shrink)

The purpose of this paper is to investigate the relationship between collective rationality and permissible collective choice rules using a unified approach inspired by Bossert and Suzumura (J Econ Theory 138:311–320, 2008). We consider collective choice rules satisfying four axioms: unrestricted domain, strong Pareto, anonymity, and neutrality. A number of new classes of collective choice rules as well as the Pareto and Pareto extension rules are characterized under various concepts of collective rationality: acyclicity, transitivity, quasi-transitivity, semi-transitivity, and the interval order (...) property. Further, new concepts of collective rationality, K-term acyclicity and K-term consistency, are proposed and the corresponding characterizations are provided. (shrink)

This paper provides an axiomatic analysis of sufficientarian social evaluation. Sufficientarianism has emerged as an increasingly important notion of distributive justice. We propose a class of principles that we label generalized critical-level sufficientarian orderings. The distinguishing feature of our new class is that its members exhibit constant critical levels of well-being that are allowed to differ from the threshold of sufficiency. Our basic axiom assigns priority to those below the threshold, a property that is shared by numerous other sufficientarian approaches. (...) When combined with the well-known strong Pareto principle and the assumption that there be a constant critical level, the axiom implies that the critical level cannot be below the threshold. The main results of the paper are characterizations of our new class and an important subclass. As a final observation, we identify the generalized critical-level sufficientarian orderings that permit us to avoid the repugnant conclusion and the sadistic conclusion, which are known as two fundamental challenges in population ethics. (shrink)

This paper is concerned with the problem of extending an antisymmetric binary relation on a set to a linear order on the power set. A necessary and sufficient condition is offered.

This paper is concerned with an aggregation of individual preferences. We introduce the concept of weak independent decisiveness, which is a weakening of Sen’s independent decisiveness. We show that a Paretian social welfare function satisfies weak independent decisiveness if and only if the family of weakly decisive sets forms an ultrafilter.

In this paper, the independence of irrelevant alternatives and the Pareto principle are simultaneously weakened in the Arrovian framework of social choice. Moreover, we also relax transitivity of social preferences. We show that impossibility remains under weaker versions of Arrow’s original conditions. Our results complement the recent work by Coban and Sanver (Soc Choice Welf 43(4):953–961, 2014).

This paper considers the trade-off between unanimity and anonymity in collective decision-making with an infinite population. This efficiency-equity trade-off is a fundamental difficulty in making a normative judgment in a conflict between generations. In particular, it is known that this trade-off is quite sensitive in the formulation of unanimity axioms. In this study, we consider the trade-off in a preference-aggregation framework instead of the standard utility-aggregation framework. We show that there exists a social welfare function that satisfies I-strong Pareto, independence (...) of irrelevant alternatives, and finite anonymity. This contrasts with an impossibility result in the standard utility-aggregation framework, and this means that the trade-off is also sensitive for background frameworks of aggregations. (shrink)

The following is a short introduction to this special issue, which builds on and significantly extends and updates the research published recently in the Iwanami Series on Japanese economic history. First, we offer a modern interpretation of four institutional elements that are particularly important for understanding the growth path of the Japanese economy. These are (a) ownership; (b) regulation of factor markets; (c) labor mobility and (d) the judiciary. These four elements properly clarify the incentive structure behind economic institutions. We (...) then briefly explain how the four articles in this special issue—two at the macro level providing updated estimates of long-run rates of growth in gross domestic product (GDP) and total factor productivity (TFP), and two at the micro level examining institutional changes in specific markets—build on this unified framework, and deepen our understanding of Japanese economic history. (shrink)

This paper provides an alternative proof of the Gibbard–Satterthwaite theorem.

Suzumura consistency is a necessary and sufficient condition for the existence of a weak-order extension. This paper provides some remarks on collective choice rules that generate Suzumura consistent social preferences. We examine the properties of such collective choice rules by introducing a procedural condition on collective choice rules. As applications of the procedural condition, we first investigate the decisive structure of a Paretian collective choice rule, and then consider the assignment of individual rights. In our analysis, the concept of semi-decisiveness (...) works effectively. (shrink)

-/- This unique book develops an operational approach to preference and rationality as the author employs operators over binary relations to capture the concept of rationality. -/- A preference is a basis of individual behavior and social judgment and is mathematically regarded as a binary relation on the set of alternatives. Traditionally, an individual/social preference is assumed to satisfy completeness and transitivity. However, each of the two conditions is often considered to be too demanding; and then, weaker rationality conditions are (...) introduced by researchers. This book argues that the preference rationality conditions can be captured mathematically by “operators,” which are mappings from the set of operators to itself. This operational approach nests traditional concepts in individual/social decision theory and clarifies the underlying formal structure of preference rationality. -/- The author also applies his approach to welfare economics. The core problem of ‘new welfare economics,’ developed by Kaldor, Hicks, and Samuelson, is the rationality of social preference. In this book the author translates the social criteria proposed by those three economists into operational forms, which provide new insights into welfare economics extending beyond ‘new welfare economics.’ . (shrink)

J.C. Beall and Greg Restall's Generalised Tarski Thesis is a generalisation of the seemingly diverse conceptions of logical consequence. However, even their apparently general account of consequence makes necessary truth-preservation a necessary condition. Sentences in the imperative mood pose a problem for any truth-preservationist account of consequence, because imperatives are not truth-apt but seem to be capable of standing in the relation of logical consequence. In this paper, I show that an imperative logic can be formulated that solves the problem (...) of imperative consequence by leading naturally to a further generalisation of the GTT. (shrink)

This paper is concerned with the implications of unanimity and anonymity for the Arrovian social choice theory when population is infinite. Contrary to the finite population case, various unanimity and anonymity axioms can be formulated. We show a tension between unanimity and anonymity by providing possibility and impossibility results. We also examine the case in which social preferences are allowed to be quasi-transitive.

Schwartz [A Procedural Condition Necessary and Sufficient for Cyclic Social Preference, J. Econ. Theory 137 (2007), 688–695] provides a generalization of the voting paradox by using the impotence‐partition condition. This paper aims to clarify his result by providing several remarks. We show that a main result of Schwartz can be strengthened by replacing strong Pareto by weak Pareto. We also discuss how the impotence partition is related to the standard concept of decisiveness, which is widely employed in the literature on (...) social choice. (shrink)

On March 16, 2020, the Director-General of the World Health Organization said: “We have a simple message to all countries—test, test, test.” This seems like sound advice, but what if limiting the number of tests has a positive effect on infection control? Although this may rarely be the case, the possibility raises an important ethical question that is closely related to a central tension between deontological and consequentialist approaches to ethics. In this paper, we first argue that early during the (...) COVID-19 pandemic, Japan offers an interesting case because it experienced few deaths due to COVID while the number of tests was limited, suggesting that there may be cases in which low testing contributes to infection control indeed. After that, we examine deontological constraints on such a “low-testing” policy, focusing on issues related to a supposed “right to know,” which is a central issue in medical ethics in general. (shrink)

This article investigates the relationship among the weak Pareto principle, the strong Pareto principle, and positive responsiveness in the context of voting. First, it is shown that under a mild domain condition, if an anonymous and neutral collective choice rule (CCR) is complete and transitive, then the weak Pareto principle and the strong Pareto principle are equivalent. Next, it is shown that under another mild domain condition, if a neutral CCR is transitive, then the strong Pareto principle and positive responsiveness (...) are equivalent. By applying these results, we obtain a new characterization of the method of majority decision. (shrink)

Since Kenneth Arrow showed the general possibility theorem, a number of social choice theorists have provided alternative proofs of it. In a recent article, Geanakoplos (Econ Theory 26:211–215, 2005) has constructed a new proof of the theorem. The present article provides alternative proofs of various Arrovian impossibility results from the 1960s to the 1970s by utilizing Geanakoplos’s method. We prove semi-order impossibility theorems, the quasi-transitive veto theorem, the quasi-transitive dictatorship theorem, the triple acyclic veto theorem, and the impossibility theorem without (...) the Pareto principle. (shrink)

This paper aims to reexamine the axiom of the independence of irrelevant alternatives in the theory of social choice. A generalized notion of independence is introduced to clarify an informational requirement of binary independence which is usually imposed in the Arrovian framework. We characterize the implication of binary independence.

We examine a general class of variable-value population principles. Our particular focus is on the extent to which such principles can avoid the repugnant and sadistic conclusions. We show that if a mild limit property is imposed, avoidance of the repugnant conclusion implies the sadistic conclusion. This result generalizes earlier observations by showing that they apply to a substantially larger class of principles. Our second theorem states that, under the limit property, the axiom of mere addition also conflicts with avoidance (...) of the repugnant conclusion. This result is a consequence of a similar observation that appears in the earlier literature. (shrink)

We examine the impact of Suzumura’s (Economica 43:381–390, 1976) consistency property when applied in the context of collective choice rules that are independent of irrelevant alternatives, neutral, and monotonic. An earlier contribution by Blau and Deb (Econometrica 45:871–879, 1977) establishes the existence of a vetoer if the collective relation is required to be complete and acyclical. The purpose of this paper is to explore the possibilities that result if completeness and acyclicity are dropped and Suzumura consistency is imposed instead. A (...) conceptually similar but logically independent version of the combined axiom that requires the collective decision mechanism to be independent, neutral, and monotonic is employed. In the case of a finite population, we obtain an alternative impossibility theorem if a collective choice rule is assumed to be non-degenerate and a modified no veto requirement is imposed instead of Blau and Deb’s (1977) condition. If the population is countably infinite, the impossibility can be avoided but it resurfaces if our new no veto property is extended to a coalitional variant. (shrink)

This paper examines social choice theory with the strong Pareto principle. The notion of conditional decisiveness is introduced to clarify the underlying power structure behind strongly Paretian aggregation rules satisfying binary independence. We discuss the various degrees of social rationality: transitivity, semi-transitivity, the interval-order property, quasi-transitivity, and acyclicity.

This article considers social choice theory without the Pareto principle. We revisit the trade-off theorem developed by Campbell and Kelly (Econometrica 61:1355–1365, 1993) and generalize their result. By introducing an alternative measure of decisive structure, a dominance relation, we show that if a social welfare function dominates another social welfare function, then the number of pairs of alternatives which social ranking is independently of individual preferences under the former is not more than that under the latter. Moreover, we offer two (...) applications of our main result. (shrink)

Arrow’s impossibility theorem states that if an aggregation rule satisfies unrestricted domain, weak Pareto, independence of irrelevant alternatives, and collective rationality, then there exists a dictator. Among others, Arrow’s postulate of collective rationality is controversial. We propose a new axiom for an aggregation rule, decisiveness coherence, which is weaker than collective rationality. It is shown that given the Arrovian axioms other than collective rationality, a dictatorship arises if and only if decisiveness coherence is satisfied. Moreover, we introduce weak versions of (...) decisive coherence and examine these implications. (shrink)

This paper addresses the Arrovian social choice problem. Our focus is the role of positive responsiveness, which requires social judgments to be strongly monotonic with respect to individual judgments. We clarify the structure of decisive coalitions associated with collective choice rules that satisfy positive responsiveness and Arrow's axioms. Transitivity of social preferences is relaxed to quasi‐transitivity or acyclicity.