Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.

This essay discusses the nature of collective responsibility and explores various controversies associated with its possibility and normative value.

T. J. Smiley; XII.—Entailment and Deducibility, Proceedings of the Aristotelian Society, Volume 59, Issue 1, 1 June 1959, Pages 233–254, https://doi.org/10.1093.

Explains why Bob Hale's proposed notion of weak sense cannot explain the analyticity of Hume's principle as he claims. Argues that no other notion of the sort Hale wants could do the job either.

The question of responsibility plays a critical role not only in our attempts to resolve social and political problems, but in our very conceptions of what those problems are. Who, for example, is to blame for apartheid in South Africa? Is the South African government responsible? What about multinational corporations that do business there? Will uncovering the "true facts of the matter" lead us to the right answer? In an argument both compelling and provocative, Marion Smiley demonstrates how attributions (...) of blame—far from being based on an objective process of factual discovery—are instead judgments that we ourselves make on the basis of our own political and social points of view. She argues that our conception of responsibility is a singularly modern one that locates the source of blameworthiness in an individual's free will. After exploring the flaws inherent in this conception, she shows how our judgments of blame evolve out of our configuration of social roles, our conception of communal boundaries, and the distribution of power upon which both are based. The great strength of Smiley's study lies in the way in which it brings together both rigorous philosophical analysis and an appreciation of the dynamics of social and political practice. By developing a pragmatic conception of moral responsibility, this work illustrates both how moral philosophy can enhance our understanding of social and political practices and why reflection on these practices is necessary to the reconstruction of our moral concepts. (shrink)

How can we make sense of future-looking collective responsibility? What is its moral basis and how -- under what conditions -- can we ascribe it to particular groups? I address these questions below and, in doing so, argue that in ascribing future-looking collective responsibility we need to bring claims of backward-looking (causal) responsibility together with judgments of fairness, practicality, and group identity.

This book has three goals. The first is to demonstrate that the modern, distinctly Kantian, notion of moral responsibility is incoherent by virtue of the way it fuses free will and blameworthiness. The second is to develop an alternative notion of moral responsibility that separates causal responsibility from blameworthiness and views both as relative to the boundaries of our moral community. The third is to establish a framework for arguing openly about our moral responsibility for particular kinds of harm.

This essay argues that while the notion of collective responsibiility is incoherent if it is taken to be an application of the Kantian model of moral responsibility to groups, it is coherent -- and important -- if formulated in terms of the moral reactions that we can have to groups that cause harm in the world. I formulate collective responsibility as such and in doing so refocus attention from intentionality to the production of harm.

Timothy Smiley; I*—The Presidential Address: The Schematic Fallacy, Proceedings of the Aristotelian Society, Volume 83, Issue 1, 1 June 1983, Pages 1–18, https.

Call a term ‘pseudo-singular’ if it is syntactically singular but semantically plural. ‘The pair who wrote Principia’ is a good example, standing as it does for the two individuals, Whitehead and Russell. In this journal (2021), Eric Snyder and Stewart Shapiro launched an attack on the idea, calling it ‘linguistically and logically untenable.’ In this reply we rebut every one of their criticisms.

English has plural terms as well as singular terms. But our standard formal languages, e.g., the predicate calculus, feature only singular terms. How can the plural idiom be formalized?‘Changing the subject’ is by far the most common plurals strategy among both philosophers and linguists: a plural term is replaced by a singular term standing for some complex object that ‘contains’ the individuals to which the plural term alludes. For example, one might simply replace ‘A, B imply C’ with ‘{A, B} (...) implies [singular] C’. We uncover a surprising variety of ways to change the subject, of ever‐increasing complexity and ingenuity. Our question is whether any can made to work. (shrink)

Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.

Timothy Smiley; I*—The Presidential Address: The Schematic Fallacy, Proceedings of the Aristotelian Society, Volume 83, Issue 1, 1 June 1983, Pages 1–18, https.

The history of the idea of predicate is the history of its emancipation. The lesson of this paper is that there are two more steps to take. The first is to recognize that predicates need not have a fixed degree, the second that they can combine with plural terms. We begin by articulating the notion of a multigrade predicate: one that takes variably many arguments. We counter objections to the very idea posed by Peirce, Dummett's Frege, and Strawson. We show (...) that the arguments of a multigrade predicate must be grouped into places, with perhaps several arguments occupying positions at a place. Variability may relate to places or positions. Russell's multiple judgement predicate turns out to be just one example of a family-'is necessarily true of', 'is said of', 'is instantiated by' and so on-of predicates with variably many places. Our main concern, however, is lists. Any adequate account of lists must include plural as well as singular terms. On one account, lists are mere strings of separate arguments, which occupy variably many positions within a place of a multigrade predicate. A quite different account takes the list itself to be a compound plural term. We compare these rival conceptions, and reach some surprising conclusions. As a coda, we deploy the conceptual apparatus developed in the paper to assess Morton's pioneer system of multigrade logic. (shrink)

Questions about knowledge, and about the relation between logic and language, are at the heart of philosophy. Eleven distinguished philosophers from Britain and America contribute papers on such questions. All the contributions are examples of recent philosophy at its best. The first half of the book constitutes a running debate about knowledge, evidence and doubt. The second half tackles questions about logic and its relation to language.

This essay argues that the concept of dependence now invoked in noramtive discussions of the welfare state is both incoherent and biased as a result of its conflation of four distinctly different notions of dependence, ranging from the purely causal to that associated with lower class identities.

Multiple -conclusion logic extends formal logic by allowing arguments to have a set of conclusions instead of a single one, the truth lying somewhere among the conclusions if all the premises are true. The extension opens up interesting possibilities based on the symmetry between premises and conclusions, and can also be used to throw fresh light on the conventional logic and its limitations. This is a sustained study of the subject and is certain to stimulate further research. Part I reworks (...) the fundamental ideas of logic to take account of multiple conclusions, and investigates the connections between multiple - and single - conclusion calculi. Part II draws on graph theory to discuss the form and validity of arguments independently of particular logical systems. Part III contrasts the multiple - and the single - conclusion treatment of one and the same subject, using many-valued logic as the example; and Part IV shows how the methods of 'natural deduction' can be matched by direct proofs using multiple conclusions. (shrink)

This essay defends a pragmatic approach to transitional justice by arguing that it provides a convincing view of the relationships between theory and practice and is true to the nature of democratic justice itself.

“I didn’t know what I was doing”. “I was totally out of control.” Since we accept and reject such excuses all the time in practice—and frequently do so with great confidence—we might be expected to have grasped what it means for a volitional excuse to be valid in general and to have developed a well thought out set of criteria for judging the validity of such excuses in practice. But, as it turns out, we have not done either of these (...) things. Hence, we are not now able to argue openly about the validity of particular pleas of ignorance and mental incompetence in practice. I set out to remedy this situation below by articulating the nature of volitional excuses in general and by underscoring the role that our moral expectations play in the validation process.I begin in Part One by exploring the nature of volitional excuses themselves. I argue that volitional excuses are not, as we sometimes assume, heuristic devices for discovering that an individual freely willed her bad actions in some. (shrink)

Alex Oliver and Timothy Smiley provide a new account of plural logic. They argue that there is such a thing as genuinely plural denotation in logic, and expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists.